Spectral structure of transfer operators for expanding circle maps

Bandtlow, Oscar F.; Just, Wolfram; Slipantschuk, Julia

doi:10.1016/j.anihpc.2015.08.004

Bandtlow, Oscar F. ; Just, Wolfram ; Slipantschuk, Julia

Annales de l'I.H.P. Analyse non linéaire, Tome 34 (2017) no. 1, pp. 31-43.

Résumé

We explicitly determine the spectrum of transfer operators (acting on spaces of holomorphic functions) associated to analytic expanding circle maps arising from finite Blaschke products. This is achieved by deriving a convenient natural representation of the respective adjoint operators.

MR Zbl

DOI : 10.1016/j.anihpc.2015.08.004

Mots clés : Spectrum of transfer operators, Analytic circle maps, Mixing rates, Blaschke products, Adjoint operators, Expanding maps

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     title = {Spectral structure of transfer operators for expanding circle maps},
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     pages = {31--43},
     publisher = {Elsevier},
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Bandtlow, Oscar F.; Just, Wolfram; Slipantschuk, Julia. Spectral structure of transfer operators for expanding circle maps. Annales de l'I.H.P. Analyse non linéaire, Tome 34 (2017) no. 1, pp. 31-43. doi : 10.1016/j.anihpc.2015.08.004. http://archive.numdam.org/articles/10.1016/j.anihpc.2015.08.004/

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