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Exceptional sets for average conformal dynamical systems

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  • Qu, Congcong
  • Wang, Juan

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.

Suggested Citation

  • Qu, Congcong & Wang, Juan, 2022. "Exceptional sets for average conformal dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    • Handle: RePEc:eee:chsofr:v:161:y:2022:i:c:s0960077922005616
    DOI: 10.1016/j.chaos.2022.112351
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