Spectral estimates for Ruelle operators with two parameters and sharp large deviations

Vesselin Petkov; Luchezar  Stoyanov

doi:10.3934/dcds.2019277

Spectral estimates for Ruelle operators with two parameters and sharp large deviations

Vesselin Petkov, Luchezar Stoyanov

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We obtain spectral estimates for the iterations of Ruelle operators Lf+(a+ib)τ+(c+id)g with two complex parameters and Hölder continuous functions f, g generalizing the case Pr(f) = 0 studied in [9]. As an application we prove a sharp large deviation theorem concerning exponentially shrinking intervals which improves the result in [8]. © 2019 American Institute of Mathematical Sciences. All rights reserved.

Original language	English
Pages (from-to)	6391-6417
Number of pages	27
Journal	DISCRETE & CONTINUOUS DYNAMICAL SYSTEMS. SERIES A
Volume	39
Issue number	11
DOIs	https://doi.org/10.3934/dcds.2019277
Publication status	Published - Aug 2019

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title = "Spectral estimates for Ruelle operators with two parameters and sharp large deviations",

abstract = "We obtain spectral estimates for the iterations of Ruelle operators Lf+(a+ib)τ+(c+id)g with two complex parameters and H{\"o}lder continuous functions f, g generalizing the case Pr(f) = 0 studied in [9]. As an application we prove a sharp large deviation theorem concerning exponentially shrinking intervals which improves the result in [8]. {\textcopyright} 2019 American Institute of Mathematical Sciences. All rights reserved.",

author = "Vesselin Petkov and Luchezar Stoyanov",

year = "2019",

month = aug,

doi = "10.3934/dcds.2019277",

language = "English",

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AU - Stoyanov, Luchezar

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AB - We obtain spectral estimates for the iterations of Ruelle operators Lf+(a+ib)τ+(c+id)g with two complex parameters and Hölder continuous functions f, g generalizing the case Pr(f) = 0 studied in [9]. As an application we prove a sharp large deviation theorem concerning exponentially shrinking intervals which improves the result in [8]. © 2019 American Institute of Mathematical Sciences. All rights reserved.

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M3 - Article

SN - 1078-0947

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JO - DISCRETE & CONTINUOUS DYNAMICAL SYSTEMS. SERIES A

JF - DISCRETE & CONTINUOUS DYNAMICAL SYSTEMS. SERIES A

IS - 11

ER -

Spectral estimates for Ruelle operators with two parameters and sharp large deviations

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