A one-parameter family of analytic Markov maps with an intermittency transition

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In this paper we introduce and study a one-parameter family of piecewise analytic interval maps having the tent map and the Farey map as extrema. Among other things, we construct a Hilbert space of analytic functions left invariant by the Perron-Frobenius operator of all these maps and study the transition between discrete and continuous spectrum when approaching the intermittent situation.
27 pages

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Dynamical Systems, Spectral Theory, AMS Subject Classification: 58F20, 58F25, 11F72, 11M26

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http://salesiana.dossiersoluciones.com/handle/123456789/68232

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0308020
 http://arxiv.org/abs/math/0308020

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arXiv