Processus stochastiques en temps long (2010)
Les modélisations de phénomènes d'évolution aléatoire issus de la biologie, de l'informatique, et de la physique constituent un thème riche et incontournable des mathématiques appliquées...
Spectrum of non-Hermitian heavy tailed random matrices (2010)
Bordenave, Charles, Caputo, Pietro, Chafai, Djalil
Let (X_{jk})_{j,k>=1} be i.i.d. complex random variables such that |X_{jk}| is in the domain of attraction of an alpha-stable law, with 0< alpha
Spectrum of non-Hermitian heavy tailed random matrices (2010)
Bordenave, Charles, Caputo, Pietro, Chafai, Djalil
Let (X_{jk})_{j,k>=1} be i.i.d. complex random variables such that |X_{jk}| is in the domain of attraction of an alpha-stable law, with 0< alpha
Spectrum of non-Hermitian heavy tailed random matrices (2010)
Bordenave, Charles, Caputo, Pietro, Chafai, Djalil
Let (X_{jk})_{j,k>=1} be i.i.d. complex random variables such that |X_{jk}| is in the domain of attraction of an alpha-stable law, with 0< alpha
Asymptotic analysis and diffusion limit of the Persistent Turning Walker Model (2010)
Cattiaux, Patrick, Chafai, Djalil, Motsch, Sébastien
The Persistent Turning Walker Model (PTWM) was introduced by Gautrais et al in Mathematical Biology for the modelling of fish motion. It involves a nonlinear pathwise functional of a non-elliptic...
Asymptotic analysis and diffusion limit of the Persistent Turning Walker Model (2010)
Cattiaux, Patrick, Chafai, Djalil, Motsch, Sébastien
The Persistent Turning Walker Model (PTWM) was introduced by Gautrais et al in Mathematical Biology for the modelling of fish motion. It involves a nonlinear pathwise functional of a non-elliptic...
Spectrum of large random reversible Markov chains: two examples (2010)
Bordenave, Charles, Caputo, Pietro, Chafai, Djalil
We take on a Random Matrix theory viewpoint to study the spectrum of certain reversible Markov chains in random environment. As the number of states tends to infinity, we consider the global behavior...
Spectrum of large random reversible Markov chains: two examples (2010)
Bordenave, Charles, Caputo, Pietro, Chafai, Djalil
We take on a Random Matrix theory viewpoint to study the spectrum of certain reversible Markov chains in random environment. As the number of states tends to infinity, we consider the global behavior...
Chafai, Djalil, Malrieu, Florent
Mixtures are convex combinations of laws. Despite this simple definition, a mixture can be far more subtle than its mixed components. For instance, mixing Gaussian laws may produce a potential with...
Chafai, Djalil, Malrieu, Florent
Mixtures are convex combinations of laws. Despite this simple definition, a mixture can be far more subtle than its mixed components. For instance, mixing Gaussian laws may produce a potential with...
The Dirichlet Markov Ensemble (2010)
We equip the polytope of $n\times n$ Markov matrices with the normalized trace of the Lebesgue measure of $\mathbb{R}^{n^2}$. This probability space provides random Markov matrices, with i.i.d.\ rows...
The Dirichlet Markov Ensemble (2010)
We equip the polytope of $n\times n$ Markov matrices with the normalized trace of the Lebesgue measure of $\mathbb{R}^{n^2}$. This probability space provides random Markov matrices, with i.i.d.\ rows...
The Dirichlet Markov Ensemble (2010)
We equip the polytope of $n\times n$ Markov matrices with the normalized trace of the Lebesgue measure of $\mathbb{R}^{n^2}$. This probability space provides random Markov matrices, with i.i.d.\ rows...
The Dirichlet Markov Ensemble (2010)
We equip the polytope of $n\times n$ Markov matrices with the normalized trace of the Lebesgue measure of $\mathbb{R}^{n^2}$. This probability space provides random Markov matrices, with i.i.d.\ rows...
The Dirichlet Markov Ensemble (2010)
We equip the polytope of $n\times n$ Markov matrices with the normalized trace of the Lebesgue measure of $\mathbb{R}^{n^2}$. This probability space provides random Markov matrices, with i.i.d.\ rows...
Chafai, Djalil, Malrieu, Florent
Mixtures are convex combinations of laws. Despite this simple definition, a mixture can be far more subtle than its mixed components. For instance, mixing Gaussian laws may produce a potential with...
Asymptotic analysis and diffusion limit of the Persistent Turning Walker Model (2010)
Cattiaux, Patrick, Chafai, Djalil, Motsch, Sébastien
The Persistent Turning Walker Model (PTWM) was introduced by Gautrais et al in Mathematical Biology for the modelling of fish motion. It involves a nonlinear pathwise functional of a non-elliptic...
Confidence regions for the multinomial parameter with small sample size (2009)
Chafai, Djalil, Concordet, Didier
Consider the observation of n iid realizations of an experiment with d>1 possible outcomes, which corresponds to a single observation of a multinomial distribution M(n,p) where p is an unknown...
Confidence regions for the multinomial parameter with small sample size (2009)
Chafai, Djalil, Concordet, Didier
Consider the observation of n iid realizations of an experiment with d>1 possible outcomes, which corresponds to a single observation of a multinomial distribution M(n,p) where p is an unknown...
Spectrum of large random reversible Markov chains: heavy tailed weights on the complete graph (2009)
Bordenave, Charles, Caputo, Pietro, Chafai, Djalil
We consider the random reversible Markov kernel K obtained by assigning i.i.d. non negative weights to the edges of the complete graph over n vertices, and normalizing by the corresponding row sum....
Spectrum of large random reversible Markov chains: heavy tailed weights on the complete graph (2009)
Bordenave, Charles, Caputo, Pietro, Chafai, Djalil
We consider the random reversible Markov kernel K obtained by assigning i.i.d. non negative weights to the edges of the complete graph over n vertices, and normalizing by the corresponding row sum....
Spectrum of large random reversible Markov chains: heavy tailed weights on the complete graph (2009)
Bordenave, Charles, Caputo, Pietro, Chafai, Djalil
We consider the random reversible Markov kernel K obtained by assigning i.i.d. non negative weights to the edges of the complete graph over n vertices, and normalizing by the corresponding row sum....
Chafai, Djalil, Concordet, Didier
We propose a new method for the Maximum Likelihood Estimator (MLE) of nonlinear mixed effects models when the variance matrix of Gaussian random effects has a prescribed pattern of zeros (PPZ). The...
Chafai, Djalil, Concordet, Didier
We propose a new method for the Maximum Likelihood Estimator (MLE) of nonlinear mixed effects models when the variance matrix of Gaussian random effects has a prescribed pattern of zeros (PPZ). The...
Comparison of nonparametric methods in nonlinear mixed effects models (2009)
Antic, Julie, Laffont, Céline, Chafai, Djalil, Concordet, Didier
During the drug development, nonlinear mixed effects models are routinely used to study the drug's pharmacokinetics and pharmacodynamics. The distribution of random effects is of special interest...
Comparison of nonparametric methods in nonlinear mixed effects models (2009)
Antic, Julie, Laffont, Céline, Chafai, Djalil, Concordet, Didier
During the drug development, nonlinear mixed effects models are routinely used to study the drug's pharmacokinetics and pharmacodynamics. The distribution of random effects is of special interest...
Chafai, Djalil, Concordet, Didier
We propose a new method for the Maximum Likelihood Estimator (MLE) of nonlinear mixed effects models when the variance matrix of Gaussian random effects has a prescribed pattern of zeros (PPZ). The...
Chafai, Djalil, Concordet, Didier
We propose a new method for the Maximum Likelihood Estimator (MLE) of nonlinear mixed effects models when the variance matrix of Gaussian random effects has a prescribed pattern of zeros (PPZ). The...
Confidence regions for the multinomial parameter with small sample size (2009)
Chafai, Djalil, Concordet, Didier
Consider the observation of n iid realizations of an experiment with d>1 possible outcomes, which corresponds to a single observation of a multinomial distribution M(n,p) where p is an unknown...
Confidence regions for the multinomial parameter with small sample size (2009)
Chafai, Djalil, Concordet, Didier
Consider the observation of n iid realizations of an experiment with d>1 possible outcomes, which corresponds to a single observation of a multinomial distribution M(n,p) where p is an unknown...
Comparison of nonparametric methods in nonlinear mixed effects models (2009)
Antic, Julie, Laffont, Céline, Chafai, Djalil, Concordet, Didier
During the drug development, nonlinear mixed effects models are routinely used to study the drug's pharmacokinetics and pharmacodynamics. The distribution of random effects is of special interest...
Comparison of nonparametric methods in nonlinear mixed effects models (2009)
Antic, Julie, Laffont, Céline, Chafai, Djalil, Concordet, Didier
During the drug development, nonlinear mixed effects models are routinely used to study the drug's pharmacokinetics and pharmacodynamics. The distribution of random effects is of special interest...
Bordenave, Charles, Caputo, Pietro, Chafai, Djalil
We consider the random reversible Markov kernel K on the complete graph with n vertices obtained by putting i.i.d. positive weights of law L on the n(n+1)/2 edges of the graph and normalizing each...
Bordenave, Charles, Caputo, Pietro, Chafai, Djalil
We consider the random reversible Markov kernel K on the complete graph with n vertices obtained by putting i.i.d. positive weights of law L on the n(n+1)/2 edges of the graph and normalizing each...
Bordenave, Charles, Caputo, Pietro, Chafai, Djalil
We consider the random reversible Markov kernel K on the complete graph with n vertices obtained by putting i.i.d. positive weights of law L on the n(n+1)/2 edges of the graph and normalizing each...
Bordenave, Charles, Caputo, Pietro, Chafai, Djalil
We consider the random reversible Markov kernel K on the complete graph with n vertices obtained by putting i.i.d. positive weights of law L on the n(n+1)/2 edges of the graph and normalizing each...
Chafai, Djalil, Concordet, Didier
We propose a new method for the Maximum Likelihood Estimator (MLE) of nonlinear mixed effects models when the variance matrix of Gaussian random effects has a prescribed pattern of zeros (PPZ). The...
Confidence regions for the multinomial parameter with small sample size (2009)
Chafai, Djalil, Concordet, Didier
Consider the observation of n iid realizations of an experiment with d>1 possible outcomes, which corresponds to a single observation of a multinomial distribution M(n,p) where p is an unknown...
Bordenave, Charles, Caputo, Pietro, Chafai, Djalil
We consider the random reversible Markov kernel K on the complete graph with n vertices obtained by putting i.i.d. positive weights of law L on the n(n+1)/2 edges of the graph and normalizing each...
Comparison of nonparametric methods in nonlinear mixed effects models (2009)
Antic, Julie, Laffont, Céline, Chafai, Djalil, Concordet, Didier
During the drug development, nonlinear mixed effects models are routinely used to study the drug's pharmacokinetics and pharmacodynamics. The distribution of random effects is of special interest...
Chafai, Djalil, Malrieu, Florent
Mixtures are convex combinations of laws. Despite this simple definition, a mixture can be far more subtle than its mixed components. For instance, mixing Gaussian laws may produce a wild potential...
On the long time behavior of the TCP window size process (2008)
Chafai, Djalil, Malrieu, Florent, Paroux, Katy
The TCP window size process appears in the modeling of the famous Transmission Control Protocol used over the Internet. This continuous time Markov process takes its values in $[0,\infty)$, is...
On the long time behavior of the TCP window size process (2008)
Chafai, Djalil, Malrieu, Florent, Paroux, Katy
The TCP window size process appears in the modeling of the famous Transmission Control Protocol used for data transmission over the Internet. This continuous time Markov process takes its values in...
On the long time behavior of the TCP window size process (2008)
Chafai, Djalil, Malrieu, Florent, Paroux, Katy
The TCP window size process appears in the modeling of the famous Transmission Control Protocol used for data transmission over the Internet. This continuous time Markov process takes its values in...
On the long time behavior of the TCP window size process (2008)
Chafai, Djalil, Malrieu, Florent, Paroux, Katy
The TCP window size process appears in the modeling of the famous Transmission Control Protocol used for data transmission over the Internet. This continuous time Markov process takes its values in...
Spectrum of large random reversible Markov chains: two examples (2008)
Bordenave, Charles, Caputo, Pietro, Chafai, Djalil
We take on a Random Matrix theory viewpoint to study the spectrum of certain reversible Markov chains in random environment. As the number of states tends to infinity, we consider the global behavior...
Asymptotic analysis and diffusion limit of the Persistent Turning Walker Model (2008)
Cattiaux, Patrick, Chafai, Djalil, Motsch, Sébastien
The Persistent Turning Walker Model (PTWM) was introduced by Gautrais et al in Mathematical Biology for the modelling of fish motion. It involves a nonlinear pathwise functional of a non-elliptic...
On gradient bounds for the heat kernel on the Heisenberg group (2008)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its Lévy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
On gradient bounds for the heat kernel on the Heisenberg group (2008)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its Lévy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
Les travaux présentés concernent trois thématiques autonomes :(1) Modèles biologiques et statistique : modèles compartimentaux, pharmacocinétique et pharmacodynamie de population, estimateurs...
Les travaux présentés concernent trois thématiques autonomes :(1) Modèles biologiques et statistique : modèles compartimentaux, pharmacocinétique et pharmacodynamie de population, estimateurs...
Les travaux présentés concernent trois thématiques autonomes :(1) Modèles biologiques et statistique : modèles compartimentaux, pharmacocinétique et pharmacodynamie de population, estimateurs...
Circular Law Theorem for Random Markov Matrices (2008)
Let X be a random matrix of dimension n with i.i.d. non negative real entries with unit mean, finite positive variance sigma^2 and finite fourth moment. Let M be the random Markov matrix with i.i.d....
Circular Law Theorem for Random Markov Matrices (2008)
Let X be a random matrix of dimension n with i.i.d. non negative real entries with unit mean, finite positive variance sigma^2 and finite fourth moment. Let M be the random Markov matrix with i.i.d....
Circular Law Theorem for Random Markov Matrices (2008)
Let $(X_{i,j})$ be an infinite array of i.i.d. non negative real random variables with unit mean, finite positive variance $\sigma^2$, and finite fourth moment. Let $M$ be the $n\times n$ random...
Circular Law Theorem for Random Markov Matrices (2008)
Let $(X_{i,j})$ be an infinite array of i.i.d. non negative real random variables with unit mean, finite positive variance $\sigma^2$, and finite fourth moment. Let $M$ be the $n\times n$ random...
Circular Law Theorem for Random Markov Matrices (2008)
Bordenave, Charles, Caputo, Pietro, Chafai, Djalil
Consider an nxn random matrix X with i.i.d. nonnegative entries with bounded density, mean m, and finite positive variance sigma^2. Let M be the nxn random Markov matrix with i.i.d. rows obtained...
Circular Law Theorem for Random Markov Matrices (2008)
Bordenave, Charles, Caputo, Pietro, Chafai, Djalil
Consider an nxn random matrix X with i.i.d. nonnegative entries with bounded density, mean m, and finite positive variance sigma^2. Let M be the nxn random Markov matrix with i.i.d. rows obtained...
Circular Law Theorem for Random Markov Matrices (2008)
Bordenave, Charles, Caputo, Pietro, Chafai, Djalil
Consider an nxn random matrix X with i.i.d. nonnegative entries with bounded density, mean m, and finite positive variance sigma^2. Let M be the nxn random Markov matrix with i.i.d. rows obtained...
Chafai, Djalil, Concordet, Didier
We present a continuous time model of maturation and survival, obtained as the limit of a compartmental evolution model when the number of compartments tends to infinity. We establish in particular...
Chafai, Djalil, Concordet, Didier
We present a continuous time model of maturation and survival, obtained as the limit of a compartmental evolution model when the number of compartments tends to infinity. We establish in particular...
Chafai, Djalil, Concordet, Didier
We propose a new method for the Maximum Likelihood Estimator (MLE) of nonlinear mixed effects models when the variance matrix of Gaussian random effects has a prescribed pattern of zeros (PPZ). The...
Chafai, Djalil, Concordet, Didier
We propose a new method for the Maximum Likelihood Estimator (MLE) of nonlinear mixed effects models when the variance matrix of Gaussian random effects has a prescribed pattern of zeros (PPZ). The...
Confidence regions for the multinomial parameter with small sample size (2008)
Chafai, Djalil, Concordet, Didier
Consider the observation of n iid realizations of an experiment with d>1 possible outcomes, which corresponds to a single observation of a multinomial distribution M_d(n,p) where p is an unknown...
Confidence regions for the multinomial parameter with small sample size (2008)
Chafai, Djalil, Concordet, Didier
Consider the observation of n iid realizations of an experiment with d>1 possible outcomes, which corresponds to a single observation of a multinomial distribution M_d(n,p) where p is an unknown...
Confidence regions for the multinomial parameter with small sample size (2008)
Chafai, Djalil, Concordet, Didier
Consider the observation of n iid realizations of an experiment with d>1 possible outcomes, which corresponds to a single observation of a multinomial distribution M(n,p) where p is an unknown...
Chafai, Djalil, Malrieu, Florent
Mixtures are convex combinations of laws. Despite this simple definition, a mixture can be far more subtle than its mixed components. For instance, mixing Gaussian laws may produce a wild potential...
On gradient bounds for the heat kernel on the Heisenberg group (2008)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its L\'evy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
On gradient bounds for the heat kernel on the Heisenberg group (2008)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its L\'evy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
Chafai, Djalil, Malrieu, Florent
Mixtures are convex combinations of laws. Despite this simple definition, a mixture can be far more subtle than its mixed components. For instance, mixing Gaussian laws may produce a potential with...
On gradient bounds for the heat kernel on the Heisenberg group (2008)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its L\'evy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
On gradient bounds for the heat kernel on the Heisenberg group (2008)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its L\'evy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
Chafai, Djalil, Concordet, Didier
We present a continuous time model of maturation and survival, obtained as the limit of a compartmental evolution model when the number of compartments tends to infinity. We establish in particular...
Chafai, Djalil, Concordet, Didier
We present a continuous time model of maturation and survival, obtained as the limit of a compartmental evolution model when the number of compartments tends to infinity. We establish in particular...
Comparison of nonparametric methods in nonlinear mixed effects models (2008)
Antic, Julie, Laffont, Céline, Chafai, Djalil, Concordet, Didier
During the drug development, nonlinear mixed effects models are routinely used to study the drug's pharmacokinetics and pharmacodynamics. The distribution of random effects is of special interest...
Comparison of nonparametric methods in nonlinear mixed effects models (2008)
Antic, Julie, Laffont, Céline, Chafai, Djalil, Concordet, Didier
During the drug development, nonlinear mixed effects models are routinely used to study the drug's pharmacokinetics and pharmacodynamics. The distribution of random effects is of special interest...
Circular Law Theorem for Random Markov Matrices (2008)
Let $(X_{i,j})$ be an infinite array of i.i.d. non negative real random variables with unit mean, finite positive variance $\sigma^2$, and finite fourth moment. Let $M$ be the $n\times n$ random...
Circular Law Theorem for Random Markov Matrices (2008)
Let $(X_{i,j})$ be an infinite array of i.i.d. non negative real random variables with unit mean, finite positive variance $\sigma^2$, and finite fourth moment. Let $M$ be the $n\times n$ random...
On gradient bounds for the heat kernel on the Heisenberg group (2008)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its Lévy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
On gradient bounds for the heat kernel on the Heisenberg group (2008)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its Lévy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
Asymptotic analysis and diffusion limit of the Persistent Turning Walker Model (2008)
Cattiaux, Patrick, Chafai, Djalil, Motsch, Sébastien
The Persistent Turning Walker Model (PTWM) was introduced by Gautrais et al in Mathematical Biology for the modelling of fish motion. It involves a nonlinear pathwise functional of a non-elliptic...
Asymptotic analysis and diffusion limit of the Persistent Turning Walker Model (2008)
Cattiaux, Patrick, Chafai, Djalil, Motsch, Sébastien
The Persistent Turning Walker Model (PTWM) was introduced by Gautrais et al in Mathematical Biology for the modelling of fish motion. It involves a nonlinear pathwise functional of a non-elliptic...
Spectrum of large random reversible Markov chains (2008)
Bordenave, Charles, Caputo, Pietro, Chafai, Djalil
In this work, we adopt a Random Matrix Theory point of view to study the spectrum of large reversible Markov chains in random environment. As the number of states tends to infinity, we consider both...
Spectrum of large random reversible Markov chains (2008)
Bordenave, Charles, Caputo, Pietro, Chafai, Djalil
In this work, we adopt a Random Matrix Theory point of view to study the spectrum of large reversible Markov chains in random environment. As the number of states tends to infinity, we consider both...
On the long time behavior of the TCP window size process (2008)
Chafai, Djalil, Malrieu, Florent, Paroux, Katy
The TCP window size process appears in the modeling of the famous Transmission Control Protocol used over the Internet. This continuous time Markov process takes its values in $[0,\infty)$, is...
Chafai, Djalil, Malrieu, Florent
Mixtures are convex combinations of laws. Despite this simple definition, a mixture can be far more subtle than its mixed components. For instance, mixing Gaussian laws may produce a potential with...
Chafai, Djalil, Malrieu, Florent
Mixtures are convex combinations of laws. Despite this simple definition, a mixture can be far more subtle than its mixed components. For instance, mixing Gaussian laws may produce a potential with...
Les travaux présentés concernent trois thématiques autonomes :(1) Modèles biologiques et statistique : modèles compartimentaux, pharmacocinétique et pharmacodynamie de population, estimateurs...
Les travaux présentés concernent trois thématiques autonomes :(1) Modèles biologiques et statistique : modèles compartimentaux, pharmacocinétique et pharmacodynamie de population, estimateurs...
Les travaux présentés concernent trois thématiques autonomes :(1) Modèles biologiques et statistique : modèles compartimentaux, pharmacocinétique et pharmacodynamie de population, estimateurs...
On the long time behavior of the TCP window size process (2008)
Chafai, Djalil, Malrieu, Florent, Paroux, Katy
The TCP window size process appears in the modeling of the famous Transmission Control Protocol used for data transmission over the Internet. This continuous time Markov process takes its values in...
On the long time behavior of the TCP window size process (2008)
Chafai, Djalil, Malrieu, Florent, Paroux, Katy
The TCP window size process appears in the modeling of the famous Transmission Control Protocol used for data transmission over the Internet. This continuous time Markov process takes its values in...
Les travaux présentés concernent trois thématiques autonomes : (1) Modèles biologiques et statistique : modèles compartimentaux, pharmacocinétique et pharmacodynamie de population, estimateurs...
Asymptotic analysis and diffusion limit of the Persistent Turning Walker Model (2008)
Cattiaux, Patrick, Chafai, Djalil, Motsch, Sébastien
The Persistent Turning Walker Model (PTWM) was introduced by Gautrais et al in Mathematical Biology for the modelling of fish motion. It involves a nonlinear pathwise functional of a non-elliptic...
Asymptotic analysis and diffusion limit of the Persistent Turning Walker Model (2008)
Cattiaux, Patrick, Chafai, Djalil, Motsch, Sébastien
The Persistent Turning Walker Model (PTWM) was introduced by Gautrais et al in Mathematical Biology for the modelling of fish motion. It involves a nonlinear pathwise functional of a non-elliptic...
Chafai, Djalil, Malrieu, Florent
Mixtures are convex combinations of laws. Despite this simple definition, a mixture can be far more subtle than its mixed components. For instance, mixing Gaussian laws may produce a potential with...
On the long time behavior of the TCP window size process (2008)
Chafai, Djalil, Malrieu, Florent, Paroux, Katy
The TCP window size process appears in the modeling of the famous Transmission Control Protocol used for data transmission over the Internet. This continuous time Markov process takes its values in...
Chafai, Djalil, Malrieu, Florent
Mixtures are convex combinations of laws. Despite this simple definition, a mixture can be far more subtle than its mixed components. For instance, mixing Gaussian laws may produce a potential with...
On the long time behavior of the TCP window size process (2008)
Chafai, Djalil, Malrieu, Florent, Paroux, Katy
The TCP window size process appears in the modeling of the famous Transmission Control Protocol used for data transmission over the Internet. This continuous time Markov process takes its values in...
On the long time behavior of the TCP window size process (2008)
Chafai, Djalil, Malrieu, Florent, Paroux, Katy
The TCP window size process appears in the modeling of the famous Transmission Control Protocol used for data transmission over the Internet. This continuous time Markov process takes its values in...
Chafai, Djalil, Concordet, Didier
We present a continuous time model of maturation and survival, obtained as the limit of a compartmental evolution model when the number of compartments tends to infinity. We establish in particular...
Les travaux présentés concernent trois thématiques autonomes :(1) Modèles biologiques et statistique : modèles compartimentaux, pharmacocinétique et pharmacodynamie de population, estimateurs...
On gradient bounds for the heat kernel on the Heisenberg group (2008)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its Lévy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
Spectrum of large random reversible Markov chains (2008)
Bordenave, Charles, Caputo, Pietro, Chafai, Djalil
In this work, we adopt a Random Matrix Theory point of view to study the spectrum of large reversible Markov chains in random environment. As the number of states tends to infinity, we consider both...
Circular Law Theorem for Random Markov Matrices (2008)
Let $(X_{i,j})$ be an infinite array of i.i.d. non negative real random variables with unit mean, finite positive variance $\sigma^2$, and finite fourth moment. Let $M$ be the $n\times n$ random...
Les travaux présentés concernent trois thématiques autonomes :(1) Modèles biologiques et statistique : modèles compartimentaux, pharmacocinétique et pharmacodynamie de population, estimateurs...
Les travaux présentés concernent trois thématiques autonomes :(1) Modèles biologiques et statistique : modèles compartimentaux, pharmacocinétique et pharmacodynamie de population, estimateurs...
On gradient bounds for the heat kernel on the Heisenberg group (2007)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its L\'evy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
On gradient bounds for the heat kernel on the Heisenberg group (2007)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its L\'evy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
Abstract. The aim of this note is to connect a reversed form of the Gross logarithmic Sobolev inequality with the Gaussian maximum of Shannon's entropy power. There is thus a complete parallel...
On gradient bounds for the heat kernel on the Heisenberg group (2007)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its L\'evy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
On gradient bounds for the heat kernel on the Heisenberg group (2007)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its L\'evy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
The Dirichlet Markov Ensemble (2007)
We equip the polytope of $n\times n$ Markov matrices with the normalized trace of the Lebesgue measure of $R^{n^2}$. This probability space provides random Markov matrices, with i.i.d. rows following...
The Dirichlet Markov Ensemble (2007)
We equip the polytope of $n\times n$ Markov matrices with the normalized trace of the Lebesgue measure of $\mathbb{R}^{n^2}$. This probability space provides random Markov matrices, with i.i.d. rows...
Chafai, Djalil, Concordet, Didier
We propose a new method for the Maximum Likelihood Estimator (MLE) of nonlinear mixed effects models when the variance matrix of Gaussian random effects has a prescribed pattern of zeros (PPZ). The...
A note on the circular law for non-central random matrices (2007)
Let $(X_{i,j})_{1\leq i,j
Circular law for non-central random matrices (2007)
Let $(X_{jk})_{j,k\geq 1}$ be an infinite array of i.i.d. complex random variables, with mean 0 and variance 1. Let $\la_{n,1},...,\la_{n,n}$ be the eigenvalues of $(\frac{1}{\sqrt{n}}X_{jk})_{1\leq...
Circular law for non-central random matrices (2007)
Let $(X_{jk})_{j,k\geq 1}$ be an infinite array of i.i.d. complex random variables, with mean $0$ and variance $1$. Let $\la_{n,1},\ldots,\la_{n,n}$ be the eigenvalues of...
Circular law for non-central random matrices (2007)
Let $(X_{jk})_{j,k\geq 1}$ be an infinite array of i.i.d. complex random variables, with mean $0$ and variance $1$. Let $\la_{n,1},\ldots,\la_{n,n}$ be the eigenvalues of...
Inspired by the recent results of C. Landim, G. Panizo and H.-T. Yau [LPY] on spectral gap and logarithmic Sobolev inequalities for unbounded conservative spin systems, we study uniform bounds in...
Gaussian maximum of entropy and reversed log-Sobolev inequality (2007)
The aim of this note is to connect a reversed form of the Gross logarithmic Sobolev inequality with the Gaussian maximum of Shannon's entropy power. There is thus a complete parallel with the...
Entropies, convexity, and functional inequalities (2007)
Our aim is to provide a short and self contained synthesis which generalise and unify various related and unrelated works involving what we call Phi-Sobolev functional inequalities. Such inequalities...
On the strong consistency of asymptotic M-estimators (2007)
Chafai, Djalil, Concordet, Didier
The aim of this article is to simplify Pfanzagl's proof of consistency for asymptotic maximum likelihood estimators, and to extend it to more general asymptotic M-estimators. The method relies on the...
The Dirichlet Markov Ensemble (2007)
We equip the polytope of $n\times n$ Markov matrices with the normalized trace of the Lebesgue measure of R^{n^2}. This probability space provides random Markov matrices, with i.i.d. rows following...
The Dirichlet Markov Ensemble (2007)
We equip the polytope of $n\times n$ Markov matrices with the normalized trace of the Lebesgue measure of R^{n^2}. This probability space provides random Markov matrices, with i.i.d. rows following...
On the strong consistency of asymptotic M-estimators (2007)
Chafai, Djalil, Concordet, Didier
The aim of this article is to simplify Pfanzagl's proof of consistency for asymptotic maximum likelihood estimators, and to extend it to more general asymptotic M-estimators. The method relies on the...
On the strong consistency of asymptotic M-estimators (2007)
Chafai, Djalil, Concordet, Didier
The aim of this article is to simplify Pfanzagl's proof of consistency for asymptotic maximum likelihood estimators, and to extend it to more general asymptotic M-estimators. The method relies on the...
On the strong consistency of asymptotic M-estimators (2007)
Chafai, Djalil, Concordet, Didier
The aim of this article is to simplify Pfanzagl's proof of consistency for asymptotic maximum likelihood estimators, and to extend it to more general asymptotic M-estimators. The method relies on the...
On the strong consistency of asymptotic M-estimators (2007)
Chafai, Djalil, Concordet, Didier
The aim of this article is to simplify Pfanzagl's proof of consistency for asymptotic maximum likelihood estimators, and to extend it to more general asymptotic M-estimators. The method relies on the...
A continuous stochastic maturation model (2006)
Chafai, Djalil, Concordet, Didier
We present a continuous time model of maturation and survival, obtained as the limit of a compartmental evolution model when the number of compartments tends to infinity. We establish in particular...
A continuous stochastic maturation model (2006)
Chafai, Djalil, Concordet, Didier
We present a continuous time model of maturation and survival, obtained as the limit of a compartmental evolution model when the number of compartments tends to infinity. We establish in particular...
Binomial-Poisson entropic inequalities and the M/M/$\infty$ queue (2006)
This article provides entropic inequalities for binomial-Poisson distributions, derived from the two point space. They appear as local inequalities of the M/M/$\infty$ queue. They describe in...
On nonparametric maximum likelihood for a class of stochastic inverse problems (2006)
Chafai, Djalil, Loubes, Jean-Michel
We establish the consistency of a nonparametric maximum likelihood estimator for a class of stochastic inverse problems. We proceed by embedding the framework into the general settings of early...
Binomial-Poisson entropic inequalities and the M/M/$\infty$ queue (2006)
This article provides entropic inequalities for binomial-Poisson distributions, derived from the two point space. They appear as local inequalities of the M/M/$\infty$ queue. They describe in...
On nonparametric maximum likelihood for a class of stochastic inverse problems (2006)
Chafai, Djalil, Loubes, Jean-Michel
We establish the consistency of a nonparametric maximum likelihood estimator for a class of stochastic inverse problems. We proceed by embedding the framework into the general settings of early...
Binomial-Poisson entropic inequalities and the M/M/$\infty$ queue (2006)
This article provides entropic inequalities for binomial-Poisson distributions, derived from the two point space. They appear as local inequalities of the M/M/$\infty$ queue. They describe in...
On nonparametric maximum likelihood for a class of stochastic inverse problems (2006)
Chafai, Djalil, Loubes, Jean-Michel
We establish the consistency of a nonparametric maximum likelihood estimator for a class of stochastic inverse problems. We proceed by embedding the framework into the general settings of early...
Binomial-Poisson entropic inequalities and the M/M/$\infty$ queue (2006)
This article provides entropic inequalities for binomial-Poisson distributions, derived from the two point space. They appear as local inequalities of the M/M/$\infty$ queue. They describe in...
On nonparametric maximum likelihood for a class of stochastic inverse problems (2006)
Chafai, Djalil, Loubes, Jean-Michel
We establish the consistency of a nonparametric maximum likelihood estimator for a class of stochastic inverse problems. We proceed by embedding the framework into the general settings of early...
Binomial-Poisson entropic inequalities and the M/M/$\infty$ queue (2006)
This article provides entropic inequalities for binomial-Poisson distributions, derived from the two point space. They appear as local inequalities of the M/M/$\infty$ queue. They describe in...
On nonparametric maximum likelihood for a class of stochastic inverse problems (2006)
Chafai, Djalil, Loubes, Jean-Michel
We establish the consistency of a nonparametric maximum likelihood estimator for a class of stochastic inverse problems. We proceed by embedding the framework into the general settings of early...
Inverse Problems in biology: NPMLE (2005)
Loubes, Jean Michel, Chafai, Djalil
Stochastic inverse problems are usual in biology, for instance it describes the pharmakocinetics of a medicine in blood. We tackle the estimation issue with a non parametric maximum likelihood...
Inégalités de Poincaré et de Gross pour les mesures de Bernoulli, de Poisson, et de Gauss (2005)
Les inégalités de Sobolev logarithmiques doivent leur nom à un article célèbre de Gross paru en 1975. Ces inégalités fonctionnelles apparaissent en particulier comme une expression de la...
Binomial-Poisson entropic inequalities and the M/M/$\infty$ queue (2005)
This article provides entropic inequalities for binomial-Poisson distributions, derived from the two point space. They appear as local inequalities of the M/M/$\infty$ queue. They describe in...
Binomial-Poisson entropic inequalities and the M/M/$\infty$ queue (2005)
This article provides entropic inequalities for binomial-Poisson distributions, derived from the two point space. They appear as local inequalities of the M/M/$\infty$ queue. They describe in...
Inégalités de Poincaré et de Gross pour les mesures de Bernoulli, de Poisson, et de Gauss (2005)
Les inégalités de Sobolev logarithmiques doivent leur nom à un article célèbre de Gross paru en 1975. Ces inégalités fonctionnelles apparaissent en particulier comme une expression de la...
Binomial-Poisson entropic inequalities and the M/M/$\infty$ queue (2005)
This article provides entropic inequalities for binomial-Poisson distributions, derived from the two point space. They appear as local inequalities of the M/M/$\infty$ queue. They describe in...
On the strong consistency of asymptotic M-estimators (2005)
Chafai, Djalil, Concordet, Didier
The aim of this article is to simplify Pfanzagl's proof of consistency for asymptotic maximum likelihood estimators, and to extend it to more general asymptotic M-estimators. The method relies on the...
On the strong consistency of approximated M-estimators (2005)
Chafai, Djalil, Concordet, Didier
The aim of this article is to provide a strong consistency Theorem for approximated M-estimators. It contains both Wald and Pfanzagl type results for maximum likelihood. The proof relies, in...
On the strong consistency of asymptotic M-estimators (2005)
Chafai, Djalil, Concordet, Didier
The aim of this article is to simplify Pfanzagl's proof of consistency for asymptotic maximum likelihood estimators, and to extend it to more general asymptotic M-estimators. The method relies on the...
On the strong consistency of asymptotic M-estimators (2005)
Chafai, Djalil, Concordet, Didier
The aim of this article is to simplify Pfanzagl's proof of consistency for asymptotic maximum likelihood estimators, and to extend it to more general asymptotic M-estimators. The method relies on the...
Inégalités de Poincaré et de Gross pour les mesures de Bernoulli, de Poisson, et de Gauss (2005)
Les inégalités de Sobolev logarithmiques doivent leur nom à un article célèbre de Gross paru en 1975. Ces inégalités fonctionnelles apparaissent en particulier comme une expression de la...
Inégalités de Poincaré et de Gross pour les mesures de Bernoulli, de Poisson, et de Gauss (2005)
Les inégalités de Sobolev logarithmiques doivent leur nom à un article célèbre de Gross paru en 1975. Ces inégalités fonctionnelles apparaissent en particulier comme une expression de la...
Inégalités de Poincaré et de Gross pour les mesures de Bernoulli, de Poisson, et de Gauss (2005)
Les inégalités de Sobolev logarithmiques doivent leur nom à un article célèbre de Gross paru en 1975. Ces inégalités fonctionnelles apparaissent en particulier comme une expression de la...
Inégalités de Poincaré et de Gross pour les mesures de Bernoulli, de Poisson, et de Gauss (2005)
Les inégalités de Sobolev logarithmiques doivent leur nom à un article célèbre de Gross paru en 1975. Ces inégalités fonctionnelles apparaissent en particulier comme une expression de la...
Inégalités de Poincaré et de Gross pour les mesures de Bernoulli, de Poisson, et de Gauss (2005)
Les inégalités de Sobolev logarithmiques doivent leur nom à un article célèbre de Gross paru en 1975. Ces inégalités fonctionnelles apparaissent en particulier comme une expression de la...
A continuous stochastic maturation model (2004)
Chafai, Djalil, Concordet, Didier
We present a continuous time model of maturation and survival, obtained as the limit of a compartmental evolution model when the number of compartments tends to infinity. We establish in particular...
A continuous stochastic maturation model (2004)
Chafai, Djalil, Concordet, Didier
We present a continuous time model of maturation and survival, obtained as the limit of a compartmental evolution model when the number of compartments tends to infinity. We establish in particular...
A continuous stochastic maturation model (2004)
Chafai, Djalil, Concordet, Didier
We present a continuous time model of maturation and survival, obtained as the limit of a compartmental evolution model when the number of compartments tends to infinity. We establish in particular...
Chafai, Djalil, Concordet, Didier
We present a continuous time model of maturation and survival, obtained as the limit of a compartmental evolution model when the number of compartments tends to infinity. We establish in particular...
On nonparametric maximum likelihood for a class of stochastic inverse problems (2004)
Chafai, Djalil, Loubes, Jean-Michel
We establish the consistency of a nonparametric maximum likelihood estimator for a class of stochastic inverse problems. We proceed by embedding the framework into the general settings of early...
On nonparametric maximum likelihood for a class of stochastic inverse problems (2004)
Chafai, Djalil, Loubes, Jean-Michel
We establish the consistency of a nonparametric maximum likelihood estimator for a class of stochastic inverse problems. We proceed by embedding the framework into the general settings of early...
On nonparametric maximum likelihood for a class of stochastic inverse problems (2004)
Chafai, Djalil, Loubes, Jean-Michel
We establish the consistency of a nonparametric maximum likelihood estimator for a class of stochastic inverse problems. We proceed by embedding the framework into the general settings of early...
Entropies, convexity, and functional inequalities (2002)
Our aim is to provide a short and self contained synthesis which generalise and unify various related and unrelated works involving what we call Phi-Sobolev functional inequalities. Such inequalities...
Inspired by the recent results of C. Landim, G. Panizo and H.-T. Yau [LPY] on spectral gap and logarithmic Sobolev inequalities for unbounded conservative spin systems, we study uniform bounds in...
1°) Utilisation d'inégalités fonctionnelles de Bobkov pour l'établissement de principes de grandes déviations quasi-gaussiens. 2°) Etude de l'inégalité de Sobolev logarithmique en théorie de...
1°) Utilisation d'inégalités fonctionnelles de Bobkov pour l'établissement de principes de grandes déviations quasi-gaussiens. 2°) Etude de l'inégalité de Sobolev logarithmique en théorie de...
1°) Utilisation d'inégalités fonctionnelles de Bobkov pour l'établissement de principes de grandes déviations quasi-gaussiens. 2°) Etude de l'inégalité de Sobolev logarithmique en théorie de...
1°) Utilisation d'inégalités fonctionnelles de Bobkov pour l'établissement de principes de grandes déviations quasi-gaussiens. 2°) Etude de l'inégalité de Sobolev logarithmique en théorie de...
1°) Utilisation d'inégalités fonctionnelles de Bobkov pour l'établissement de principes de grandes déviations quasi-gaussiens. 2°) Etude de l'inégalité de Sobolev logarithmique en théorie de...
1°) Utilisation d'inégalités fonctionnelles de Bobkov pour l'établissement de principes de grandes déviations quasi-gaussiens. 2°) Etude de l'inégalité de Sobolev logarithmique en théorie de...
1°) Utilisation d'inégalités fonctionnelles de Bobkov pour l'établissement de principes de grandes déviations quasi-gaussiens. 2°) Etude de l'inégalité de Sobolev logarithmique en théorie de...
1°) Utilisation d'inégalités fonctionnelles de Bobkov pour l'établissement de principes de grandes déviations quasi-gaussiens. 2°) Etude de l'inégalité de Sobolev logarithmique en théorie de...
1°) Utilisation d'inégalités fonctionnelles de Bobkov pour l'établissement de principes de grandes déviations quasi-gaussiens. 2°) Etude de l'inégalité de Sobolev logarithmique en théorie de...
1°) Utilisation d'inégalités fonctionnelles de Bobkov pour l'établissement de principes de grandes déviations quasi-gaussiens. 2°) Etude de l'inégalité de Sobolev logarithmique en théorie de...
1°) Utilisation d'inégalités fonctionnelles de Bobkov pour l'établissement de principes de grandes déviations quasi-gaussiens. 2°) Etude de l'inégalité de Sobolev logarithmique en théorie de...
1°) Utilisation d'inégalités fonctionnelles de Bobkov pour l'établissement de principes de grandes déviations quasi-gaussiens. 2°) Etude de l'inégalité de Sobolev logarithmique en théorie de...
1°) Utilisation d'inégalités fonctionnelles de Bobkov pour l'établissement de principes de grandes déviations quasi-gaussiens. 2°) Etude de l'inégalité de Sobolev logarithmique en théorie de...
Gaussian maximum of entropy and reversed log-Sobolev inequality (2001)
The aim of this note is to connect a reversed form of the Gross logarithmic Sobolev inequality with the Gaussian maximum of Shannon's entropy power. There is thus a complete parallel with the...