메뉴 건너뛰기




Volumn 122, Issue 6, 2006, Pages 1095-1110

Phase transitions for uniformly expanding maps

Author keywords

Equilibrium measures; Expanding maps; Phase transitions; Thermodynamical formalism

Indexed keywords


EID: 33645740614     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-005-9005-7     Document Type: Article
Times cited : (19)

References (13)
  • 1
    • 84968503810 scopus 로고
    • Ergodic theory for Markov fibred systems and parabolic rational maps
    • J. Aaronson, M. Denker, and M. Urbański, Ergodic theory for Markov fibred systems and parabolic rational maps. Trans. Amer. Math. Soc. 337(2): 495-548 (1993).
    • (1993) Trans. Amer. Math. Soc. , vol.337 , Issue.2 , pp. 495-548
    • Aaronson, J.1    Denker, M.2    Urbański, M.3
  • 2
    • 0242382473 scopus 로고    scopus 로고
    • Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps
    • J. Buzzi and O. Sarig, Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps, Ergodic Theory Dynam. Systems 23(5): 1383-1400 (2003).
    • (2003) Ergodic Theory Dynam. Systems , vol.23 , Issue.5 , pp. 1383-1400
    • Buzzi, J.1    Sarig, O.2
  • 3
    • 84968476501 scopus 로고
    • Examples for the non-uniqueness of the equilibrium state
    • F. Hofbauer, Examples for the non-uniqueness of the equilibrium state, Trans. Amer. Math. Soc. 228:223-241 (1978).
    • (1978) Trans. Amer. Math. Soc. , vol.228 , pp. 223-241
    • Hofbauer, F.1
  • 4
    • 0001669659 scopus 로고
    • The zeta function, non-differentiability of pressure, and the critical exponent of transition
    • A. O. Lopes, The zeta function, non-differentiability of pressure, and the critical exponent of transition, Adv. Math. 101(2): 133-165 (1993).
    • (1993) Adv. Math. , vol.101 , Issue.2 , pp. 133-165
    • Lopes, A.O.1
  • 5
    • 0035655831 scopus 로고    scopus 로고
    • Gibbs states on the symbolic space over an infinite alphabet
    • D. Mauldin and M. Urbański, Gibbs states on the symbolic space over an infinite alphabet, Israel J. Math. 125: 93-130 (2001).
    • (2001) Israel J. Math. , vol.125 , pp. 93-130
    • Mauldin, D.1    Urbański, M.2
  • 7
    • 33645735132 scopus 로고    scopus 로고
    • Thermodynamical formalism associated with inducing schemes for one-dimensional maps
    • Y. Pesin and S. Senti, Thermodynamical formalism associated with inducing schemes for one-dimensional maps, Moscow Mathematical Journal (2005).
    • (2005) Moscow Mathematical Journal
    • Pesin, Y.1    Senti, S.2
  • 8
    • 0033276174 scopus 로고    scopus 로고
    • Thermodynamic formalism for countable Markov shifts
    • O. Sarig, Thermodynamic formalism for countable Markov shifts, Ergodic Theory Dynam. Systems 19(6): 1565-1593 (1999).
    • (1999) Ergodic Theory Dynam. Systems , vol.19 , Issue.6 , pp. 1565-1593
    • Sarig, O.1
  • 9
    • 0035531647 scopus 로고    scopus 로고
    • Phase transitions for countable Markov shifts
    • O. Sarig, Phase transitions for countable Markov shifts, Comm. Math. Phys. 217(3): 555-577 (2001).
    • (2001) Comm. Math. Phys. , vol.217 , Issue.3 , pp. 555-577
    • Sarig, O.1
  • 10
    • 0037725144 scopus 로고    scopus 로고
    • Existence of Gibbs measures for countable Markov shifts
    • electronic
    • O. Sarig, Existence of Gibbs measures for countable Markov shifts, Proc. Amer. Math. Soc. 131(6): 1751-1758 (electronic) (2003).
    • (2003) Proc. Amer. Math. Soc. , vol.131 , Issue.6 , pp. 1751-1758
    • Sarig, O.1
  • 11
    • 0035654904 scopus 로고    scopus 로고
    • Thermodynamics formalism for null recurrent Markov shifts
    • O. Sarig, Thermodynamics formalism for null recurrent Markov shifts. Iseael J. Math. 121: 285-311 (2001).
    • (2001) Iseael J. Math. , vol.121 , pp. 285-311
    • Sarig, O.1
  • 12
    • 0037634213 scopus 로고    scopus 로고
    • Thermodynamic formalism for countable to one Markov systems
    • electronic
    • M. Yuri, Thermodynamic formalism for countable to one Markov systems, Trans. Amer. Math. Soc. 355(7): 2949-2971 (electronic) (2003).
    • (2003) Trans. Amer. Math. Soc. , vol.355 , Issue.7 , pp. 2949-2971
    • Yuri, M.1
  • 13
    • 84968476187 scopus 로고
    • Invariant measures and equilibrium states for some mappings which expand distances
    • P. Walters, Invariant measures and equilibrium states for some mappings which expand distances, Trans. Amer. Math. Soc. 236: 121-153 (1978).
    • (1978) Trans. Amer. Math. Soc. , vol.236 , pp. 121-153
    • Walters, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.