메뉴 건너뛰기




Volumn 235, Issue , 1978, Pages 183-192

Ergodic transformations from an interval into itself

Author keywords

Frobenius Perron operator; Function of bounded variation; Invariant measures; Invariant sets

Indexed keywords


EID: 84968518885     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-1978-0457679-0     Document Type: Article
Times cited : (197)

References (8)
  • 1
    • 0001372710 scopus 로고
    • A common property of number systems
    • (Russian) MR 22 #702
    • A. O. Gelfond, A common property of number systems, Izv. Akad. Nauk SSSR Ser. Mat. 23 (1959), 809-814. (Russian) MR 22 #702.
    • (1959) Izv. Akad. Nauk SSSR Ser. Mat , vol.23 , pp. 809-814
    • Gelfond, A.O.1
  • 2
    • 34250438265 scopus 로고
    • Invariant measures and functional equationst
    • MR 48 #6368
    • A. Lasota, Invariant measures and functional equationst Aequationes Math. 9 (1973), 193-200. MR 48 #6368.
    • (1973) Aequationes Math , vol.9 , pp. 193-200
    • Lasota, A.1
  • 3
    • 84966227493 scopus 로고
    • On the existence of invariant measures for piecewise monotonic transformations
    • (1974) MR 49 #538
    • A. Lasota and J. A. Yorke, On the existence of invariant measures for piecewise monotonic transformations, Trans. Amer. Math. Soc. 186 (1973), 481-488. (1974) MR 49 #538.
    • (1973) Trans. Amer. Math. Soc. , vol.186 , pp. 481-488
    • Lasota, A.1    Yorke, J.A.2
  • 4
    • 84968480991 scopus 로고
    • Period three implies chaos, Amer
    • T. Y. Li and J. A. Yorke, Period three implies chaos, Amer. Math. Monthly 82 (1975), 985-992.
    • (1975) Math. Monthly , vol.82 , pp. 985-992
    • Li, T.Y.1    Yorke, J.A.2
  • 5
    • 0010564057 scopus 로고
    • On the ft-expansions of real numbers
    • MR 26 #288
    • W. Parry, On the ft-expansions of real numbers, Acta Math. Acad. Sci. Hungar. 11 (1960), 401-416. MR 26 #288.
    • (1960) Acta Math. Acad. Sci. Hungar. , vol.11 , pp. 401-416
    • Parry, W.1
  • 6
    • 0040341424 scopus 로고
    • Representation for real numbers and their ergodic properties
    • MR 20 #3843
    • A. Renyi, Representation for real numbers and their ergodic properties, Acta Math. Acad. Sci. Hungar. 8 (1957), 477-493. MR 20 #3843.
    • (1957) Acta Math. Acad. Sci. Hungar. , vol.8 , pp. 477-493
    • Renyi, A.1
  • 7
    • 0000725751 scopus 로고
    • A collection of mathematical problems
    • Interscience, New York
    • S. M. Ulam, A collection of mathematical problems, Interscience Tracts in Pure and Appl. Math., no. 8, Interscience, New York, 1960. MR 22 # 10884.
    • (1960) Interscience Tracts in Pure and Appl. Math. , Issue.8 , pp. 10884
    • Ulam, S.M.1
  • 8
    • 0040827776 scopus 로고
    • Ergodic properties of a certain class of piecewise smooth transformations of a segment
    • MR 45 #8802
    • A. A. Kosjakin and E. A. Sandler, Ergodic properties of a certain class of piecewise smooth transformations of a segment, Izv. Vyss. Ucebn. Zaved. Matematika 1972, no. 3(118), 32-40. MR 45 #8802.
    • (1972) Izv. Vyss. Ucebn. Zaved. Matematika , vol.118 , Issue.3 , pp. 32-40
    • Kosjakin, A.A.1    Sandler, E.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.