We study the transfer operators for a family depending on the parameter 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.
On the spectrum of the trans- fer operators of a one-parameter family with intermittency transition
ISOLA, Stefano
2015-01-01
Abstract
We study the transfer operators for a family depending on the parameter 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.File in questo prodotto:
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Far East Journal of Dynamical Systems, 2015, vol. 27, 1, pp. 13-25.pdf
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Descrizione: arXiv:1506.02573 [math.DS]
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