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Volumn 21, Issue 2, 1998, Pages 477-510

Fredholm determinant for piecewise linear transformations on a plane

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EID: 0004488035     PISSN: 03873870     EISSN: None     Source Type: Journal    
DOI: 10.3836/tjm/1270041829     Document Type: Article
Times cited : (6)

References (13)
  • 1
    • 0001525001 scopus 로고
    • Zeta functions and transfer operators for piecewise monotone transformations
    • V. Baladi and G. Keller, Zeta functions and transfer operators for piecewise monotone transformations, Comm. Math. Phys. 127 (1990), 459-478.
    • (1990) Comm. Math. Phys , vol.127 , pp. 459-478
    • Baladi, V.1    Keller, G.2
  • 2
    • 0039792477 scopus 로고
    • Small perturbations of chaotic dynamical systems
    • M. L. Blank, Small perturbations of chaotic dynamical systems, Russian Math. Surveys 44 (1989), 1-33.
    • (1989) Russian Math. Surveys , vol.44 , pp. 1-33
    • Blank, M.L.1
  • 4
    • 0002392544 scopus 로고
    • Zeta functions and transfer-operators for piecewise linear transformations
    • F. Hofbauer and G. Keller, Zeta functions and transfer-operators for piecewise linear transformations, J. Reine Angew. Math. 352 (1984), 100-113.
    • (1984) J. Reine Angew. Math , vol.352 , pp. 100-113
    • Hofbauer, F.1    Keller, G.2
  • 5
    • 0003862232 scopus 로고
    • Perturbation Thoery for Linear Operators
    • T. Kato, Perturbation Thoery for Linear Operators, Grundlehren Math. Wiss. 132 (1966), Springer.
    • (1966) Grundlehren Math. Wiss , vol.132
    • Kato, T.1
  • 6
    • 0000983845 scopus 로고
    • Ergodicité et mesures invariantes pour les transformations dilatantes par morceaux d’une région bornée du plan
    • G. Keller, Ergodicité et mesures invariantes pour les transformations dilatantes par morceaux d’une région bornée du plan, C. R. Acad. Sci. Paris 289 (1979), 625-627.
    • (1979) C. R. Acad. Sci. Paris , vol.289 , pp. 625-627
    • Keller, G.1
  • 7
    • 84966227493 scopus 로고
    • On the existence of invariant measures for piecewise monotonic transformations
    • A. Lasota and J. A. Yorke, On the existence of invariant measures for piecewise monotonic transformations, Trans. Amer. Math. Soc. 186 (1973), 481-488.
    • (1973) Trans. Amer. Math. Soc , vol.186 , pp. 481-488
    • Lasota, A.1    Yorke, J.A.2
  • 8
    • 84972510523 scopus 로고
    • On the decay of correlation for piecewise monotonic mappings I
    • M. Mori, On the decay of correlation for piecewise monotonic mappings I, Tokyo J. Math. 8 (1985), 389-414.
    • (1985) Tokyo J. Math , vol.8 , pp. 389-414
    • Mori, M.1
  • 9
    • 84972488061 scopus 로고
    • On the decay of correlation for piecewise monotonic mappings II
    • M. Mori, On the decay of correlation for piecewise monotonic mappings II, Tokyo J. Math. 9 (1986), 135-161.
    • (1986) Tokyo J. Math , vol.9 , pp. 135-161
    • Mori, M.1
  • 10
    • 84972581002 scopus 로고
    • Fredholm determinant for piecewise linear transformations
    • M. Mori, Fredholm determinant for piecewise linear transformations, Osaka J. Math. 27 (1990), 81-116.
    • (1990) Osaka J. Math , vol.27 , pp. 81-116
    • Mori, M.1
  • 11
    • 84972572105 scopus 로고
    • Fredholm determinant for piecewise monotonic transformations
    • M. Mori, Fredholm determinant for piecewise monotonic transformations, Osaka J. Math. 29 (1992), 497-529.
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    • Mori, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.