메뉴 건너뛰기




Volumn 103, Issue 1-4, 1997, Pages 18-33

Infinite-dimensional SRB measures

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0001843774     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(96)00250-3     Document Type: Article
Times cited : (33)

References (34)
  • 1
    • 22244449509 scopus 로고
    • Singular effects in chaotic dynamical systems
    • M. Blank, Singular effects in chaotic dynamical systems, Russian Acad. Sci. Dokl. Math. 47 (1993) 1-5.
    • (1993) Russian Acad. Sci. Dokl. Math. , vol.47 , pp. 1-5
    • Blank, M.1
  • 2
    • 85009367586 scopus 로고
    • Equilibrium states and the ergodic theory of Anosov diffeomorphisms
    • Springer, New York
    • R. Bowen, Equilibrium states and the ergodic theory of Anosov diffeomorphisms, Lecture Notes in Mathematics, Vol. 470 (Springer, New York, 1975).
    • (1975) Lecture Notes in Mathematics , vol.470
    • Bowen, R.1
  • 4
    • 0030537298 scopus 로고    scopus 로고
    • High temperature expansions and dynamical systems
    • J. Bricmont and A. Kupiainen, High temperature expansions and dynamical systems, Commun. Math. Phys. 178 (1996) 703-732.
    • (1996) Commun. Math. Phys. , vol.178 , pp. 703-732
    • Bricmont, J.1    Kupiainen, A.2
  • 5
    • 0001775913 scopus 로고
    • A short course on cluster expansions
    • Les Houches Session XLIII, eds. K. Osterwalder and R. Stora Elsevier, Amsterdam
    • D.C. Brydges, A short course on cluster expansions, in: Critical Phenomena, Random Systems, Gauge Theories. Les Houches Session XLIII, eds. K. Osterwalder and R. Stora (Elsevier, Amsterdam, 1984) pp. 139-183.
    • (1984) Critical Phenomena, Random Systems, Gauge Theories , pp. 139-183
    • Brydges, D.C.1
  • 6
    • 0001163022 scopus 로고
    • Space-time chaos in coupled map lattices
    • L.A. Bunimovich and Y.G. Sinai, Space-time chaos in coupled map lattices, Nonlinearity 1 (1988) 491-516.
    • (1988) Nonlinearity , vol.1 , pp. 491-516
    • Bunimovich, L.A.1    Sinai, Y.G.2
  • 8
    • 0038020323 scopus 로고
    • Gibbsian random fields for lattice systems with pairwise interactions
    • R.L. Dobrushin, Gibbsian random fields for lattice systems with pairwise interactions, Funct. Anal. Appl. 2 (1968) 292-301.
    • (1968) Funct. Anal. Appl. , vol.2 , pp. 292-301
    • Dobrushin, R.L.1
  • 9
    • 0001235413 scopus 로고
    • The description of a random field by means of conditional probabilities and conditions on its regularity
    • R.L. Dobrushin, The description of a random field by means of conditional probabilities and conditions on its regularity, Theory Probab. Appl. 13 (1968) 197-224.
    • (1968) Theory Probab. Appl. , vol.13 , pp. 197-224
    • Dobrushin, R.L.1
  • 10
    • 16244413851 scopus 로고
    • Taming Griffiths' singularities: Infinite differentiability of quenched correlation functions
    • H. von Dreifus, A. Klein and J.F. Perez, Taming Griffiths' singularities: Infinite differentiability of quenched correlation functions, Comm. Math. Phys. 170 (1995) 21-39.
    • (1995) Comm. Math. Phys. , vol.170 , pp. 21-39
    • Von Dreifus, H.1    Klein, A.2    Perez, J.F.3
  • 11
    • 35949018382 scopus 로고
    • Ergodic theory of chaos and strange atrractors
    • J.P. Eckmann and D. Ruelle, Ergodic theory of chaos and strange atrractors, Rev. Mod. Phys. 57 (1985) 617-656.
    • (1985) Rev. Mod. Phys. , vol.57 , pp. 617-656
    • Eckmann, J.P.1    Ruelle, D.2
  • 12
    • 34250084304 scopus 로고
    • Regularity properties and pathologies of position-space renormalization-group transformations: Scope and limitations of Gibbsian theory
    • A.C.D van Enter, R. Fernandez and A. Sokal, Regularity properties and pathologies of position-space renormalization-group transformations: Scope and limitations of Gibbsian theory, J. Statist. Phys. 72 (1993) 879-1167.
    • (1993) J. Statist. Phys. , vol.72 , pp. 879-1167
    • Van Enter, A.C.D.1    Fernandez, R.2    Sokal, A.3
  • 13
    • 0000707833 scopus 로고
    • Critical temperatures for anisotropic Ising lattices. II. General upper bounds
    • M. Fisher, Critical temperatures for anisotropic Ising lattices. II. General upper bounds, Phys. Rev. 162 (1967) 480-485.
    • (1967) Phys. Rev. , vol.162 , pp. 480-485
    • Fisher, M.1
  • 14
    • 0002351356 scopus 로고
    • Decay of correlations in classical lattice models at high temperature
    • L. Gross, Decay of correlations in classical lattice models at high temperature, Comm. Math. Phys. 68 (1979) 9-27.
    • (1979) Comm. Math. Phys. , vol.68 , pp. 9-27
    • Gross, L.1
  • 15
    • 0001261852 scopus 로고
    • High-temperature analyticity in classical lattice systems
    • R.B. Israel, High-temperature analyticity in classical lattice systems, Comm. Math. Phys. 50 (1976) 245-257.
    • (1976) Comm. Math. Phys. , vol.50 , pp. 245-257
    • Israel, R.B.1
  • 16
    • 0001667371 scopus 로고
    • Equilibrium states for lattice models of hyperbolic type
    • M. Jiang, Equilibrium states for lattice models of hyperbolic type, Nonlinearity 8 (1995) 631-659;
    • (1995) Nonlinearity , vol.8 , pp. 631-659
    • Jiang, M.1
  • 17
    • 22244446024 scopus 로고
    • Ph.D. Thesis, Pennsylvania State University
    • see also Ph.D. Thesis, Pennsylvania State University (1995).
    • (1995)
  • 20
    • 34848902004 scopus 로고
    • Focus issue on coupled map lattices
    • K. Kaneko, ed., Focus issue on coupled map lattices, Chaos 2 (1993).
    • (1993) Chaos , vol.2
    • Kaneko, K.1
  • 23
    • 22244431748 scopus 로고
    • Thesis, Universität Erlangen
    • see also M. Künzle, Thesis, Universität Erlangen (1993).
    • (1993)
    • Künzle, M.1
  • 24
    • 0001209222 scopus 로고
    • Macroscopic equilibrium from microscopic irreversibility in a chaotic coupled-map lattice
    • J. Miller and D.A. Huse, Macroscopic equilibrium from microscopic irreversibility in a chaotic coupled-map lattice, Phys. Rev. E 48 (1993) 2528-2535.
    • (1993) Phys. Rev. E , vol.48 , pp. 2528-2535
    • Miller, J.1    Huse, D.A.2
  • 25
    • 0000492905 scopus 로고
    • Space-time chaos in chains of weakly coupled hyperbolic maps
    • ed. Y.G. Sinai, Harwood, New York
    • Y.G. Pesin and Y.G. Sinai, Space-time chaos in chains of weakly coupled hyperbolic maps, in: Advances in Soviet Mathematics, ed. Y.G. Sinai, Vol. 3 (Harwood, New York, 1991).
    • (1991) Advances in Soviet Mathematics , vol.3
    • Pesin, Y.G.1    Sinai, Y.G.2
  • 26
    • 21144482124 scopus 로고
    • Periodic behaviour of cellular automata
    • Y. Pomeau, Periodic behaviour of cellular automata, J. Statist. Phys. 70 (1993) 1379-1382.
    • (1993) J. Statist. Phys. , vol.70 , pp. 1379-1382
    • Pomeau, Y.1
  • 29
    • 84956071330 scopus 로고
    • Gibbs measures in ergodic theory
    • Y.G. Sinai, Gibbs measures in ergodic theory, Russian Math. Surveys 27 (1972) 21-64.
    • (1972) Russian Math. Surveys , vol.27 , pp. 21-64
    • Sinai, Y.G.1
  • 30
    • 0004192457 scopus 로고
    • Princeton University Press, Princeton, NJ
    • Y.G. Sinai, Topics in Ergodic Theory (Princeton University Press, Princeton, NJ, 1994).
    • (1994) Topics in Ergodic Theory
    • Sinai, Y.G.1
  • 32
    • 0002323613 scopus 로고
    • Kinetics of coupled map lattices
    • D.L. Volevich, Kinetics of coupled map lattices, Nonlinearity 4 (1991) 37-45.
    • (1991) Nonlinearity , vol.4 , pp. 37-45
    • Volevich, D.L.1
  • 33
    • 0000112301 scopus 로고
    • The Sinai-Bowen-Ruelle measure for a multidimensional lattice of interacting hyperbolic mappings
    • D.L. Volevich, The Sinai-Bowen-Ruelle measure for a multidimensional lattice of interacting hyperbolic mappings, Russian Acad. Dokl. Math. 47 (1993) 117-121.
    • (1993) Russian Acad. Dokl. Math. , vol.47 , pp. 117-121
    • Volevich, D.L.1
  • 34
    • 0006110353 scopus 로고
    • Construction of an analogue of Bowen-Ruelle-Sinai measure for a multidimensional lattice of interacting hyperbolic mappings
    • D.L. Volevich, Construction of an analogue of Bowen-Ruelle-Sinai measure for a multidimensional lattice of interacting hyperbolic mappings, Russian Acad. Math. Sbornik 79 (1994) 347-363.
    • (1994) Russian Acad. Math. Sbornik , vol.79 , pp. 347-363
    • Volevich, D.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.