Geodesic
On Gibbs Measures and Spectra of Ruelle Transfer Operators
Canadian mathematical bulletin, Tome 60 (2017) no. 2, pp. 411-421

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DOI

We prove a comprehensive version of the Ruelle–Perron–Frobenius Theorem with explicit estimates of the spectral radius of the Ruelle transfer operator and various other quantities related to spectral properties of this operator. The novelty here is that the Hölder constant of the function generating the operator appears only polynomially, not exponentially as in previously known estimates.
DOI : 10.4153/CMB-2016-073-2
Mots-clés : 37A05, 37B10, subshift of finite type, Ruelle transfer operator, Gibbs measure 
Stoyanov, Luchezar. On Gibbs Measures and Spectra of Ruelle Transfer Operators. Canadian mathematical bulletin, Tome 60 (2017) no. 2, pp. 411-421. doi: 10.4153/CMB-2016-073-2
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     title = {On {Gibbs} {Measures} and {Spectra} of {Ruelle} {Transfer} {Operators}},
     journal = {Canadian mathematical bulletin},
     pages = {411--421},
     year = {2017},
     volume = {60},
     number = {2},
     doi = {10.4153/CMB-2016-073-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-073-2/}
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