Decay of Correlations for Weakly Expanding Dynamical Systems with Dini Potentials under Optimal Quasi-Gap Condition

Authors

Yunping Jiang, CUNY Queens CollegeFollow
Yuan-Ling Ye, South China Normal University

Document Type

Article

Publication Date

12-2021

Abstract

We find an optimal quasi-gap condition for a weakly expanding dynamical system associated with Dini potential. Under this optimal quasi-gap condition, we prove the Ruelle operator theorem and further the decay of the correlations for any weakly expanding dynamical systems with Dini potentials.

Comments

This is the accepted manuscript of an article published as: Jiang, Yunping and Yuan-Ling Ye, "Decay of correlations for weakly expanding dynamical systems with Dini potentials under optimal quasi-gap condition." Nonlinearity, vol. 35, p. 916, 2021. https://doi.org/10.1088/1361-6544/ac3c2c