Discrete and Continuous Dynamical Systems - Series B (DCDS-B)

A note on specification for iterated function systems
Pages: 3475 - 3485, Issue 10, December 2015

doi:10.3934/dcdsb.2015.20.3475      Abstract        References        Full text (355.6K)           Related Articles

Welington Cordeiro - Department of Mathematics, Universidade Federal do Rio de Janeiro, Rio de Janeiro-RJ, CT, 21945-970, Brazil (email)
Manfred Denker - Mathematics Department, The Pennsylvania State University, State College, PA 16802, United States (email)
Michiko Yuri - Department of Mathematics, Graduate School of Science, Hokkaido University, Kita 10, Nishi 8, Kita-ku, Sapporo 060-0810, Japan (email)

1 R. Bowen, Entropy for group endomorphisms and homogeneous spaces, Trans. Amer. Math. Soc., 153 (1971), 401-414.       
2 M. Denker, Y. Kifer and M. Stadlbauer, Thermodynamic formalism for random countable Markov shifts, Discrete Contin. Dyn. Syst., 22 (2008), 131-164.       
3 M. Denker, Einf├╝hrung in die Analysis Dynamischer Systeme, Springer-Lehrbuch, Springer-Verlag, Berlin, 2005.       
4 M. Denker and M. Yuri, Conformal families of measures for general iterated function systems, Contemporary Math., 631 (2015), 93-108.       
5 B. M. Gurevic, Topological entropy for denumerable Markov chains, Dokl. Akad. Nauk., SSSR 187 (1969), 715-718; Engl. transl. in Soviet Math. Dokl., 10 (1969), 911-915.       
6 O. Sarig, Thermodynamic formalism for countable Markov shifts, Ergodic Theory & Dynamical Systems, 19 (1999), 1565-1593.       
7 P. Walters, An Introduction to Ergodic Theory, Graduate Texts in Mathematics, 79, Springer-Verlag, New York-Berlin, 1982.       

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