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Approximation and Asymptotics of Dimension for some Non-Uniformly Hyperbolic Interval Maps with Holes

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Author

Summary, in English

We study how the dimension of the invariant set of an interval map with a hole depends on the size of the hole. Under some assumptions on the map, it is shown that the derivative of the dimension with respect to the size of the hole is bounded and that the dimension is bounded away from zero.

Department/s

Publishing year

2007

Language

English

Pages

2615-2632

Publication/Series

Nonlinearity

Volume

20

Issue

11

Document type

Journal article

Publisher

London Mathematical Society / IOP Science

Topic

  • Mathematics

Status

Published

Research group

  • Analysis and Dynamics
  • Dynamical systems

ISBN/ISSN/Other

  • ISSN: 0951-7715