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arXiv · 1811.04811

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

Vesselin Petkov·Luchezar Stoyanov
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Abstract

We obtain spectral estimates for the iterations of Ruelle operator $L_{f + (a + \i b)\tau + (c + \i d) g}$ with two complex parameters and H\"{o}lder functions $f,\: g$ generalizing the case $\Pr(f) =0$ studied in [PeS2]. As an application we prove a sharp large deviation theorem concerning exponentially shrinking intervals which improves the result in [PeS1].

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Vesselin Petkov, Luchezar Stoyanov. 2018-11-09. Spectral estimates for Ruelle operators with two parameters and sharp large deviations. https://arxiv.org/abs/1811.04811

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