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Volumn 83, Issue 3-4, 1996, Pages 623-635

Computing invariant measures of piecewise convex transformations

Author keywords

Frobenius Perron operator; Invariant measure

Indexed keywords


EID: 0030525710     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02183742     Document Type: Article
Times cited : (12)

References (17)
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    • Baladi, V.1    Isola, S.2    Schmitt, B.3
  • 2
    • 0003289294 scopus 로고
    • Error estimates of the Markov finite approximation of the Frobenius-Perron operator
    • C. Chiu, Q. Du, and T. Y. Li, Error estimates of the Markov finite approximation of the Frobenius-Perron operator, Nonlinear Analysis TMA 19(4):291-308 (1992).
    • (1992) Nonlinear Analysis TMA , vol.19 , Issue.4 , pp. 291-308
    • Chiu, C.1    Du, Q.2    Li, T.Y.3
  • 4
    • 35348824169 scopus 로고
    • High order approximation of the Frobenius-Perron operator
    • J. Ding, Q. Du, and T. Y. Li, High order approximation of the Frobenius-Perron operator, Appl. Math. Comput. 53:151-171 (1993).
    • (1993) Appl. Math. Comput. , vol.53 , pp. 151-171
    • Ding, J.1    Du, Q.2    Li, T.Y.3
  • 5
    • 0000413668 scopus 로고
    • Markov finite approximation of Frobenius-Perron operator
    • J. Ding and T. Y. Li, Markov finite approximation of Frobenius-Perron operator, Nonlinear Analysis TMA 17(8):759-772 (1991).
    • (1991) Nonlinear Analysis TMA , vol.17 , Issue.8 , pp. 759-772
    • Ding, J.1    Li, T.Y.2
  • 6
    • 0001343248 scopus 로고
    • Projection solutions of the Frobenius-Perron operator equations
    • J. Ding and T. Y. Li, Projection solutions of the Frobenius-Perron operator equations, Int. J. Math. Math. Sci. 16(3):465-484 (1993).
    • (1993) Int. J. Math. Math. Sci. , vol.16 , Issue.3 , pp. 465-484
    • Ding, J.1    Li, T.Y.2
  • 8
    • 0001664734 scopus 로고
    • On the approximation of invariant measures
    • F. Hunt and W. Miller, On the approximation of invariant measures, J. Stat. Phys. 66:535-548 (1992).
    • (1992) J. Stat. Phys. , vol.66 , pp. 535-548
    • Hunt, F.1    Miller, W.2
  • 9
    • 0020138838 scopus 로고
    • Piecewise polynomial Galerkin approximation to invariant densities of one-dimensional difference equations
    • T. Kohda and K. Murao, Piecewise polynomial Galerkin approximation to invariant densities of one-dimensional difference equations, Electronics Commun. Japan 65-A(6):1-11 (1988).
    • (1988) Electronics Commun. Japan , vol.65 A , Issue.6 , pp. 1-11
    • Kohda, T.1    Murao, K.2
  • 11
    • 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. Am. Math. Soc. 186:481-488 (1973).
    • (1973) Trans. Am. Math. Soc. , vol.186 , pp. 481-488
    • Lasota, A.1    Yorke, J.A.2
  • 12
    • 0000691320 scopus 로고
    • Exact dynamical systems and the Frobenius-Perron operator
    • A. Lasota and J. A. Yorke, Exact dynamical systems and the Frobenius-Perron operator, Trans. Am. Math. Soc. 273:375-384 (1982).
    • (1982) Trans. Am. Math. Soc. , vol.273 , pp. 375-384
    • Lasota, A.1    Yorke, J.A.2
  • 13
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    • Finite approximation for the Frobenius-Perron operator, a solution to Ulam's conjecture
    • T. Y. Li, Finite approximation for the Frobenius-Perron operator, a solution to Ulam's conjecture, J. Approx. Theory 17:177-186 (1976).
    • (1976) J. Approx. Theory , vol.17 , pp. 177-186
    • Li, T.Y.1
  • 15
    • 85204092477 scopus 로고
    • Stability and approximation of invariant measures for a class of non-expanding transformations
    • W. M. Miller, Stability and approximation of invariant measures for a class of non-expanding transformations, Nonlinear Analysis TMA (1995).
    • (1995) Nonlinear Analysis TMA
    • Miller, W.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.