24 citations · 38 across the 9 of their papers we have counts for
9 papers
Mean dimension of general iterated function systems
Welington Cordeiro, Maria José Pacifico, Xuan Zhang
In this paper, we introduce and investigate the notions of Mean Dimension and Metric Mean Dimension for generalized iterated function systems (IFS). We establish basic properties o…
Robust Accelerated Primal-Dual Methods for Computing Saddle Points
Xuan Zhang, Necdet Serhat Aybat, Mert Gürbüzbalaban
We consider strongly-convex-strongly-concave saddle point problems assuming we have access to unbiased stochastic estimates of the gradients. We propose a stochastic accelerated pr…
A Poisson limit theorem for Gibbs-Markov maps
Xuan Zhang
We prove for Gibbs-Markov maps that the number of visits to a sequence of shrinking sets with bounded cylindrical lengths converges in distribution to a Poisson law. Applying to co…
Quenched and annealed equilibrium states for random Ruelle expanding maps and applications
Manuel Stadlbauer, Paulo Varandas, Xuan Zhang
In this paper we describe the spectral properties of semigroups of expanding maps acting on Polish spaces, considering both sequences of transfer operators along infinite compositi…
Fluctuations of ergodic sums on periodic orbits under specification
Manfred Denker, Samuel Senti, Xuan Zhang
We study the fluctuations of ergodic sums using global and local specifications on periodic points. We obtain Lindeberg-type central limit theorems in both situations. As an applic…
On the law of the iterated logarithm for continued fractions with sequentially restricted partial quotients
Manuel Stadlbauer, Xuan Zhang
We establish a law of the iterated logarithm (LIL) for the set of real numbers whose -th partial quotient is bigger than , where is a sequence such that $\sum 1/α_n…
On specification and measure expansiveness
Welington Cordeiro, Manfred Denker, Xuan Zhang
We relate the local specification and periodic shadowing properties. We also clarify the relation between local weak specification and local specification if the system is measure…
Note on limit distribution of normalized return times and escape rate
Xuan Zhang
In this note we discuss limit distribution of normalized return times for shrinking targets and draw a necessary and sufficient condition using sweep-out sequence in order for the…
The Lindeberg theorem for Gibbs-Markov dynamics
Manfred Denker, Samuel Senti, Xuan Zhang
A dynamical array consists of a family of functions and a family of initial times . For a dynamical syste…