Zobrazeno 1 - 10
of 196
pro vyhledávání: '"Dolgopyat, Dmitry"'
Autor:
DeWitt, Jonathan, Dolgopyat, Dmitry
We show that the Bernoulli random dynamical system associated to a expanding on average tuple of volume preserving diffeomorphisms of a closed surface is exponentially mixing.
Comment: 102 pages
Comment: 102 pages
Externí odkaz:
http://arxiv.org/abs/2410.08445
Autor:
Dolgopyat, Dmitry, Hafouta, Yeor
We prove local central limit theorems for partial sums of the form \newline $\,S_n=\sum_{j=0}^{n-1}f_j\circ T_{j-1}\circ\cdots\circ T_1\circ T_0$ where $f_j$ are uniformly H\"older functions and $T_j$ are expanding maps. Using a symbolic representati
Externí odkaz:
http://arxiv.org/abs/2407.08690
Autor:
Czudek, Klaudiusz, Dolgopyat, Dmitry
We prove the Central Limit Theorem and superpolynomial mixing for environment viewed for the particle process in quasi periodic Diophantine random environment. The main ingredients are smoothness estimates for the solution of the Poisson equation and
Externí odkaz:
http://arxiv.org/abs/2404.11700
Autor:
Dolgopyat, Dmitry, Liu, Sixu
We study heavy tailed random variables obtained by sampling an observable with a power singularity along an orbit of an expanding map on the circle. In the regime where the observables have infinite variance, we show that the set of limit points of t
Externí odkaz:
http://arxiv.org/abs/2312.15378
We consider two interacting particles on the circle. The particles are subject to stochastic forcing, which is modeled by white noise. In addition, one of the particles is subject to friction, which models energy dissipation due to the interaction wi
Externí odkaz:
http://arxiv.org/abs/2312.01207
We consider generalized $(T, T^{-1})$ transformations such that the base map satisfies a multiple mixing local limit theorem and anticoncentration large deviation bounds and in the fiber we have $\mathbb{R}^d$ actions with $d=1$ or $2$ which are expo
Externí odkaz:
http://arxiv.org/abs/2305.04246
Autor:
Dolgopyat, Dmitry, Fernando, Kasun
We consider sums of independent identically distributed random variables whose distributions have $d+1$ atoms. Such distributions never admit an Edgeworth expansion of order $d$ but we show that for almost all parameters the Edgeworth expansion of or
Externí odkaz:
http://arxiv.org/abs/2303.10235
We construct conservative analytic flows of zero metric entropy which satisfy the classical central limit theorem.
Externí odkaz:
http://arxiv.org/abs/2210.10121
Autor:
Dolgopyat, Dmitry, Hafouta, Yeor
We obtain asymptotic expansions for probabilities $\mathbb{P}(S_N=k)$ of partial sums of uniformly bounded integer-valued functionals $S_N=\sum_{n=1}^N f_n(X_n)$ of uniformly elliptic inhomogeneous Markov chains. The expansions involve products of po
Externí odkaz:
http://arxiv.org/abs/2203.15907