메뉴 건너뛰기




Volumn 7, Issue , 2003, Pages 115-146

Convergence of iterates of a transfer operator, application to dynamical systems and to markov chains

Author keywords

Borel Cantelli property; Convergence of iterates; Markov chains; Non uniformly hyperbolic map; Rate in the TCL for dynamical systems; Transfer operator

Indexed keywords


EID: 84996135365     PISSN: 12928100     EISSN: 12623318     Source Type: Journal    
DOI: 10.1051/ps:2003003     Document Type: Article
Times cited : (6)

References (26)
  • 1
    • 0004113671 scopus 로고    scopus 로고
    • Positive Transfer Operators and Decay of Correlations
    • World Scientific
    • V. Baladi, Positive Transfer Operators and Decay of Correlations. World Scientific, Adv. Ser. Nonlinear Dynam. 16 (2000).
    • (2000) Adv. Ser. Nonlinear Dynam. , pp. 16
    • Baladi, V.1
  • 3
    • 0000047875 scopus 로고
    • Martingale central limit theorem
    • B. M. Brown, Martingale central limit theorem. Ann. Math. Statist. 42 (1971) 59-66.
    • (1971) Ann. Math. Statist. , vol.42 , pp. 59-66
    • Brown, B.M.1
  • 4
    • 0035649332 scopus 로고    scopus 로고
    • Dynamical Borel—Cantelli lemmas for Gibbs measures
    • N. Chernov and D. Kleinbock, Dynamical Borel—Cantelli lemmas for Gibbs measures. Isreal J. Math. 122 (2001) 1-27.
    • (2001) Isreal J. Math. , vol.122 , pp. 1-27
    • Chernov, N.1    Kleinbock, D.2
  • 5
    • 0000712942 scopus 로고
    • Fonctions harmoniques pour un operateur de transition et applications
    • J.-P. Conze and A. Raugi, Fonctions harmoniques pour un operateur de transition et applications. Bull. Soc. Math. France 118 (1990) 273-310.
    • (1990) Bull. Soc. Math. France , vol.118 , pp. 273-310
    • Conze, J.-P.1    Raugi, A.2
  • 6
    • 35248862697 scopus 로고    scopus 로고
    • Convergence des potentiels pour un opérateur de transfert, applications aux systèmes dynamiques et aux chaînes de Markov
    • J.-P. Conze and A. Raugi, Convergence des potentiels pour un opérateur de transfert, applications aux systèmes dynamiques et aux chaînes de Markov. Seminaires de Rennes (1998) 52.
    • (1998) Seminaires De Rennes , pp. 52
    • Conze, J.-P.1    Raugi, A.2
  • 7
    • 0000282259 scopus 로고
    • On the central limit theorem for stationary processes
    • M.I. Gordin, On the central limit theorem for stationary processes. Dokl. Akad. Nauk SSSR, Soviet Math. Dokl. 10 (1969) 1174-1176.
    • (1969) Dokl. Akad. Nauk SSSR, Soviet Math. Dokl. , vol.10 , pp. 1174-1176
    • Gordin, M.I.1
  • 8
    • 0002359079 scopus 로고
    • Central limit theorem for stationary Markov processes
    • M.I. Gordin and B.A. Lifvsic, Central limit theorem for stationary Markov processes. Dokl. Akad. Nauk SSSR 239 (1978) 766-767.
    • (1978) Dokl. Akad. Nauk SSSR , vol.239 , pp. 766-767
    • Gordin, M.I.1    Lifvsic, B.A.2
  • 14
    • 0033248118 scopus 로고    scopus 로고
    • Logarithm laws for flows on homogeneous spaces
    • D. Y. Kleinbock and G.A. Margulis, Logarithm laws for flows on homogeneous spaces. Invent. Math. 138 (1999) 451-494.
    • (1999) Invent. Math. , vol.138 , pp. 451-494
    • Kleinbock, D.Y.1    Margulis, G.A.2
  • 15
    • 0031536929 scopus 로고    scopus 로고
    • Vitesse de convergence vers l’etat d’equilibre pour des dynamiques markoviennes non holderiennes
    • A. Kondah, V. Maume and B. Schmitt, Vitesse de convergence vers l’etat d’equilibre pour des dynamiques markoviennes non holderiennes. Ann. Inst. H. Poincare 33 (1997) 675-695.
    • (1997) Ann. Inst. H. Poincare , vol.33 , pp. 675-695
    • Kondah, A.1    Maume, V.2    Schmitt, B.3
  • 16
    • 0000345142 scopus 로고
    • Decay of correlations
    • C. Liverani, Decay of correlations. Ann. Math. 142 (1995) 239-301.
    • (1995) Ann. Math. , vol.142 , pp. 239-301
    • Liverani, C.1
  • 18
    • 84972492588 scopus 로고
    • Some metrical theorems in number theory
    • W. Philipp, Some metrical theorems in number theory. Pacific J. Math. 20 (1967) 109-127.
    • (1967) Pacific J. Math. , vol.20 , pp. 109-127
    • Philipp, W.1
  • 19
    • 22844455091 scopus 로고    scopus 로고
    • Rates of mixing for potentials of summable variation
    • M. Pollicott, Rates of mixing for potentials of summable variation. Trans. Amer. Math. Soc. 352 (2000) 843-853.
    • (2000) Trans. Amer. Math. Soc. , vol.352 , pp. 843-853
    • Pollicott, M.1
  • 20
    • 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. Comm. Math. Phys. 217 (2001) 503-520.
    • (2001) Comm. Math. Phys. , vol.217 , pp. 503-520
    • Pollicott, M.1    Yuri, M.2
  • 21
    • 0001508707 scopus 로고
    • Theorie spectrale d’un operateur de transition sur un espace metrique compact
    • A. Raugi, Theorie spectrale d’un operateur de transition sur un espace metrique compact. Ann. Inst. H. Poincaré 28 (1992) 281-309.
    • (1992) Ann. Inst. H. Poincaré , vol.28 , pp. 281-309
    • Raugi, A.1
  • 22
    • 0040652113 scopus 로고    scopus 로고
    • Sur le theoreme de Berry—Esseen pour les suites faiblement dependantes
    • E. Rio, Sur le theoreme de Berry—Esseen pour les suites faiblement dependantes. J. Probab. Theory Related Fields 104 (1996) 255-282.
    • (1996) J. Probab. Theory Related Fields , vol.104 , pp. 255-282
    • Rio, E.1
  • 24
    • 84956071330 scopus 로고
    • Gibbs measures in ergodic theory
    • Ya. G. Sinai, Gibbs measures in ergodic theory. Russian Math. Surveys 166 (1972) 21-64.
    • (1972) Russian Math. Surveys , vol.166 , pp. 21-64
    • Sinai, Y.G.1
  • 25
    • 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
  • 26
    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.