We study the spectral properties of a family of generalized 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.

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

ISOLA, Stefano
2015-01-01

Abstract

We study the spectral properties of a family of generalized 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.
2015
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11581/359982
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