46 citations · 277 across the 43 of their papers we have counts for
47 papers
Energy growth for systems of coupled oscillators with partial damping
Dmitry Dolgopyat, Bassam Fayad, Leonid Koralov +1
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…
Limit theorems for low dimensional generalized transformations
Dmitry Dolgopyat, Changguang Dong, Adam Kanigowski +1
We consider generalized transformations such that the base map satisfies a multiple mixing local limit theorem and anticoncentration large deviation bounds and in the…
An error term in the Central Limit Theorem for sums of discrete random variables
Dmitry Dolgopyat, Kasun Fernando
We consider sums of independent identically distributed random variables whose distributions have atoms. Such distributions never admit an Edgeworth expansion of order bu…
Smooth zero entropy flows satisfying the classical central limit theorem
Dmitry Dolgopyat, Bassam Fayad, Adam Kanigowski
We construct conservative analytic flows of zero metric entropy which satisfy the classical central limit theorem.
Generalized Edgeworth expansions for integer-valued additive functionals of uniformly elliptic Markov chains
Dmitry Dolgopyat, Yeor Hafouta
We obtain asymptotic expansions for probabilities $\bbP(S_N=k)$ of partial sums of uniformly bounded integer-valued functionals $\DS S_N=\sum_{n=1}^N f_n(X_n)$ of uniformly ellipti…
A Berry-Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains
Dmitry Dolgopyat, Yeor Hafouta
We prove a Berry-Esseen theorem and Edgeworth expansions for partial sums of the form , where is a uniformly elliptic inhomogeneous Ma…