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Volumn 134, Issue 1, 1999, Pages 69-78

Most expanding maps have no absolutely continuous invariant measure

Author keywords

C1 expanding map; Ruelle Perron Frobenius operator

Indexed keywords


EID: 0007033618     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: 10.4064/sm-134-1-69-78     Document Type: Article
Times cited : (12)

References (11)
  • 3
    • 84974325811 scopus 로고
    • 1 par morceaux de l'intervalle, sans probabilité absolument continue invariante
    • 1 par morceaux de l'intervalle, sans probabilité absolument continue invariante, Ergodic Theory Dynam. Systems 9 (1989), 101-113.
    • (1989) Ergodic Theory Dynam. Systems , vol.9 , pp. 101-113
    • Góra, P.1    Schmitt, B.2
  • 4
    • 84968466162 scopus 로고
    • Noninvertible transformations admitting no absolutely continuous σ-finite invariant measure
    • J M. Hawkins and C. E. Silva, Noninvertible transformations admitting no absolutely continuous σ-finite invariant measure, Proc. Amer. Math. Soc. 111 (1991), 455-463.
    • (1991) Proc. Amer. Math. Soc. , vol.111 , pp. 455-463
    • Hawkins, J.M.1    Silva, C.E.2
  • 6
    • 0007123514 scopus 로고
    • A remark on expanding mappings
    • _, A remark on expanding mappings, Colloq. Math. 41 (1979), 291-295.
    • (1979) Colloq. Math. , vol.41 , pp. 291-295
  • 7
    • 0002305647 scopus 로고
    • On invariant measures for expanding differentiate mappings
    • K. Krzyzewski and W. Szlenk, On invariant measures for expanding differentiate mappings, Studia Math. 33 (1969), 83-92.
    • (1969) Studia Math. , vol.33 , pp. 83-92
    • Krzyzewski, K.1    Szlenk, W.2
  • 9
    • 0000271607 scopus 로고
    • Zeta functions and the periodic orbit structure of hyperbolic dynamics
    • W. Parry and M. Pollicott, Zeta Functions and the Periodic Orbit Structure of Hyperbolic Dynamics, Astérisque 187-188 (1990).
    • (1990) Astérisque , vol.187-188
    • Parry, W.1    Pollicott, M.2
  • 11
    • 84968518323 scopus 로고
    • Ruelle's operator theorem and g-measures
    • P. Walters, Ruelle's operator theorem and g-measures, Trans. Amer. Math. Soc. 214 (1975), 375-387.
    • (1975) Trans. Amer. Math. Soc. , vol.214 , pp. 375-387
    • Walters, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.