Analysis of Correlation Bounds for Uniformly Expanding Maps on [0, 1]-Reference-Cited by-同舟云学术

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Analysis of Correlation Bounds for Uniformly Expanding Maps on [0, 1]

Published:2023-11-23 Issue:12 Volume:12 Page:1072
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Abdelkader Mohamed¹^ORCID

Affiliation:

1. Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Abstract

In this paper, we provide the decay of correlations for random dynamical systems. Precisely, we consider the uniformly C2 piecewise expanding maps defined on the unit interval satisfying λ(Tω′)=inf|Tω′|>2. As a principal tool of these studies, we use a coupling method for analyzing the coupling time of observables with bounded variation.

Funder

King Saud University

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/12/1072/pdf

Reference21 articles.

1. Majumdar, M. (2010). Probability and Partial Differential Equations in Modern Applied Mathematics, Springer Science & Business Media.

2. Chaos in economic models with exogenous shocks;Akhmet;J. Econ. Behav. Organ.,2014

3. Review Article: Dynamical Systems, Algebraic Topology, and the Climate Sciences;Ghil;Nonlinear Process. Geophys.,2023

4. Poincaré, celestial mechanics, dynamical-systems theory and ‘chaos’;Holmes;Phys. Rep.,1990

5. A model of gene expression based on random dynamical systems reveals modularity properties of gene regulatory networks;Antoneli;Math. Biosci.,2016

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