Exceptional sets for average conformal dynamical systems

Congcong Qu and Juan Wang

Chaos, Solitons & Fractals, 2022, vol. 161, issue C

Abstract: Let f : M → M be a C1+α local diffeomorphism/diffeomorphism of a compact Riemannian manifold M and μ be an expanding/hyperbolic ergodic f-invariant Borel probability measure on M. Assume f is average conformal expanding/hyperbolic on the support set W of μ and W is locally maximal. For any subset A ⊂ W with small entropy or dimension, we investigate the topological entropy and Hausdorff dimensions of the A-exceptional set and the limit A-exceptional set.

Keywords: Hausdorff dimension; Topological entropy; Exceptional sets; Average conformal dynamical systems (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:161:y:2022:i:c:s0960077922005616

DOI: 10.1016/j.chaos.2022.112351

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