메뉴 건너뛰기




Volumn 19, Issue 2, 2006, Pages 377-397

Escape rates and conditionally invariant measures

Author keywords

[No Author keywords available]

Indexed keywords


EID: 30644472521     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/19/2/008     Document Type: Article
Times cited : (133)

References (38)
  • 1
  • 2
    • 0001525001 scopus 로고
    • Zeta functions and transfer operators for piecewise monotonic transformations
    • Baladi V and Keller G 1990 Zeta functions and transfer operators for piecewise monotonic transformations Commun. Math. Phys. 127 459-77
    • (1990) Commun. Math. Phys. , vol.127 , pp. 459-477
    • Baladi, V.1    Keller, G.2
  • 5
    • 0004190631 scopus 로고
    • Birkhoff G 1967 Lattice Theory (American Mathematical Society Colloquium Publications vol 25) 3rd edn (Providence, RI: AMS)
    • (1967) Lattice Theory
    • Birkhoff, G.1
  • 6
    • 0242276319 scopus 로고    scopus 로고
    • Multicomponent dynamical systems: SRB measures and phase transitions
    • Blank M and Bunimovich L 2003 Multicomponent dynamical systems: SRB measures and phase transitions Nonlinearity 16 387-401
    • (2003) Nonlinearity , vol.16 , Issue.1 , pp. 387-401
    • Blank, M.1    Bunimovich, L.2
  • 8
    • 0039844055 scopus 로고
    • A natural invariant measure on Smale's horseshoe
    • Čencova N N 1981 A natural invariant measure on Smale's horseshoe Sov. Math. Dokl. 23 87-91
    • (1981) Sov. Math. Dokl. , vol.23 , pp. 87-91
    • Čencova, N.N.1
  • 10
    • 0001104053 scopus 로고    scopus 로고
    • Ergodic properties of Anosov maps with rectangular holes
    • Chernov N and Markarian R 1997 Ergodic properties of Anosov maps with rectangular holes Bol. Soc. Bras. Mat. 28 271-314
    • (1997) Bol. Soc. Bras. Mat. , vol.28 , pp. 271-314
    • Chernov, N.1    Markarian, R.2
  • 11
    • 0007349787 scopus 로고    scopus 로고
    • Anosov maps with rectangular holes. Nonergodic cases
    • Chernov N and Markarian R 1997 Anosov maps with rectangular holes. Nonergodic cases Bol. Soc. Bras. Mat. 28 315-42
    • (1997) Bol. Soc. Bras. Mat. , vol.28 , pp. 315-342
    • Chernov, N.1    Markarian, R.2
  • 12
    • 0034216066 scopus 로고    scopus 로고
    • On the existence of conditionally invariant probability measures in dynamical systems
    • Collet P, Martínez S and Maume-Deschamps V 2000 On the existence of conditionally invariant probability measures in dynamical systems Nonlinearity 13 1263-74
    • (2000) Nonlinearity , vol.13 , Issue.4 , pp. 1263-1274
    • Collet, P.1    Martínez, S.2    Maume-Deschamps, V.3
  • 13
    • 4644342203 scopus 로고    scopus 로고
    • On the existence of conditionally invariant probability measures in dynamical systems
    • Collet P, Martínez S and Maume-Deschamps V 2004 On the existence of conditionally invariant probability measures in dynamical systems Nonlinearity 17 1985-7 (Corrigendum)
    • (2004) Nonlinearity , vol.17 , Issue.5 , pp. 1985-1987
    • Collet, P.1    Martínez, S.2    Maume-Deschamps, V.3
  • 14
    • 0000905087 scopus 로고
    • The Yorke-Pianigiani measure and the asymptotic law on the limit Cantor set of expanding systems
    • Collet P, Martínez S and Schmitt B 1994 The Yorke-Pianigiani measure and the asymptotic law on the limit Cantor set of expanding systems Nonlinearity 7 1437-43
    • (1994) Nonlinearity , vol.7 , Issue.5 , pp. 1437-1443
    • Collet, P.1    Martínez, S.2    Schmitt, B.3
  • 15
    • 0003140363 scopus 로고    scopus 로고
    • Quasi-stationary distribution and Gibbs measure of expanding systems
    • Collet P, Martínez S and Schmitt B 1996 Quasi-stationary distribution and Gibbs measure of expanding systems Instabilities and Nonequilibrium Structures vol V ed E Tirapegui and W Zeller (Dordrecht: Kluwer) pp 205-19
    • (1996) Instabilities and Nonequilibrium Structures , vol.5 , pp. 205-219
    • Collet, P.1    Martínez, S.2    Schmitt, B.3
  • 16
    • 0002806834 scopus 로고    scopus 로고
    • The Pianigiani-Yorke measure for topological Markov chains
    • Collet P, Martínez S and Schmitt B 1997 The Pianigiani-Yorke measure for topological Markov chains Israel J. Math. 97 61-70
    • (1997) Israel J. Math. , vol.97 , pp. 61-70
    • Collet, P.1    Martínez, S.2    Schmitt, B.3
  • 17
    • 22644452002 scopus 로고    scopus 로고
    • On the enhancement of diffusion by chaos, escape rates and stochastic stability
    • Collet P, Martínez S and Schmitt B 1999 On the enhancement of diffusion by chaos, escape rates and stochastic stability Trans. Am. Math. Soc. 351 2875-97
    • (1999) Trans. Am. Math. Soc. , vol.351 , pp. 2875-2897
    • Collet, P.1    Martínez, S.2    Schmitt, B.3
  • 18
  • 20
    • 0344509301 scopus 로고    scopus 로고
    • Decay of correlations for Lorenz gases and hard balls
    • Chernov N and Young L-S 2000 Decay of correlations for Lorenz gases and hard balls Hard Ball Systems and the Lorenz Gas (Encyclopaedia of Mathematical Sciences vol 101) ed D Szasz (Berlin: Springer) pp 89-120
    • (2000) Hard Ball Systems and the Lorenz Gas , pp. 89-120
    • Chernov, N.1    Young, L.-S.2
  • 21
    • 18444381429 scopus 로고    scopus 로고
    • Markov extensions for dynamical systems with holes: An application to expanding maps of the interval
    • Demers M 2005 Markov extensions for dynamical systems with holes: an application to expanding maps of the interval Israel J. Math. 146 189-221
    • (2005) Israel J. Math. , vol.146 , pp. 189-221
    • Demers, M.1
  • 22
    • 23444450388 scopus 로고    scopus 로고
    • Markov extensions and conditionally invariant measures for certain logistic maps with small holes
    • Demers M 2005 Markov extensions and conditionally invariant measures for certain logistic maps with small holes Ergod. Theory Dynam. Syst. 25 1139-71
    • (2005) Ergod. Theory Dynam. Syst. , vol.25 , pp. 1139-1171
    • Demers, M.1
  • 23
    • 35949018382 scopus 로고
    • Ergodic theory of chaos and strange attractors
    • Eckmann J-P and Ruelle D 1985 Ergodic theory of chaos and strange attractors Rev. Mod. Phys. 57 617-56
    • (1985) Rev. Mod. Phys. , vol.57 , Issue.3 , pp. 617-656
    • Eckmann, J.-P.1    Ruelle, D.2
  • 24
    • 0001240798 scopus 로고
    • Existence of quasi-stationary distributions. A renewal dynamical approach
    • Ferrari P A, Kesten H, Martínez S and Picco P 1995 Existence of quasi-stationary distributions. A renewal dynamical approach Ann. Probab. 23 501-21
    • (1995) Ann. Probab. , vol.23 , pp. 501-521
    • Ferrari, P.A.1    Kesten, H.2    Martínez, S.3    Picco, P.4
  • 25
    • 0001005639 scopus 로고
    • Ruelle's Peron-Frobenius theorem and projective metrics
    • Ferrero P and Schmitt B 1979 Ruelle's Peron-Frobenius theorem and projective metrics Coll. Math. Soc. J. Bollyai 27 333-6 (Proc. Conf. on Random Fields (Esztergom, Hungary))
    • (1979) Coll. Math. Soc. J. Bollyai , vol.27 , pp. 333-336
    • Ferrero, P.1    Schmitt, B.2
  • 26
    • 0035981928 scopus 로고    scopus 로고
    • Intermittency in families of unimodal maps
    • Homburg A and Young T 2002 Intermittency in families of unimodal maps Ergod. Theory Dynam. Syst. 22 203-25
    • (2002) Ergod. Theory Dynam. Syst. , vol.22 , pp. 203-225
    • Homburg, A.1    Young, T.2
  • 28
    • 0000345142 scopus 로고
    • Decay of correlations
    • Liverani C 1995 Decay of correlations Ann. Math. 142 239-301
    • (1995) Ann. Math. , vol.142 , pp. 239-301
    • Liverani, C.1
  • 29
    • 0037402867 scopus 로고    scopus 로고
    • Lasota-Yorke maps with holes: Conditionally invariant probability measures and invariant probability measures on the survivor set
    • Liverani C and Maume-Deschamps V 2003 Lasota-Yorke maps with holes: conditionally invariant probability measures and invariant probability measures on the survivor set Ann. Inst. H. Poincaré Probab. Stat. 39 385-412
    • (2003) Ann. Inst. H. Poincaré Probab. Stat. , vol.39 , pp. 385-412
    • Liverani, C.1    Maume-Deschamps, V.2
  • 30
    • 0030128039 scopus 로고    scopus 로고
    • Open Billiards: Cantor sets, invariant and conditionally invariant probabilities
    • Lopes A and Markarian R 1996 Open Billiards: cantor sets, invariant and conditionally invariant probabilities SIAM J. Appl. Math. 56 651-80
    • (1996) SIAM J. Appl. Math. , vol.56 , pp. 651-680
    • Lopes, A.1    Markarian, R.2
  • 31
    • 84967713041 scopus 로고
    • Expanding maps on sets which are almost invariant: Decay and chaos
    • Pianigiani G and Yorke J 1979 Expanding maps on sets which are almost invariant: decay and chaos Trans. Am. Math. Soc. 252 351-66
    • (1979) Trans. Am. Math. Soc. , vol.252 , pp. 351-366
    • Pianigiani, G.1    Yorke, J.2
  • 32
    • 84912972877 scopus 로고    scopus 로고
    • Richardson P A Jr 1999 Natural measures on the unstable and invariant manifolds of open billiard dynamical systems Doctoral Dissertation Department of Mathematics, University of North Texas
    • (1999) Doctoral Dissertation
    • Richardson, P.A.1
  • 33
    • 84956071330 scopus 로고
    • Gibbs measures in ergodic theory
    • Sinai Y 1972 Gibbs measures in ergodic theory Russ. Math. Surv. 27 21-69
    • (1972) Russ. Math. Surv. , vol.27 , pp. 21-69
    • Sinai, Y.1
  • 34
    • 84963071637 scopus 로고
    • Geometric ergodicity in denumerable Markov chains
    • Vere-Jones D 1962 Geometric ergodicity in denumerable Markov chains Q. J. Math. 13 7-28
    • (1962) Q. J. Math. , vol.13 , pp. 7-28
    • Vere-Jones, D.1
  • 35
    • 84966215243 scopus 로고
    • Some large deviation results for dynamical systems
    • Young L-S 1990 Some large deviation results for dynamical systems Trans. Am. Math. Soc. 318 525-43
    • (1990) Trans. Am. Math. Soc. , vol.318 , pp. 525-543
    • Young, L.-S.1
  • 36
    • 0032348050 scopus 로고    scopus 로고
    • Statistical properties of dynamical systems with some hyperbolicity
    • Young L-S 1998 Statistical properties of dynamical systems with some hyperbolicity Ann. Math. 147 585-650
    • (1998) Ann. Math. , vol.147 , pp. 585-650
    • Young, L.-S.1
  • 37
    • 0001396372 scopus 로고    scopus 로고
    • Recurrence times and rates of mixing
    • Young L-S 1999 Recurrence times and rates of mixing Israel J. Math. 110 53-188
    • (1999) Israel J. Math. , vol.110 , pp. 53-188
    • Young, L.-S.1
  • 38
    • 0141450378 scopus 로고    scopus 로고
    • What are SRB measures and which dynamical systems have them?
    • Young L-S 2002 What are SRB measures and which dynamical systems have them? J. Stat. Phys. 108 733-54
    • (2002) J. Stat. Phys. , vol.108 , pp. 733-754
    • Young, L.-S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.