Decay of correlations for weakly expanding dynamical systems with Dini potentials under optimal quasi-gap condition. (22nd December 2021)

• Record Type: Journal Article
• Authors: Jiang, Yunping; Ye, Yuan-Ling
• Is Part Of: Nonlinearity. Volume 35:Number 2(2022)
• Page Start: 916
• Page End: 953
• Publication Date: 2021-12-22
• Subjects: weakly expanding dynamical system -- weakly contractive iterated function system -- Dini potential -- Ruelle operator theorem -- decay of correlations; primary 37C30 -- secondary 37D25 -- 37D35; Nonlinear theories -- Periodicals; Mathematical analysis -- Periodicals; Mathematical analysis; Nonlinear theories; Periodicals; 515
• DOI: 10.1088/1361-6544/ac3c2c
• Languages: English
• ISSNs: 0951-7715

Abstract

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.