A one-parameter family of analytic Markov maps with an intermittency transition
Dynamical Systems
2007-05-23 v1 Spectral Theory
Abstract
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.
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Cite
@article{arxiv.math/0308020,
title = {A one-parameter family of analytic Markov maps with an intermittency transition},
author = {Manuela Giampieri and Stefano Isola},
journal= {arXiv preprint arXiv:math/0308020},
year = {2007}
}
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27 pages