DOI QR코드

DOI QR Code

HISTORIC BEHAVIOR FOR FLOWS WITH THE GLUING ORBIT PROPERTY

  • 투고 : 2021.04.10
  • 심사 : 2021.12.06
  • 발행 : 2022.03.01

초록

We consider the set of points with historic behavior (which is also called the irregular set) for continuous flows and suspension flows. In this paper under the hypothesis that (Xt)t is a continuous flow on a d-dimensional Riemaniann closed manifold M (d ≥ 2) with gluing orbit property, we prove that the set of points with historic behavior in a compact and invariant subset ∆ of M is either empty or is a Baire residual subset on ∆. We also prove that the set of points with historic behavior of a suspension flows over a homeomorphism satisfyng the gluing orbit property is either empty or Baire residual and carries full topological entropy.

키워드

과제정보

The author is deeply grateful to Paulo Varandas, Thiago Bomfim and Diego Daltro for the incentive and suggestions that helped to improve the structure of the paper.

참고문헌

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