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Title: T-entropy formulae for concrete classes of transfer operators
Authors: Bardadyn, K.
Kwasniewski, B.K.
Kurnosenko, K.S.
Lebedev, A.V.
Issue Date: 2019
Publisher: The Belarusian State University
Citation: Z Beloruss Gos Univ , Mat Inform 2019;2019(3):122-128.
Abstract: t-Entropy is a principal object of the spectral theory of operators, generated by dynamical systems, namely, weighted shift operators and transfer operators. In essence t-entropy is the Fenchel – Legendre transform of the spectral potential of an operator in question and derivation of explicit formulae for its calculation is a rather nontrivial problem. In the article explicit formulae for t-entropy for two the most exploited in applications classes of transfer operators are obtained. Namely, we consider transfer operators generated by reversible mappings (i. e. weighted shift operators) and transfer operators generated by local homeomorphisms (i. e. Perron – Frobenius operators). In the first case t-entropy is computed by means of integrals with respect to invariant measures, while in the second case it is computed in terms of integrals with respect to invariant measures and Kolmogorov – Sinai entropy.
URI: https://elib.bsu.by/handle/123456789/260881
Scopus: 10.33581/2520-6508-2019-3-122-128
metadata.dc.identifier.scopus: 85091935008
Appears in Collections:Кафедра функционального анализа и аналитической экономики (статьи)

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