On the leading eigenvalue of transfer operators of the Farey map with real temperature

S. Ben Ammou, C. Bonanno, I. Chouari and S. Isola

Chaos, Solitons & Fractals, 2015, vol. 71, issue C, 60-65

Abstract: We study the spectral properties of a family of generalised transfer operators associated to the Farey map. We show that when acting on a suitable space of holomorphic functions, the operators are self-adjoint and the positive dominant eigenvalue can be approximated by means of the matrix expression of the operators.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:71:y:2015:i:c:p:60-65

DOI: 10.1016/j.chaos.2014.12.004

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