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Maximum hitting frequency and fastest mean return time

Oliver Jenkinson

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Recommended by C Liverani

Given a dynamical system and a subset A of its phase space, we consider those orbits which, on average, spend as long as possible in A. This largest possible average is the maximum hitting frequency. We study the variation of the (orbits of) maximum hitting frequency as a function of A.


PACS

05.45.-a Nonlinear dynamics and nonlinear dynamical systems

MSC

37A30 Ergodic theorems, spectral theory, Markov operators (For operator ergodic theory, see mainly 47A35)

Subjects

Statistical physics and nonlinear systems

Dates

Issue 5 (September 2005)

Received 8 February 2005, in final form 9 June 2005

Published 8 July 2005



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