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

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

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.

Suggested Citation

  • Ben Ammou, S. & Bonanno, C. & Chouari, I. & Isola, S., 2015. "On the leading eigenvalue of transfer operators of the Farey map with real temperature," Chaos, Solitons & Fractals, Elsevier, vol. 71(C), pages 60-65.
    • Handle: RePEc:eee:chsofr:v:71:y:2015:i:c:p:60-65
    DOI: 10.1016/j.chaos.2014.12.004
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    References listed on IDEAS

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    1. Isola, Stefano, 2011. "From infinite ergodic theory to number theory (and possibly back)," Chaos, Solitons & Fractals, Elsevier, vol. 44(7), pages 467-479.
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    Cited by:

    1. Claudio Bonanno, 2022. "On the Generalised Transfer Operators of the Farey Map with Complex Temperature," Mathematics, MDPI, vol. 11(1), pages 1-16, December.

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