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Volumn 18, Issue 2, 2005, Pages 831-854

Continuity of SRB measure and entropy for Benedicks-Carleson quadratic maps

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EID: 14844319306     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/18/2/019     Document Type: Article
Times cited : (34)

References (18)
  • 1
    • 14844288570 scopus 로고
    • Absolutely continuous invariant measures for the quadratic family
    • [A192] 093/93
    • [A192] Alves J F 1993 Absolutely continuous invariant measures for the quadratic family Informes de Matemática, IMPA, Série A 093/93 http://www.fc.up.pt/cmup/jfalves/publications.htm
    • (1993) Informes de Matemática, IMPA, Série A
    • Alves, J.F.1
  • 2
    • 3142702742 scopus 로고    scopus 로고
    • Strong statistical stability of non-uniformly expanding maps
    • [A103]
    • [A103] Alves J F 2003 Strong statistical stability of non-uniformly expanding maps Nonlinearity 17 1193-215
    • (2003) Nonlinearity , vol.17 , pp. 1193-1215
    • Alves, J.F.1
  • 3
    • 0035981909 scopus 로고    scopus 로고
    • Statistical stability for robust classes of maps with non-uniform expansion
    • [AV02]
    • [AV02] Alves J F and Viana M 2002 Statistical stability for robust classes of maps with non-uniform expansion Ergod. Theory Dynam. Syst. 22 1-32
    • (2002) Ergod. Theory Dynam. Syst. , vol.22 , pp. 1-32
    • Alves, J.F.1    Viana, M.2
  • 8
    • 0001870459 scopus 로고
    • The dynamics of the Hénon map
    • [BC91]
    • [BC91] Benedicks M and Carleson L 1991 The dynamics of the Hénon map Ann. Math. 133 73-169
    • (1991) Ann. Math. , vol.133 , pp. 73-169
    • Benedicks, M.1    Carleson, L.2
  • 9
    • 84971895467 scopus 로고
    • Absolutely continuous invariant measures and random perturbations for certain one-dimensional maps
    • [BY92]
    • [BY92] Benedicks M and Young L S 1992 Absolutely continuous invariant measures and random perturbations for certain one-dimensional maps Ergod. Theory Dynam. Syst. 12 13-27
    • (1992) Ergod. Theory Dynam. Syst. , vol.12 , pp. 13-27
    • Benedicks, M.1    Young, L.S.2
  • 10
    • 0031530948 scopus 로고    scopus 로고
    • Generic hyperbolicity in the logistic family
    • [GS97]
    • [GS97] Graczyk J and Swiatek G 1997 Generic hyperbolicity in the logistic family Ann. Math. 146 1-52
    • (1997) Ann. Math. , vol.146 , pp. 1-52
    • Graczyk, J.1    Swiatek, G.2
  • 11
    • 0002053804 scopus 로고
    • Absolutely continuous invariant measures for one parameter families of one-dimensional maps
    • [Ja81]
    • [Ja81] Jakobson M 1981 Absolutely continuous invariant measures for one parameter families of one-dimensional maps Commun. Math. Phys. 81 39-88
    • (1981) Commun. Math. Phys. , vol.81 , pp. 39-88
    • Jakobson, M.1
  • 12
    • 0001057166 scopus 로고    scopus 로고
    • Dynamics of quadratic polynomials. I, II
    • [Ly97]
    • [Ly97] Lyubich M 1997 Dynamics of quadratic polynomials. I, II Acta Math. 178 185-297
    • (1997) Acta Math. , vol.178 , pp. 185-297
    • Lyubich, M.1
  • 13
    • 0011665833 scopus 로고    scopus 로고
    • Dynamics of quadratic polynomials, III Parapuzzle and SBR measures
    • [Ly00]
    • [Ly00] Lyubich M 2000 Dynamics of quadratic polynomials, III Parapuzzle and SBR measures Astérisque 261 173-200
    • (2000) Astérisque , vol.261 , pp. 173-200
    • Lyubich, M.1
  • 15
    • 14844336554 scopus 로고
    • Chaotic dynamics of quadratic maps
    • [Mo92] 092/93
    • [Mo92] Moreira F J 1993 Chaotic dynamics of quadratic maps Informes de Matemática, IMPA, Série A 092/93 http://www.fc.up.pt/cmup/ fsmoreir/downloads/BC.pdf
    • (1993) Informes de Matemática, IMPA, Série A
    • Moreira, F.J.1
  • 16
    • 21144472608 scopus 로고
    • Regularity and other properties of absolutely continuous invariant measures for the quadratic family
    • [RS92]
    • [RS92] Rychlik M and Sorets E 1992 Regularity and other properties of absolutely continuous invariant measures for the quadratic family Commun. Math. Phys. 150 217-36
    • (1992) Commun. Math. Phys. , vol.150 , pp. 217-236
    • Rychlik, M.1    Sorets, E.2
  • 17
    • 0035289437 scopus 로고    scopus 로고
    • Unfolding of chaotic unimodal maps and the parameter dependence of natural measures
    • [Th01]
    • [Th01] Thunberg H 2001 Unfolding of chaotic unimodal maps and the parameter dependence of natural measures Nonlinearity 14 323-37
    • (2001) Nonlinearity , vol.14 , pp. 323-337
    • Thunberg, H.1
  • 18
    • 0030525810 scopus 로고    scopus 로고
    • On continuity of Bowen-Ruelle-Sinai measures in families of one dimensional maps
    • [Ts96]
    • [Ts96] Tsujii M 1996 On continuity of Bowen-Ruelle-Sinai measures in families of one dimensional maps Commun. Math. Phys. 177 1-11
    • (1996) Commun. Math. Phys. , vol.177 , pp. 1-11
    • Tsujii, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.