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arXiv · 1506.02573

On the spectrum of the transfer operators of a one-parameter family with intermittency transition

S. Ben Ammou·C. Bonanno·I. Chouari·S. Isola
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Abstract

We study the transfer operators for a family $F_r:[0,1] \to [0,1]$ depending on the parameter $r\in [0,1]$, which interpolates between the tent map and the Farey map. In particular, considering the action of the transfer operator on a suitable Hilbert space, we can define a family of infinite matrices associated to the operators and study their spectrum by numerical methods.

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S. Ben Ammou, C. Bonanno, I. Chouari, S. Isola. 2015-06-08. On the spectrum of the transfer operators of a one-parameter family with intermittency transition. https://arxiv.org/abs/1506.02573

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