Non-perturbative approach to random walk in markovian environment (2009)
Dolgopyat, Dmitry; University Of Maryland; Dmitry@math.umd.edu, Liverani, Carlangelo; Universito Of Rome 2; Liverani@mat.uniroma2.it
We prove the CLT for a random walk in a dynamical environment where the states of the environment at different sites are independent Markov chains.
Motion in a Random Force Field (2009)
Dolgopyat, Dmitry, Koralov, Leonid
We consider the motion of a particle in a random isotropic force field. Assuming that the force field arises from a Poisson field in $\mathbb{R}^d$, $d \geq 4$, and the initial velocity of the...
Averaging of Hamiltonian flows with an ergodic component (2009)
Dolgopyat, Dmitry, Koralov, Leonid
We consider a process on $\mathbb{T}^2$, which consists of fast motion along the stream lines of an incompressible periodic vector field perturbed by white noise. It gives rise to a process on the...
Non-perturbative approach to random walk in markovian environment (2008)
Dolgopyat, Dmitry, Liverani, Carlangelo
We prove an averaged CLT for a random walk in a dynamical environment where the states of the environment at different sites are independent Markov chains.
Random Walk in deterministically changing environment (2008)
Dolgopyat, Dmitry, Liverani, Carlangelo
We consider a random walk with transition probabilities weakly dependent on an environment with a deterministic, but strongly chaotic, evolution. We prove that for almost all initial conditions of...
RANDOM WALK IN MARKOVIAN ENVIROMENT (2008)
Dmitry Dolgopyat, Gerhard Keller, Carlangelo Liverani
Abstract. We prove a quenched central limit theorem for random walks with bounded increments in a randomly evolving environment on Z d. We assume that the transition probabilities of the walk depend...
WALK IN MARKOVIAN ENVIRONMENT. (2008)
Dmitry Dolgopyat, Carlangelo Liverani, Dmitry Dolgopyat, Carlangelo Liverani
Abstract. We prove an averaged CLT for a random walk in a dynamical environment where the states of the environment at different sites are independent Markov chains. 1.
Supported by the Austrian Federal Ministry of Education, Science and Culture (2008)
Dmitry Dolgopyat, Domokos Szász, Tamás Varjú
LORENTZPROCESSES
open and dense set of accessible diffeomorphisms. (2007)
Dmitry Dolgopyat, Amie Wilkinson
We prove that in the space of all C
On simultaneous linearization of diffeomorphisms of the sphere (2007)
Dolgopyat, Dmitry, Krikorian, Raphaël
Let $R_1, R_2,\ldots,R_m$ be rotations generating ${\mathbb{SO}}_{d+1}$, $d\geq 2$, and let $f_1, f_2,\ldots,f_m$ be small smooth perturbations of them. We show that $\{f_\alpha\}$ can be linearized...
Random walk in Markovian environment (2007)
Dolgopyat, Dmitry, Keller, Gerhard, Liverani, Carlangelo
We prove a quenched central limit theorem for random walks with bounded increments in a randomly evolving environment on $\mathbb{Z}^d$. We assume that the transition probabilities of the walk depend...
Sample path properties of the stochastic flows (2004)
Dolgopyat, Dmitry, Kaloshin, Vadim, Koralov, Leonid
We consider a stochastic flow driven by a finite-dimensional Brownian motion. We show that almost every realization of such a flow exhibits strong statistical properties such as the exponential...
Sample path properties of the stochastic flows (2004)
Dolgopyat, Dmitry, Kaloshin, Vadim, Koralov, Leonid
We consider a stochastic flow driven by a finite-dimensional Brownian motion. We show that almost every realization of such a flow exhibits strong statistical properties such as the exponential...
Sample path properties of random transformations (2002)
ICM2002 Satellite Conference: New Directions in Dynamical Systems Abstracts (August 2002 Kyoto)
Sample path properties of random transformations (2002)
ICM2002 Satellite Conference: New Directions in Dynamical Systems Abstracts (August 2002 Kyoto)
Hausdorff dimension in stochastic dispersion (2002)
Dolgopyat, Dmitry, Kaloshin, Vadim, Koralov, Leonid
We consider the evolution of a connected set in Euclidean space carried by a periodic incompressible stochastic flow. While for almost every realization of the random flow at time t most of the...
A limit shape theorem for periodic stochastic dispersion (2002)
Dolgopyat, Dmitry, Kaloshin, Vadim, Koralov, Leonid
We consider the evolution of a connected set on the plane carried by a periodic incompressible stochastic flow. While for almost every realization of the random flow at time t most of the particles...
Sample path properties of the stochastic flows (2001)
Dolgopyat, Dmitry, Kaloshin, Vadim, Koralov, Leonid
We consider a stochastic flow driven by a finite dimensional Brownian motion. We show that almost every realization of such a flow exhibits strong statistical properties such as the exponential...
Motion in a random force field (0000)
We consider the motion of a particle in a random isotropic force field. Assuming that the force field arises from a Poisson field in , d =3D 4, and the initial velocity of the particle is...
Motion in a random force field
We consider the motion of a particle in a random isotropic force field. Assuming that the force field arises from a Poisson field in , d =3D 4, and the initial velocity of the particle is...