3 papers
math.PR2025
Asymptotic stability and mean ergodicity of Feller processes on Polish spaces
Ziyu Liu, Jiehao Wan
This article establishes several necessary and sufficient criteria on asymptotic stability and mean ergodicity in various types of topologies for Feller processes taking values in…
math.DS2025
A multifractal analysis for escaping trajectories on free groups
Ziyu Liu
We consider a free group extension of a subshift of finite type , and consider three sets of points in to which the corresponding trajectories on the free…
math.PR2025
Notes on eventual continuity and ergodicity for SPDEs
Ziyu Liu
These notes present an alternative approach to the asymptotic stability of stochastic partial differential equations driven by multiplicative noise, applicable to a wide range of d…