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Volumn 23, Issue 5, 2003, Pages 1383-1400

Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps

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EID: 0242382473     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385703000087     Document Type: Article
Times cited : (133)

References (29)
  • 3
    • 0003284881 scopus 로고    scopus 로고
    • Intrinsic ergodicity for smooth interval maps
    • J. Buzzi. Intrinsic ergodicity for smooth interval maps. Israel J. Math. 100 (1997), 125-161.
    • (1997) Israel J. Math. , vol.100 , pp. 125-161
    • Buzzi, J.1
  • 5
    • 0040942587 scopus 로고    scopus 로고
    • Markov extensions for multidimensional dynamical systems
    • J. Buzzi. Markov extensions for multidimensional dynamical systems. Israel J. Math. 112 (1999), 357-380.
    • (1999) Israel J. Math. , vol.112 , pp. 357-380
    • Buzzi, J.1
  • 6
    • 0012039131 scopus 로고    scopus 로고
    • Thermodynamical formalism for piecewise invertible maps: Absolutely continuous invariant measures as equilibrium states
    • American Mathematical Society, Providence, RI
    • J. Buzzi. Thermodynamical formalism for piecewise invertible maps: absolutely continuous invariant measures as equilibrium states. Smooth Ergodic Theory and its Applications (Seattle, WA, 1999) (Proc. Sympos. Pure Math., 69). American Mathematical Society, Providence, RI, 2001, pp. 749-783.
    • (2001) Smooth Ergodic Theory and Its Applications (Seattle, WA, 1999) (Proc. Sympos. Pure Math., 69) , vol.69 , pp. 749-783
    • Buzzi, J.1
  • 8
    • 0039741658 scopus 로고    scopus 로고
    • Conformal measures for multi-dimensional piecewise invertible maps
    • J. Buzzi, F. Paccaut and B. Schmitt. Conformal measures for multi-dimensional piecewise invertible maps. Ergod. Th. & Dynam. Sys. 21 (2001), 1035-1049.
    • (2001) Ergod. Th. & Dynam. Sys. , vol.21 , pp. 1035-1049
    • Buzzi, J.1    Paccaut, F.2    Schmitt, B.3
  • 9
    • 0036459262 scopus 로고    scopus 로고
    • Decay of correlations for piecewise invertible maps in higher dimensions
    • J. Buzzi and V. Maume-Deschamps. Decay of correlations for piecewise invertible maps in higher dimensions. Israel J. Math. 131 (2002), 203-220.
    • (2002) Israel J. Math. , vol.131 , pp. 203-220
    • Buzzi, J.1    Maume-Deschamps, V.2
  • 10
    • 0003290441 scopus 로고
    • Topological entropy of a countable Markov chain
    • B.M. Gurevich. Topological entropy of a countable Markov chain. Dokl. Akad. Nauk SSSR 187 (1969), 715-718.
    • (1969) Dokl. Akad. Nauk SSSR , vol.187 , pp. 715-718
    • Gurevich, B.M.1
  • 11
    • 0003272440 scopus 로고
    • Shift entropy and Markov measures in the space of paths of a countable graph
    • B.M. Gurevich. Shift entropy and Markov measures in the space of paths of a countable graph. Dokl. Akad. Nauk SSSR 192 (1970), 963-965.
    • (1970) Dokl. Akad. Nauk SSSR , vol.192 , pp. 963-965
    • Gurevich, B.M.1
  • 12
    • 0002543155 scopus 로고    scopus 로고
    • Thermodynamic formalism for countable symbolic Markov chains
    • B.M. Gurevich and S.V. Savchenko. Thermodynamic formalism for countable symbolic Markov chains. Uspekhi Mat. Nauk. 53(2) (1998), 3-106. (Engl. transl. Russian Math. Surv. 53(2) (1998), 245-344.)
    • (1998) Uspekhi Mat. Nauk. , vol.53 , Issue.2 , pp. 3-106
    • Gurevich, B.M.1    Savchenko, S.V.2
  • 13
    • 0003228859 scopus 로고    scopus 로고
    • Engl. transl.
    • B.M. Gurevich and S.V. Savchenko. Thermodynamic formalism for countable symbolic Markov chains. Uspekhi Mat. Nauk. 53(2) (1998), 3-106. (Engl. transl. Russian Math. Surv. 53(2) (1998), 245-344.)
    • (1998) Russian Math. Surv. , vol.53 , Issue.2 , pp. 245-344
  • 14
    • 33646862901 scopus 로고
    • Piecewise invertible dynamical systems
    • F. Hofbauer. Piecewise invertible dynamical systems. Probab. Th. Rel. Fields 72 (1986), 359-386.
    • (1986) Probab. Th. Rel. Fields , vol.72 , pp. 359-386
    • Hofbauer, F.1
  • 16
    • 0442269813 scopus 로고
    • Strongly mixing g-measures
    • M. Keane. Strongly mixing g-measures. Invent. Math. 16 (1972), 309-324.
    • (1972) Invent. Math. , vol.16 , pp. 309-324
    • Keane, M.1
  • 18
    • 0001483334 scopus 로고
    • Principe variationnel et systémes dynamiques symboliques
    • F. Ledrappier. Principe variationnel et systémes dynamiques symboliques. Z. Wahrsch. Gebiete 30 (1974), 185-202.
    • (1974) Z. Wahrsch. Gebiete , vol.30 , pp. 185-202
    • Ledrappier, F.1
  • 19
    • 0035655831 scopus 로고    scopus 로고
    • Gibbs states on the symbolic space over an infinite alphabet
    • R. D. Mauldin and M. Urbański. Gibbs states on the symbolic space over an infinite alphabet. Israel J. Math. 125 (2001), 93-130.
    • (2001) Israel J. Math. , vol.125 , pp. 93-130
    • Mauldin, R.D.1    Urbański, M.2
  • 20
    • 84968480689 scopus 로고
    • Intrinsic Markov Chains
    • W. Parry. Intrinsic Markov Chains. Trans. Amer. Math. Soc. 112 (1964), 55-66.
    • (1964) Trans. Amer. Math. Soc. , vol.112 , pp. 55-66
    • Parry, W.1
  • 21
    • 0000809231 scopus 로고
    • A measure associated with Axiom A attractors
    • D. Ruelle. A measure associated with Axiom A attractors. Amer. J. Math. 98(3) (1976), 619-654.
    • (1976) Amer. J. Math. , vol.98 , Issue.3 , pp. 619-654
    • Ruelle, D.1
  • 24
    • 0033276174 scopus 로고    scopus 로고
    • Thermodynamic formalism for countable Markov shifts
    • O. Sarig. Thermodynamic formalism for countable Markov shifts. Ergod. Th. & Dynam. Sys. 19 (1999), 1565-1593.
    • (1999) Ergod. Th. & Dynam. Sys. , vol.19 , pp. 1565-1593
    • Sarig, O.1
  • 25
    • 0035654904 scopus 로고    scopus 로고
    • Thermodynamics formalism for null recurrent potentials
    • O. Sarig. Thermodynamics formalism for null recurrent potentials. Israel J. Math. 121 (2001), 285-311.
    • (2001) Israel J. Math. , vol.121 , pp. 285-311
    • Sarig, O.1
  • 26
    • 0035531647 scopus 로고    scopus 로고
    • Phase transitions for countable Markov shifts
    • O. Sarig. Phase transitions for countable Markov shifts. Commun. Math. Phys. 217 (2001), 555-577.
    • (2001) Commun. Math. Phys. , vol.217 , pp. 555-577
    • Sarig, O.1
  • 27
    • 0037725144 scopus 로고    scopus 로고
    • Existence of Gibbs measures for countable Markov shifts
    • O. Sang. Existence of Gibbs measures for countable Markov shifts. Proc. Amer. Math. Soc. 131 (2003), 1751-1758.
    • (2003) Proc. Amer. Math. Soc. , vol.131 , pp. 1751-1758
    • Sang, O.1
  • 29
    • 0001379490 scopus 로고
    • Ruelle's operator theorem and g-measures
    • P. Walters. Ruelle's operator theorem and g-measures. Trans. Amer. Math. Soc. 214 (1978), 375-387.
    • (1978) Trans. Amer. Math. Soc. , vol.214 , pp. 375-387
    • Walters, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.