Decay of correlations for weakly expanding dynamical systems with Dini potentials under optimal quasi-gap condition

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.

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Published in:Nonlinearity 2022-02, Vol.35 (2), p.916-953
Main Authors: Jiang, Yunping, Ye, Yuan-Ling
Format: Article
Language:English
Subjects:
decay of correlations
Dini potential
Ruelle operator theorem
weakly contractive iterated function system
weakly expanding dynamical system
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description 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.
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subjects decay of correlations
Dini potential
Ruelle operator theorem
weakly contractive iterated function system
weakly expanding dynamical system
title Decay of correlations for weakly expanding dynamical systems with Dini potentials under optimal quasi-gap condition
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