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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Bibliographic Details
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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Summary: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.
ISSN:0951-7715
1361-6544
DOI:10.1088/1361-6544/ac3c2c