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Volumn 146, Issue , 2005, Pages 189-221

Markov extensions for dynamical systems with holes: An application to expanding maps of the interval

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EID: 18444381429     PISSN: 00212172     EISSN: 15658511     Source Type: Journal    
DOI: 10.1007/BF02773533     Document Type: Article
Times cited : (24)

References (22)
  • 2
    • 0001525001 scopus 로고
    • Zeta functions and transfer operators for piecewise monotonic transformations
    • [BK]
    • [BK] V. Baladi and G. Keller, Zeta functions and transfer operators for piecewise monotonic transformations, Communications in Mathematical Physics 127 (1990), 459-477.
    • (1990) Communications in Mathematical Physics , vol.127 , pp. 459-477
    • Baladi, V.1    Keller, G.2
  • 3
    • 0040801873 scopus 로고    scopus 로고
    • Markov extensions and decay of correlations for certain Hénon maps
    • [BY]. xi
    • [BY]. M. Benedicks and L.-S. Young, Markov extensions and decay of correlations for certain Hénon maps, Asterisque 261 (2000), xi, 13-56.
    • (2000) Asterisque , vol.261 , pp. 13-56
    • Benedicks, M.1    Young, L.-S.2
  • 4
    • 0039844055 scopus 로고
    • A natural invariant measure on Smale's horseshoe
    • [Cl]
    • [Cl] N. N. Čencova, A natural invariant measure on Smale's horseshoe, Soviet Mathematics Doklady 23 (1981), 87-91.
    • (1981) Soviet Mathematics Doklady , vol.23 , pp. 87-91
    • Čencova, N.N.1
  • 5
    • 0039844059 scopus 로고
    • Statistical properties of smooth Smale horseshoes
    • [C2] (R. L. Dobrushin, ed.), Reidel, Dordrecht
    • [C2] N. N. Čencova, Statistical properties of smooth Smale horseshoes, in Mathematical Problems of Statistical Mechanics and Dynamics (R. L. Dobrushin, ed.), Reidel, Dordrecht, 1986, pp. 199-256.
    • (1986) Mathematical Problems of Statistical Mechanics and Dynamics , pp. 199-256
    • Čencova, N.N.1
  • 6
    • 0033480605 scopus 로고    scopus 로고
    • Statistical properties of piecewise smooth hyperbolic systems in high dimensions
    • [Chl]
    • [Chl] N. Chernov, Statistical properties of piecewise smooth hyperbolic systems in high dimensions, Discrete and Continuous Dynamical Systems 5 (1999), 425-448.
    • (1999) Discrete and Continuous Dynamical Systems , vol.5 , pp. 425-448
    • Chernov, N.1
  • 7
    • 0033074305 scopus 로고    scopus 로고
    • Decay of correlations and dispersing billiards
    • [Ch2]
    • [Ch2] N. Chernov, Decay of correlations and dispersing billiards, Journal of Statistical Physics 04 (1999), 513-556.
    • (1999) Journal of Statistical Physics , vol.4 , pp. 513-556
    • Chernov, N.1
  • 8
    • 0035532207 scopus 로고    scopus 로고
    • Sinai billiards under small external forces
    • [Ch3]
    • [Ch3] N. Chernov, Sinai billiards under small external forces, Annales de l'Institut Henri Poincaré 2 (2001), 197-236.
    • (2001) Annales De L'Institut Henri Poincaré , vol.2 , pp. 197-236
    • Chernov, N.1
  • 11
    • 0000905087 scopus 로고
    • The Yorke-Pianigiani measure and the asymptotic law on the limit cantor set of expanding systems
    • [CMS1]
    • [CMS1] P. Collet, S. Martínez and B. Schmitt, The Yorke-Pianigiani measure and the asymptotic law on the limit Cantor set of expanding systems, Nonlinearity 7 (1994), 1437-1443.
    • (1994) Nonlinearity , vol.7 , pp. 1437-1443
    • Collet, P.1    Martínez, S.2    Schmitt, B.3
  • 12
    • 0003140363 scopus 로고    scopus 로고
    • Quasi-stationary distribution and Gibbs measure of expanding systems
    • [CMS2] (E. Tirapegui and W. Zeller, eds.), Kluwer, Dordrecht
    • [CMS2] P. Collet, S. Martínez and B. Schmitt, Quasi-stationary distribution and Gibbs measure of expanding systems, in Instabilities and Nonequilibrium Structures V (E. Tirapegui and W. Zeller, eds.), Kluwer, Dordrecht, 1996, pp. 205-219.
    • (1996) Instabilities and Nonequilibrium Structures V , pp. 205-219
    • Collet, P.1    Martínez, S.2    Schmitt, B.3
  • 15
    • 84871130204 scopus 로고    scopus 로고
    • Markov extensions and conditionally invariant measures for certain logistic maps with small holes
    • [D] to appear
    • [D] M. Demers, Markov extensions and conditionally invariant measures for certain logistic maps with small holes, Ergodic Theory and Dynamical Systems, to appear.
    • Ergodic Theory and Dynamical Systems
    • Demers, M.1
  • 17
    • 0037402867 scopus 로고    scopus 로고
    • Lasota-Yorke maps with holes: Conditionally invariant probability measures and invariant probability measures on the survivor set
    • [LiM]
    • [LiM] C. Liverani and V. Maume-Deschamps, Lasota-Yorke maps with holes: conditionally invariant probability measures and invariant probability measures on the survivor set, Annales de l'Institut Henri Poincaré. Probabilités et Statistiques 39 (2003), 385-412.
    • (2003) Annales De L'Institut Henri Poincaré. Probabilités Et Statistiques , vol.39 , pp. 385-412
    • Liverani, C.1    Maume-Deschamps, V.2
  • 18
    • 0030128039 scopus 로고    scopus 로고
    • Open Billiards: Cantor sets, invariant and conditionally invariant probabilities
    • [LM]
    • [LM] A. Lopes and R. Markarian, Open Billiards: Cantor sets, invariant and conditionally invariant probabilities, SIAM Journal of Applied Mathematics 56 (1996), 651-680.
    • (1996) SIAM Journal of Applied Mathematics , vol.56 , pp. 651-680
    • Lopes, A.1    Markarian, R.2
  • 21
    • 0032348050 scopus 로고    scopus 로고
    • Statistical properties of dynamical systems with some hyper-bolicity
    • [Yl]
    • [Yl] L.-S. Young, Statistical properties of dynamical systems with some hyper-bolicity, Annals of Mathematics 147 (1998), 585-650.
    • (1998) Annals of Mathematics , vol.147 , pp. 585-650
    • Young, L.-S.1
  • 22
    • 0001396372 scopus 로고    scopus 로고
    • Recurrence times and rates of mixing
    • [Y2]
    • [Y2] L.-S. Young, Recurrence times and rates of mixing, Israel Journal of Mathematics 110 (1999), 153-188.
    • (1999) Israel Journal of Mathematics , vol.110 , pp. 153-188
    • Young, L.-S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.