2 papers
math.DS2020
On Coupling Lemma and Stochastic Properties with Unbounded Observables for 1-d Expanding Maps
Jianyu Chen, Hongkun Zhang, Yiwei Zhang
In this paper, we establish a coupling lemma for standard families in the setting of piecewise expanding interval maps with countably many branches. Our method merely requires that…
math.DS2018
Non-stationary Almost Sure Invariance Principle for Hyperbolic Systems with Singularities
Jianyu Chen, Hongkun Zhang, Yun Yang
We investigate a wide class of two-dimensional hyperbolic systems with singularities, and prove the almost sure invariance principle (ASIP) for the random process generated by sequ…