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Volumn 22, Issue 6, 2002, Pages 1933-1955

Weak Gibbs measures and the local product structure

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EID: 0036895005     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385702000780     Document Type: Article
Times cited : (14)

References (34)
  • 2
    • 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
  • 3
    • 0033416835 scopus 로고    scopus 로고
    • Dimension and product structure of hyperbolic measures
    • L. Barreira, Y. Pesin and J. Schmeling. Dimension and product structure of hyperbolic measures. Ann. Math. 143 (1999), 755-783.
    • (1999) Ann. Math. , vol.143 , pp. 755-783
    • Barreira, L.1    Pesin, Y.2    Schmeling, J.3
  • 4
    • 85009367586 scopus 로고
    • Equilibrium states and the ergodic theory of Anosov diffeomorphisms
    • Springer
    • R. Bowen. Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms (Springer Lecture Notes in Mathematics, 470). Springer, 1975.
    • (1975) Springer Lecture Notes in Mathematics , vol.470
    • Bowen, R.1
  • 6
    • 0000587287 scopus 로고    scopus 로고
    • A note on the construction of nonsingular Gibbs measures
    • M. Denker and M. Yuri. A note on the construction of nonsingular Gibbs measures. Coll. Math. 84/85 (2000), 377-383.
    • (2000) Coll. Math. , vol.84-85 , pp. 377-383
    • Denker, M.1    Yuri, M.2
  • 7
    • 35949018382 scopus 로고
    • Ergodic theory of chaos and strange attractors
    • J.-P. Eckmann and D. Ruelle. Ergodic theory of chaos and strange attractors. Rev. Mod. Phys. 57(3) (1985), 617-656.
    • (1985) Rev. Mod. Phys. , vol.57 , Issue.3 , pp. 617-656
    • Eckmann, J.-P.1    Ruelle, D.2
  • 8
    • 48749145669 scopus 로고
    • The dimension of chaotic attractors
    • J. Farmer, E. Ott and J. Yorke. The dimension of chaotic attractors. Physica D 7 (1983), 153-180.
    • (1983) Physica D , vol.7 , pp. 153-180
    • Farmer, J.1    Ott, E.2    Yorke, J.3
  • 10
    • 0030353041 scopus 로고    scopus 로고
    • Rate of convergence in ergodic theorems
    • A. Kachurovskii. Rate of convergence in ergodic theorems. Russian Math. Surveys 51 (1996), 73-124.
    • (1996) Russian Math. Surveys , vol.51 , pp. 73-124
    • Kachurovskii, A.1
  • 11
    • 0001396372 scopus 로고    scopus 로고
    • Recurrence times and rates of mixing
    • L.-S. Young. Recurrence times and rates of mixing. Israel J. Math., 110 (1999), 153-188.
    • (1999) Israel J. Math. , vol.110 , pp. 153-188
    • Young, L.-S.1
  • 12
    • 0001048955 scopus 로고
    • The metric entropy of diffeomorphisms. Part II
    • F. Ledrappier and L.-S. Young. The metric entropy of diffeomorphisms. Part II. Ann. Math. 122 (1985), 540-574.
    • (1985) Ann. Math. , vol.122 , pp. 540-574
    • Ledrappier, F.1    Young, L.-S.2
  • 16
    • 21444441654 scopus 로고    scopus 로고
    • A multifractal analysis of equilibrium measures for conformal expanding maps and Markov Moran geometric constructions
    • Y.B. Pesin and H. Weiss. A multifractal analysis of equilibrium measures for conformal expanding maps and Markov Moran geometric constructions. J. Stat. Phys. 86 (1997), 233-275.
    • (1997) J. Stat. Phys. , vol.86 , pp. 233-275
    • Pesin, Y.B.1    Weiss, H.2
  • 17
    • 0035531640 scopus 로고    scopus 로고
    • Statistical properties of maps with indifferent periodic points
    • M. Pollicott and M. Yuri. Statistical properties of maps with indifferent periodic points. Commun. Math. Phys. 217 (2001), 503-520.
    • (2001) Commun. Math. Phys. , vol.217 , pp. 503-520
    • Pollicott, M.1    Yuri, M.2
  • 18
    • 0002787955 scopus 로고
    • Exact endomorphisms of a Lebesgue space
    • V.I. Rohlin. Exact endomorphisms of a Lebesgue space. Amer. Math. Soc. Transl. Ser. 2 39 (1964), 1-36.
    • (1964) Amer. Math. Soc. Transl. Ser. 2 , vol.39 , pp. 1-36
    • Rohlin, V.I.1
  • 21
    • 0000779360 scopus 로고
    • Detecting strange attractors in turbulence
    • Springer
    • F. Takens. Detecting Strange Attractors in Turbulence (Springer Lecture Notes in Mathematics, 898). Springer, 1980, pp. 366-381.
    • (1980) Springer Lecture Notes in Mathematics , vol.898 , pp. 366-381
    • Takens, F.1
  • 22
    • 84972537540 scopus 로고
    • A complex continued fraction transformation and its ergodic properties
    • S. Tanaka. A complex continued fraction transformation and its ergodic properties. Tokyo. J. Math 8 (1985), 191-214.
    • (1985) Tokyo. J. Math , vol.8 , pp. 191-214
    • Tanaka, S.1
  • 23
    • 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
  • 24
    • 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
  • 25
    • 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
  • 26
    • 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 Math. 6 (1995), 355-383.
    • (1995) Indagationes Math. , vol.6 , pp. 355-383
    • Yuri, M.1
  • 27
    • 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
  • 28
    • 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
  • 29
    • 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
  • 30
    • 0033410563 scopus 로고    scopus 로고
    • Thermodynamic Formalism for certain non-hyperbolic maps
    • M. Yuri. Thermodynamic Formalism for certain non-hyperbolic maps. Ergod. Th. & Dynam. Sys. 19 (1999), 1365-1378.
    • (1999) Ergod. Th. & Dynam. Sys. , vol.19 , pp. 1365-1378
    • Yuri, M.1
  • 31
    • 23044518284 scopus 로고    scopus 로고
    • Statistical properties for nonhyperbolic maps with finite range structure
    • M. Yuri. Statistical properties for nonhyperbolic maps with finite range structure. Trans. Amer. Math. Soc. 352 (2000), 2369-2388.
    • (2000) Trans. Amer. Math. Soc. , vol.352 , pp. 2369-2388
    • Yuri, M.1
  • 32
    • 0034395014 scopus 로고    scopus 로고
    • Weak Gibbs measures for certain nonhyperbolic systems
    • M. Yuri. Weak Gibbs measures for certain nonhyperbolic systems. Ergod. Th. & Dynam. Sys. 20 (2000) 1495-1518.
    • (2000) Ergod. Th. & Dynam. Sys. , vol.20 , pp. 1495-1518
    • Yuri, M.1
  • 33
    • 0012340587 scopus 로고    scopus 로고
    • On the speed of convergence to equilibrium states for multi-dimensional maps with indifferent periodic points
    • M. Yuri. On the speed of convergence to equilibrium states for multi-dimensional maps with indifferent periodic points. Nonlinearity 15 (2002), 429-445.
    • (2002) Nonlinearity , vol.15 , pp. 429-445
    • Yuri, M.1


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