arXiv math/00102252000-10-24math.DS

Return time statistics via inducing

Henk Bruin, Benoit Saussol, Serge Troubetzkoy, Sandro Vaienti

发表信息：: Ergodic Theory and Dynamical Systems 23 (2003) 991-1013

英文摘要：

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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