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Volumn 19, Issue 5, 1999, Pages 1365-1378

Thermodynamic formalism for certain nonhyperbolic maps

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EID: 0033410563     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385799141695     Document Type: Article
Times cited : (33)

References (23)
  • 1
    • 33646924932 scopus 로고
    • On the existence of conformal measures
    • M. Denker and M. Urbanski. On the existence of conformal measures. Trans. Amer. Math. Soc. 328 (1991), 563-587.
    • (1991) Trans. Amer. Math. Soc. , vol.328 , pp. 563-587
    • Denker, M.1    Urbanski, M.2
  • 2
    • 0039123326 scopus 로고
    • Absolutely continuous invariant measures for expansive rational maps with rationally indifferent periodic points
    • M. Denker and M. Urbanski. Absolutely continuous invariant measures for expansive rational maps with rationally indifferent periodic points. Forum Math. 3 (1991), 561-579.
    • (1991) Forum Math. , vol.3 , pp. 561-579
    • Denker, M.1    Urbanski, M.2
  • 3
    • 0001169771 scopus 로고
    • Hausdorff and conformal measures on Julia sets with a rationally indifferent periodic points
    • M. Denker and M. Urbanski. Hausdorff and conformal measures on Julia sets with a rationally indifferent periodic points. J. London Math. Soc. 43(2) (1991), 107-118.
    • (1991) J. London Math. Soc. , vol.43 , Issue.2 , pp. 107-118
    • Denker, M.1    Urbanski, M.2
  • 4
    • 84968503810 scopus 로고
    • Ergodic theory for Markov fibred systems and parabolic rational maps
    • J. Aaronson, M. Denker and M. Urbanski. Ergodic theory for Markov fibred systems and parabolic rational maps. Trans. Amer. Math. Soc. 337 (1993), 495-548.
    • (1993) Trans. Amer. Math. Soc. , vol.337 , pp. 495-548
    • Aaronson, J.1    Denker, M.2    Urbanski, M.3
  • 5
    • 84972526449 scopus 로고
    • Number theoretical transformations and their ergodic properties
    • Sh. Ito and M. Yuri. Number theoretical transformations and their ergodic properties. Tokyo J. Math. 10 (1987), 1-32.
    • (1987) Tokyo J. Math. , vol.10 , pp. 1-32
    • Ito, Sh.1    Yuri, M.2
  • 6
    • 0001377445 scopus 로고
    • The quality of the Diophantine approximations found by the Jacobi-Perron algorithm and related algorithms
    • J. C. Lagarias. The quality of the Diophantine approximations found by the Jacobi-Perron algorithm and related algorithms. Monash. Math. 115 (1993), 299-328.
    • (1993) Monash. Math. , vol.115 , pp. 299-328
    • Lagarias, J.C.1
  • 8
    • 51249174357 scopus 로고
    • On the Perron-Frobenius-Ruelle operator for rational maps on the Riemann sphere and for holder continuous functions
    • F. Przytycki. On the Perron-Frobenius-Ruelle operator for rational maps on the Riemann sphere and for Holder continuous functions. Bol. Bras. Math. Soc. 20 (1990), 95-125.
    • (1990) Bol. Bras. Math. Soc. , vol.20 , pp. 95-125
    • Przytycki, F.1
  • 9
    • 85033957934 scopus 로고    scopus 로고
    • Thermodynamic formalism for countable Markov shifts
    • to appear
    • O. M. Sarig. Thermodynamic formalism for countable Markov shifts. Ergod. Th. & Dynam. Sys. to appear.
    • Ergod. Th. & Dynam. Sys.
    • Sarig, O.M.1
  • 10
    • 0011259557 scopus 로고
    • Some remarks on ergodicity and invariant measures
    • F. Schweiger. Some remarks on ergodicity and invariant measures. Michigan Math. J. 22 (1975) 181-187.
    • (1975) Michigan Math. J. , vol.22 , pp. 181-187
    • Schweiger, F.1
  • 12
    • 0039841078 scopus 로고
    • Ergodic properties of multi-dimensional subtractive algorithms
    • F. Schweiger. Ergodic properties of multi-dimensional subtractive algorithms. New Trends Probab. Stat. (1992), 91-100.
    • (1992) New Trends Probab. Stat. , pp. 91-100
    • Schweiger, F.1
  • 13
    • 51249180929 scopus 로고
    • Estimates of the invariant densities of endomorphisms with indifferent fixed points
    • M. Thaler. Estimates of the invariant densities of endomorphisms with indifferent fixed points. Israel J. Math. 37 (1980), 303-314.
    • (1980) Israel J. Math. , vol.37 , pp. 303-314
    • Thaler, M.1
  • 14
    • 51249181565 scopus 로고
    • Transformations on [0, 1] with infinite invariant measures
    • M. Thaler. Transformations on [0, 1] with infinite invariant measures. Israel J. Math. 46 (1983), 67-96.
    • (1983) Israel J. Math. , vol.46 , pp. 67-96
    • Thaler, M.1
  • 15
    • 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 (1978), 121-153.
    • (1978) Trans. Amer. Math. Soc. , vol.236 , pp. 121-153
    • Walters, P.1
  • 16
    • 0041043372 scopus 로고
    • Some ergodic properties of multi-dimensional f-expansions
    • M. S. Watermann. Some ergodic properties of multi-dimensional f-expansions. Z. Wahrsch. Verw. Gebiete 16 (1971), 77-103.
    • (1971) Z. Wahrsch. Verw. Gebiete , vol.16 , pp. 77-103
    • Watermann, M.S.1
  • 17
    • 84972487833 scopus 로고
    • On a Bernoulli property for multi-dimensional maps with finite range structure
    • M. Yuri. On a Bernoulli property for multi-dimensional maps with finite range structure. Tokyo J. Math. 9 (1986), 457-485.
    • (1986) Tokyo J. Math. , vol.9 , pp. 457-485
    • Yuri, M.1
  • 18
    • 0001226580 scopus 로고
    • Invariant measures for certain multi-dimensional maps
    • M. Yuri. Invariant measures for certain multi-dimensional maps. Nonlinearity 7(3) (1994), 1093-1124.
    • (1994) Nonlinearity , vol.7 , Issue.3 , pp. 1093-1124
    • Yuri, M.1
  • 19
    • 0000435218 scopus 로고
    • Multi-dimensional maps with infinite invariant measures and countable state sofic shifts
    • M. Yuri. Multi-dimensional maps with infinite invariant measures and countable state sofic shifts. Indagationes Mathematicae 6 (1995), 355-383.
    • (1995) Indagationes Mathematicae , vol.6 , pp. 355-383
    • Yuri, M.1
  • 20
    • 0031495876 scopus 로고    scopus 로고
    • On the convergence to equilibrium states for certain nonhyperbolic systems
    • M. Yuri. On the convergence to equilibrium states for certain nonhyperbolic systems. Ergod. Th. & Dynam. Sys. 17 (1997), 977-1000.
    • (1997) Ergod. Th. & Dynam. Sys. , vol.17 , pp. 977-1000
    • Yuri, M.1
  • 21
    • 0032333867 scopus 로고    scopus 로고
    • Zeta functions for certain nonhyperbolic systems and topological Markov approximations
    • M. Yuri. Zeta functions for certain nonhyperbolic systems and topological Markov approximations. Ergod. Th. & Dynam. Sys. 18 (1998), 1589-1612.
    • (1998) Ergod. Th. & Dynam. Sys. , vol.18 , pp. 1589-1612
    • Yuri, M.1
  • 22
    • 0000352828 scopus 로고    scopus 로고
    • Decay of correlations for certain multi-dimensional maps
    • M. Yuri. Decay of correlations for certain multi-dimensional maps. Nonlinearity 9 (1996), 1439-1461.
    • (1996) Nonlinearity , vol.9 , pp. 1439-1461
    • Yuri, M.1
  • 23
    • 0040845488 scopus 로고    scopus 로고
    • Statistical properties for nonhyperbolic maps with finite range structure
    • to appear
    • M. Yuri. Statistical properties for nonhyperbolic maps with finite range structure. Trans. Amer. Math. Soc. to appear.
    • Trans. Amer. Math. Soc.
    • Yuri, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.