Return time statistics via inducing

Details Return time statistics via inducing Return time statistics via inducing

2000-10-24

arxiv.org/abs/math/0010225v1

Ergodic Theory and Dynamical Systems 23 (2003) 991-1013

Mathematics

Dynamical Systems

Scientific paper

We prove that return time statistics of a dynamical system do not change if one passes to an induced (i.e. first return) map. We apply this to show exponential return time statistics in i) smooth interval maps with nowhere-dense critical orbits and ii) certain interval maps with neutral fixed points. The method also applies to iii) certain quadratic maps of the complex plane.

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