On barycentric subdivision, with simulations (2010)
Diaconis, Persi, Miclo, Laurent
Consider the barycentric subdivision which cuts a given triangle along its medians to produce six new triangles. Uniformly choosing one of them and iterating this procedure gives rise to a Markov...
On the cut-off phenomenon for the transitivity of randomly generated subgroups (2009)
Galligo, André, Miclo, Laurent
Consider $K\geq2$ independent copies of the random walk on the symmetric group $S_N$ starting from the identity and generated by the products of either independent uniform transpositions or...
On the cut-off phenomenon for the transitivity of randomly generated subgroups (2009)
Galligo, André, Miclo, Laurent
Consider $K\geq2$ independent copies of the random walk on the symmetric group $S_N$ starting from the identity and generated by the products of either independent uniform transpositions or...
On characterizations of Metropolis type algorithms in continuous time (2009)
Diaconis, Persi, Miclo, Laurent
In the continuous time framework, a new definition is proposed for the Metropolis algorithm $(\wi X_t)_{t\geq0}$ associated to an a priori given exploratory Markov process $( X_t)_{t\geq0}$ and to a...
On barycentric subdivision, with simulations (2009)
Diaconis, Persi, Miclo, Laurent
Consider the barycentric subdivision which cuts a given triangle along its medians to produce six new triangles. Uniformly choosing one of them and iterating this procedure gives rise to a Markov...
On characterizations of Metropolis type algorithms in continuous time (2009)
Diaconis, Persi, Miclo, Laurent
In the continuous time framework, a new definition is proposed for the Metropolis algorithm $(\wi X_t)_{t\geq0}$ associated to an a priori given exploratory Markov process $( X_t)_{t\geq0}$ and to a...
On barycentric subdivision, with simulations (2009)
Diaconis, Persi, Miclo, Laurent
Consider the barycentric subdivision which cuts a given triangle along its medians to produce six new triangles. Uniformly choosing one of them and iterating this procedure gives rise to a Markov...
On characterizations of Metropolis type algorithms in continuous time (2009)
Diaconis, Persi, Miclo, Laurent
In the continuous time framework, a new definition is proposed for the Metropolis algorithm $(\wi X_t)_{t\geq0}$ associated to an a priori given exploratory Markov process $( X_t)_{t\geq0}$ and to a...
On barycentric subdivision (2009)
Diaconis, Persi, Miclo, Laurent
Consider the barycentric subdivision which cuts a given triangle along its medians to produce six new triangles. Uniformly choosing one of them and iterating this procedure gives rise to a Markov...
On characterizations of Metropolis type algorithms in continuous time (2009)
Diaconis, Persi, Miclo, Laurent
In the continuous time framework, a new definition is proposed for the Metropolis algorithm $(\wi X_t)_{t\geq0}$ associated to an a priori given exploratory Markov process $( X_t)_{t\geq0}$ and to a...
On barycentric subdivision (2009)
Diaconis, Persi, Miclo, Laurent
Consider the barycentric subdivision which cuts a given triangle along its medians to produce six new triangles. Uniformly choosing one of them and iterating this procedure gives rise to a Markov...
On the cut-off phenomenon for the transitivity of randomly generated subgroups (2009)
Galligo, André, Miclo, Laurent
Consider $K\geq2$ independent copies of the random walk on the symmetric group $S_N$ starting from the identity and generated by the products of either independent uniform transpositions or...
On the cut-off phenomenon for the transitivity of randomly generated subgroups (2009)
Galligo, André, Miclo, Laurent
Consider $K\geq2$ independent copies of the random walk on the symmetric group $S_N$ starting from the identity and generated by the products of either independent uniform transpositions or...
On the cut-off phenomenon for the transitivity of randomly generated subgroups (2009)
Galligo, André, Miclo, Laurent
Consider $K\geq2$ independent copies of the random walk on the symmetric group $S_N$ starting from the identity and generated by the products of either independent uniform transpositions or...
On characterizations of Metropolis type algorithms in continuous time (2009)
Diaconis, Persi, Miclo, Laurent
In the continuous time framework, a new definition is proposed for the Metropolis algorithm $(\wi X_t)_{t\geq0}$ associated to an a priori given exploratory Markov process $( X_t)_{t\geq0}$ and to a...
On barycentric subdivision (2009)
Diaconis, Persi, Miclo, Laurent
Consider the barycentric subdivision which cuts a given triangle along its medians to produce six new triangles. Uniformly choosing one of them and iterating this procedure gives rise to a Markov...
On absorbtion times and Dirichlet eigenvalues (2008)
This paper gives a stochastic representation in spectral terms for the absorbtion time $T$ of a finite Markov chain which is irreducible and reversible outside the absorbing point. This yields...
On absorbtion times and Dirichlet eigenvalues (2008)
This paper gives a stochastic representation in spectral terms for the absorbtion time $T$ of a finite Markov chain which is irreducible and reversible outside the absorbing point. This yields...
The convergence to equilibrium of neutral genetic models (2008)
Del Moral, Pierre, Miclo, Laurent, Patras, Frédéric, Rubenthaler, Sylvain
This article is concerned with the long time behavior of neutral genetic population models, with fixed population size. We design an explicit, finite, exact, genealogical tree based representation of...
The convergence to equilibrium of neutral genetic models (2008)
Del Moral, Pierre, Miclo, Laurent, Patras, Frédéric, Rubenthaler, Sylvain
This article is concerned with the long time behavior of neutral genetic population models, with fixed population size. We design an explicit, finite, exact, genealogical tree based representation of...
The convergence to equilibrium of neutral genetic models (2008)
Del Moral, Pierre, Miclo, Laurent, Patras, Frédéric, Rubenthaler, Sylvain
This article is concerned with the long time behavior of neutral genetic population models, with fixed population size. We design an explicit, finite, exact, genealogical tree based representation of...
The convergence to equilibrium of neutral genetic models (2008)
Del Moral, Pierre, Miclo, Laurent, Patras, Frédéric, Rubenthaler, Sylvain
This article is concerned with the long time behavior of neutral genetic population models, with fixed population size. We design an explicit, finite, exact, genealogical tree based representation of...
The convergence to equilibrium of neutral genetic models (2008)
Del Moral, Pierre, Miclo, Laurent, Patras, Frédéric, Rubenthaler, Sylvain
This article is concerned with the long time behavior of neutral genetic population models, with fixed population size. We design an explicit, finite, exact, genealogical tree based representation of...
The convergence to equilibrium of neutral genetic models (2008)
Del Moral, Pierre, Miclo, Laurent, Patras, Frédéric, Rubenthaler, Sylvain
This article is concerned with the long time behavior of neutral genetic population models, with fixed population size. We design an explicit, finite, exact, genealogical tree based representation of...
The convergence to equilibrium of neutral genetic models (2008)
Del Moral, Pierre, Miclo, Laurent, Patras, Frédéric, Rubenthaler, Sylvain
This article is concerned with the long time behavior of neutral genetic population models, with fixed population size. We design an explicit, finite, exact, genealogical tree based representation of...
The convergence to equilibrium of neutral genetic models (2008)
Del Moral, Pierre, Miclo, Laurent, Patras, Frédéric, Rubenthaler, Sylvain
This article is concerned with the long time behavior of neutral genetic population models, with fixed population size. We design an explicit, finite, exact, genealogical tree based representation of...
On absorbtion times and Dirichlet eigenvalues (2008)
This paper gives a stochastic representation in spectral terms for the absorbtion time $T$ of a finite Markov chain which is irreducible and reversible outside the absorbing point. This yields...
On absorbtion times and Dirichlet eigenvalues (2008)
This paper gives a stochastic representation in spectral terms for the absorbtion time $T$ of a finite Markov chain which is irreducible and reversible outside the absorbing point. This yields...
The convergence to equilibrium of neutral genetic models (2008)
Del Moral, Pierre, Miclo, Laurent, Patras, Frédéric, Rubenthaler, Sylvain
This article is concerned with the long time behavior of neutral genetic population models, with fixed population size. We design an explicit, finite, exact, genealogical tree based representation of...
On absorbtion times and Dirichlet eigenvalues (2008)
This paper gives a stochastic representation in spectral terms for the absorbtion time $T$ of a finite Markov chain which is irreducible and reversible outside the absorbing point. This yields...
The convergence to equilibrium of neutral genetic models (2008)
Del Moral, Pierre, Miclo, Laurent, Patras, Frédéric, Rubenthaler, Sylvain
This article is concerned with the long time behavior of neutral genetic population models, with fixed population size. We design an explicit, finite, exact, genealogical tree based representation of...
On eigenfunctions of Markov processes on trees (2007)
We begin by studying the eigenvectors associated to irreducible finite birth and death processes, showing that the $i^{\mathrm{th}}$ nontrivial eigenvector $\varphi_i$ admits a succession of $i$...
On eigenfunctions of Markov processes on trees (2007)
We begin by studying the eigenvectors associated to irreducible finite birth and death processes, showing that the $i^{\mathrm{th}}$ nontrivial eigenvector $\varphi_i$ admits a succession of $i$...
The convergence to equilibrium of neutral genetic models (2007)
Del Moral, Pierre, Miclo, Laurent, Patras, Frédéric, Rubenthaler, Sylvain
This article is concerned with the long time behavior of neutral genetic population models, with fixed population size. We design an explicit, finite, exact, genealogical tree based representation of...
The convergence to equilibrium of neutral genetic models (2007)
Del Moral, Pierre, Miclo, Laurent, Patras, Frédéric, Rubenthaler, Sylvain
This article is concerned with the long time behavior of neutral genetic population models, with fixed population size. We design an explicit, finite, exact, genealogical tree based representation of...
Modified logarithmic Sobolev inequalities in null curvature (2007)
Gentil, Ivan, Guillin, Arnaud, Miclo, Laurent
We present a new logarithmic Sobolev inequality adapted to a log-concave measure on $\dR$ between the exponential and the Gaussian measure.
The convergence to equilibrium of neutral genetic models (2007)
Del Moral, Pierre, Miclo, Laurent, Patras, Frédéric, Rubenthaler, Sylvain
This article is concerned with the long time behavior of neutral genetic population models, with fixed population size. We design an explicit, finite, exact, genealogical tree based representation of...
On eigenfunctions of Markov processes on trees (2007)
We begin by studying the eigenvectors associated to irreducible finite birth and death processes, showing that the $i^{\mathrm{th}}$ nontrivial eigenvector $\varphi_i$ admits a succession of $i$...
On times to quasi-stationarity for birth and death processes (2007)
Diaconis, Persi, Miclo, Laurent
The purpose of this paper is to present a probabilistic proof of the well-known result stating that the time needed by a continuous-time finite birth and death process for going from the left end to...
On times to quasi-stationarity for birth and death processes (2007)
Diaconis, Persi, Miclo, Laurent
The purpose of this paper is to present a probabilistic proof of the well-known result stating that the time needed by a continuous-time finite birth and death process for going from the left end to...
On eigenfunctions of Markov processes on trees (2007)
We begin by studying the eigenvectors associated to irreducible finite birth and death processes, showing that the $i^{\mathrm{th}}$ nontrivial eigenvector $\varphi_i$ admits a succession of $i$...
The convergence to equilibrium of neutral genetic models (2007)
Del Moral, Pierre, Miclo, Laurent, Patras, Frédéric, Rubenthaler, Sylvain
This article is concerned with the long time behavior of neutral genetic population models, with fixed population size. We design an explicit, finite, exact, genealogical tree based representation of...
Modified logarithmic Sobolev inequalities in null curvature (2007)
Gentil, Ivan, Guillin, Arnaud, Miclo, Laurent
We present a new logarithmic Sobolev inequality adapted to a log-concave measure on $\dR$ between the exponential and the Gaussian measure.
On eigenfunctions of Markov processes on trees (2007)
We begin by studying the eigenvectors associated to irreducible finite birth and death processes, showing that the $i^{\mathrm{th}}$ nontrivial eigenvector $\varphi_i$ admits a succession of $i$...
Modified logarithmic Sobolev inequalities in null curvature (2007)
Gentil, Ivan, Guillin, Arnaud, Miclo, Laurent
We present a new logarithmic Sobolev inequality adapted to a log-concave measure on $\dR$ between the exponential and the Gaussian measure.
On times to quasi-stationarity for birth and death processes (2007)
Diaconis, Persi, Miclo, Laurent
The purpose of this paper is to present a probabilistic proof of the well-known result stating that the time needed by a continuous-time finite birth and death process for going from the left end to...
The convergence to equilibrium of neutral genetic models (2007)
Del Moral, Pierre, Miclo, Laurent, Patras, Frédéric, Rubenthaler, Sylvain
This article is concerned with the long time behavior of neutral genetic population models, with fixed population size. We design an explicit, finite, exact, genealogical tree based representation of...
Modified logarithmic Sobolev inequalities in null curvature (2007)
Gentil, Ivan, Guillin, Arnaud, Miclo, Laurent
We present a new logarithmic Sobolev inequality adapted to a log-concave measure on $\dR$ between the exponential and the Gaussian measure.
On times to quasi-stationarity for birth and death processes (2007)
Diaconis, Persi, Miclo, Laurent
The purpose of this paper is to present a probabilistic proof of the well-known result stating that the time needed by a continuous-time finite birth and death process for going from the left end to...
The convergence to equilibrium of neutral genetic models (2007)
Del Moral, Pierre, Miclo, Laurent, Patras, Frédéric, Rubenthaler, Sylvain
This article is concerned with the long time behavior of neutral genetic population models, with fixed population size. We design an explicit, finite, exact, genealogical tree based representation of...
Modified logarithmic Sobolev inequalities in null curvature (2007)
Gentil, Ivan, Guillin, Arnaud, Miclo, Laurent
We present a new logarithmic Sobolev inequality adapted to a log-concave measure on $\dR$ between the exponential and the Gaussian measure.
On times to quasi-stationarity for birth and death processes (2007)
Diaconis, Persi, Miclo, Laurent
The purpose of this paper is to present a probabilistic proof of the well-known result stating that the time needed by a continuous-time finite birth and death process for going from the left end to...
The convergence to equilibrium of neutral genetic models (2007)
Del Moral, Pierre, Miclo, Laurent, Patras, Frédéric, Rubenthaler, Sylvain
This article is concerned with the long time behavior of neutral genetic population models, with fixed population size. We design an explicit, finite, exact, genealogical tree based representation of...
On présente une formule explicite pour la constante de Sobolev logarithmique correspondant à des diffusions réelles ou à des processus entiers de vie et de mort, sous l'hypothèse que certaines...
On présente une formule explicite pour la constante de Sobolev logarithmique correspondant à des diffusions réelles ou à des processus entiers de vie et de mort, sous l'hypothèse que certaines...
Modified logarithmic Sobolev inequalities in null curvature (2006)
Gentil, Ivan, Guillin, Arnaud, Miclo, Laurent
We present a new logarithmic Sobolev inequality adapted to a log-concave measure on $\dR$ between the exponential and the Gaussian measure.
Modified logarithmic Sobolev inequalities in null curvature (2006)
Gentil, Ivan, Guillin, Arnaud, Miclo, Laurent
We present a new logarithmic Sobolev inequality adapted to a log-concave measure on $\dR$ between the exponential and the Gaussian measure.
On présente une formule explicite pour la constante de Sobolev logarithmique correspondant à des diffusions réelles ou à des processus entiers de vie et de mort, sous l'hypothèse que certaines...
On présente une formule explicite pour la constante de Sobolev logarithmique correspondant à des diffusions réelles ou à des processus entiers de vie et de mort, sous l'hypothèse que certaines...
On présente une formule explicite pour la constante de Sobolev logarithmique correspondant à des diffusions réelles ou à des processus entiers de vie et de mort, sous l'hypothèse que certaines...
On présente une formule explicite pour la constante de Sobolev logarithmique correspondant à des diffusions réelles ou à des processus entiers de vie et de mort, sous l'hypothèse que certaines...
On présente une formule explicite pour la constante de Sobolev logarithmique correspondant à des diffusions réelles ou à des processus entiers de vie et de mort, sous l'hypothèse que certaines...
Modified logarithmic Sobolev inequalities in null curvature (2005)
Gentil, Ivan, Guillin, Arnaud, Miclo, Laurent
We present a logarithmic Sobolev inequality adapted to a log-concave measure. Assume that $\Phi$ is a symmetric convex function on $\dR$ satisfying $(1+\e)\Phi(x)\leq {x}\Phi'(x)\leq(2-\e)\Phi(x)$...
On montre que pour calculer les constantes optimales associées à diverses inégalités fonctionnelles en dimension 1, il suffit de considérer des fonctions monotones. On s'intéresse aux contextes...
Classiquement, des inégalités de Hardy permettent d'estimer le trou spectral d'une diffusion réelle à un facteur 4 près. L'objectif de ce papier est d'essayer de mieux appréhender cette...
Modified logarithmic Sobolev inequalities and transportation inequalities (2005)
Gentil, Ivan, Guillin, Arnaud, Miclo, Laurent
We present a new class of modified logarithmic Sobolev inequality, interpolating between Poincaré and logarithmic Sobolev inequalities, suitable for measures of the type $\exp(-|x|^\al)$ or...
On montre que pour calculer les constantes optimales associées à diverses inégalités fonctionnelles en dimension 1, il suffit de considérer des fonctions monotones. On s'intéresse aux contextes...
Classiquement, des inégalités de Hardy permettent d'estimer le trou spectral d'une diffusion réelle à un facteur 4 près. L'objectif de ce papier est d'essayer de mieux appréhender cette...
Modified logarithmic Sobolev inequalities and transportation inequalities (2005)
Gentil, Ivan, Guillin, Arnaud, Miclo, Laurent
We present a new class of modified logarithmic Sobolev inequality, interpolating between Poincaré and logarithmic Sobolev inequalities, suitable for measures of the type $\exp(-|x|^\al)$ or...
On montre que pour calculer les constantes optimales associées à diverses inégalités fonctionnelles en dimension 1, il suffit de considérer des fonctions monotones. On s'intéresse aux contextes...
Classiquement, des inégalités de Hardy permettent d'estimer le trou spectral d'une diffusion réelle à un facteur 4 près. L'objectif de ce papier est d'essayer de mieux appréhender cette...
Modified logarithmic Sobolev inequalities and transportation inequalities (2005)
Gentil, Ivan, Guillin, Arnaud, Miclo, Laurent
We present a new class of modified logarithmic Sobolev inequality, interpolating between Poincaré and logarithmic Sobolev inequalities, suitable for measures of the type $\exp(-|x|^\al)$ or...
On montre que pour calculer les constantes optimales associées à diverses inégalités fonctionnelles en dimension 1, il suffit de considérer des fonctions monotones. On s'intéresse aux contextes...
Modified logarithmic Sobolev inequalities and transportation inequalities (2005)
Gentil, Ivan, Guillin, Arnaud, Miclo, Laurent
We present a new class of modified logarithmic Sobolev inequality, interpolating between Poincaré and logarithmic Sobolev inequalities, suitable for measures of the type $\exp(-|x|^\al)$ or...
Classiquement, des inégalités de Hardy permettent d'estimer le trou spectral d'une diffusion réelle à un facteur 4 près. L'objectif de ce papier est d'essayer de mieux appréhender cette...
On montre que pour calculer les constantes optimales associées à diverses inégalités fonctionnelles en dimension 1, il suffit de considérer des fonctions monotones. On s'intéresse aux contextes...
Modified logarithmic Sobolev inequalities and transportation inequalities (2005)
Gentil, Ivan, Guillin, Arnaud, Miclo, Laurent
We present a new class of modified logarithmic Sobolev inequality, interpolating between Poincaré and logarithmic Sobolev inequalities, suitable for measures of the type $\exp(-|x|^\al)$ or...
Classiquement, des inégalités de Hardy permettent d'estimer le trou spectral d'une diffusion réelle à un facteur 4 près. L'objectif de ce papier est d'essayer de mieux appréhender cette...
On montre que pour calculer les constantes optimales associées à diverses inégalités fonctionnelles en dimension 1, il suffit de considérer des fonctions monotones. On s'intéresse aux contextes...
Modified logarithmic Sobolev inequalities and transportation inequalities (2005)
Gentil, Ivan, Guillin, Arnaud, Miclo, Laurent
We present a new class of modified logarithmic Sobolev inequality, interpolating between Poincaré and logarithmic Sobolev inequalities, suitable for measures of the type $\exp(-|x|^\al)$ or...
Classiquement, des inégalités de Hardy permettent d'estimer le trou spectral d'une diffusion réelle à un facteur 4 près. L'objectif de ce papier est d'essayer de mieux appréhender cette...
On montre que pour calculer les constantes optimales associées à diverses inégalités fonctionnelles en dimension 1, il suffit de considérer des fonctions monotones. On s'intéresse aux contextes...
Modified logarithmic Sobolev inequalities and transportation inequalities (2005)
Gentil, Ivan, Guillin, Arnaud, Miclo, Laurent
We present a new class of modified logarithmic Sobolev inequality, interpolating between Poincaré and logarithmic Sobolev inequalities, suitable for measures of the type $\exp(-|x|^\al)$ or...
Classiquement, des inégalités de Hardy permettent d'estimer le trou spectral d'une diffusion réelle à un facteur 4 près. L'objectif de ce papier est d'essayer de mieux appréhender cette...
Modified logarithmic Sobolev inequalities and transportation inequalities (2004)
Gentil, Ivan, Guillin, Arnaud, Miclo, Laurent
We present a class of modified logarithmic Sobolev inequality, interpolating between Poincar\'e and logarithmic Sobolev inequalities, suitable for measures of the type $\exp(-|x|^\al)$ or more...
Del Moral, Pierre, Miclo, Laurent
Recently we have introduced Moran type interacting particle systems in order to numerically compute normalized continuous time Feynman-Kac formulae. These schemes can also be seen as approximating...
Del Moral, Pierre, Miclo, Laurent
Recently we have introduced Moran type interacting particle systems in order to numerically compute normalized continuous time Feynman-Kac formulae. These schemes can also be seen as approximating...
Del Moral, Pierre, Miclo, Laurent
Recently we have introduced Moran type interacting particle systems in order to numerically compute normalized continuous time Feynman-Kac formulae. These schemes can also be seen as approximating...
Del Moral, Pierre, Miclo, Laurent
Recently we have introduced Moran type interacting particle systems in order to numerically compute normalized continuous time Feynman-Kac formulae. These schemes can also be seen as approximating...
Del Moral, Pierre, Miclo, Laurent
Recently we have introduced Moran type interacting particle systems in order to numerically compute normalized continuous time Feynman-Kac formulae. These schemes can also be seen as approximating...
Del Moral, Pierre, Miclo, Laurent
Recently we have introduced Moran type interacting particle systems in order to numerically compute normalized continuous time Feynman-Kac formulae. These schemes can also be seen as approximating...
Del Moral, Pierre, Miclo, Laurent
Recently we have introduced Moran type interacting particle systems in order to numerically compute normalized continuous time Feynman-Kac formulae. These schemes can also be seen as approximating...
Sur les problèmes de sortie discrets inhomogènes (1996)
Let $(X^{(t)})_{t \geq 0}$ be a family of inhomogeneous Markov processes on a finite set M, whose jump intensities at the time $s \geq 0$ are given by $\exp(-\beta_s^{(t)} V(x, y))q(x, y)$ for all $x...