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Moscow Mathematical Journal, 2005, Volume 5, Number 3, Pages 669–678
DOI: https://doi.org/10.17323/1609-4514-2005-5-3-669-678 (Mi mmj214) 		 
This article is cited in 21 scientific papers (total in 21 papers)

Thermodynamical formalism associated with inducing schemes for one-dimensional maps

Ya. B. Pesina, S. Sentib

a Pennsylvania State University
b Instituto Nacional de Matemática Pura e Aplicada
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DOI: https://doi.org/10.17323/1609-4514-2005-5-3-669-678
Abstract: For a smooth map $f$ of a compact interval I admitting an inducing scheme we establish a thermodynamical formalism, i.e., describe a class of real-valued potential functions $\varphi$ on I which admit a unique equilibrium measure $\mu_\varphi$. Our results apply to unimodal maps corresponding to a positive Lebesgue measure set of parameters in a one-parameter transverse family.
Key words and phrases: Equilibrium measures, Gibbs measures, inducing schemes, thermodynamic formalism, unimodal maps.
Received: July 4, 2005
Bibliographic databases:
MSC: 37D25, 37D35, 37E05, 37E10
Language: English
Citation: Ya. B. Pesin, S. Senti, “Thermodynamical formalism associated with inducing schemes for one-dimensional maps”, Mosc. Math. J., 5:3 (2005), 669–678
Citation in format AMSBIB
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\by Ya.~B.~Pesin, S.~Senti
\paper Thermodynamical formalism associated with inducing schemes for one-dimensional maps
\jour Mosc. Math.~J.
\yr 2005
\vol 5
\issue 3
\pages 669--678
\mathnet{http://mi.mathnet.ru/mmj214}
\crossref{https://doi.org/10.17323/1609-4514-2005-5-3-669-678}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2241816}
\zmath{https://zbmath.org/?q=an:1109.37028}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000208595500010}
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