Work

Wasserstein convergence rates in the invariance principle for sequential dynamical systems

Year: 2024

Type: article

Abstract: In this paper, we consider the convergence rate with respect to the Wasserstein distance in the invariance principle for sequential dynamical systems. We utilize and modify the techniques previously employed for stationary sequences to address our non-stationary case. Under certain assumptions, we can apply our result to a class of dynamical systems, including sequential β n -transformations, piecewise uniformly expanding maps with additive noise in one-dimensional and multidimensional case, and so on.

Source: Nonlinearity

DOI: 10.1088/1361-6544/ad8c1d

Authors: Zhenxin Liu, Zhe Wang

Institution: Dalian University of Technology

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Dalian High-Level Talent Innovation Program, National Natural Science Foundation of China, Liaoning Revitalization Talents Program, National Key Research and Development Program of China