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Recurrence spectrum in smooth dynamical systems

Benoît Saussol1 and Jun Wu2

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Recommended by C Liverani

We prove that for conformal expanding maps the return time does have constant multifractal spectrum. This is the counterpart of the result by Feng and Wu in the symbolic setting.


PACS

05.45.Df Fractals

02.40.Sf Manifolds and cell complexes

MSC

37B20 Notions of recurrence

37Cxx Smooth dynamical systems: general theory (See also 34Cxx, 34Dxx)

Subjects

Mathematical physics

Statistical physics and nonlinear systems

Dates

Issue 6 (November 2003)

Received 28 March 2003, in final form 23 July 2003

Published 22 August 2003



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