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arXiv · 2002.03430

Fixed points of the Ruelle-Thurston operator and the Cauchy transform

Genadi Levin
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Abstract

We give necessary and sufficient conditions for a function in a naturally appearing functional space to be a fixed point of the Ruelle-Thurston operator associated to a rational function, see Lemma 2.1. The proof uses essentially a recent [13]. As an immediate consequence, we revisit Theorem 1 and Lemma 5.2 of [11], see Theorem 1 and Lemma 2.2 below.

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Genadi Levin. 2020-02-09. Fixed points of the Ruelle-Thurston operator and the Cauchy transform. https://arxiv.org/abs/2002.03430

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