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Volumn 31, Issue 5-6, 1998, Pages 765-777

A convergence rate analysis for Markov finite approximations to a class of Frobenius-Perron operators

Author keywords

Frobenius Perron operators; Invariant measures

Indexed keywords

APPROXIMATION THEORY; FUNCTIONS; MARKOV PROCESSES; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; PIECEWISE LINEAR TECHNIQUES; POLYNOMIALS; SET THEORY; THEOREM PROVING;

EID: 0032011542     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00438-0     Document Type: Article
Times cited : (29)

References (11)
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    • Li, T. Y., Finite approximation for the Frobenius-Perron operator, a solution to Ulam's conjecture. J. Approx. Theory, 1996, 17, 177-186.
    • (1996) J. Approx. Theory , vol.17 , pp. 177-186
    • Li, T.Y.1
  • 4
    • 35348824169 scopus 로고
    • High order approximation of the Frobenius-Perron operator
    • Ding, J., Du, Q. and Li, T. Y., High order approximation of the Frobenius-Perron operator. Applied Math. Compt., 1993, 53, 151-171.
    • (1993) Applied Math. Compt. , vol.53 , pp. 151-171
    • Ding, J.1    Du, Q.2    Li, T.Y.3
  • 5
    • 0000413668 scopus 로고
    • Markov finite approximations of Frobenius-Perron operator equations
    • Ding, J. and Li, T. Y., Markov finite approximations of Frobenius-Perron operator equations. Nonlinear Analysis, 1991, 17(8), 759-772.
    • (1991) Nonlinear Analysis , vol.17 , Issue.8 , pp. 759-772
    • Ding, J.1    Li, T.Y.2
  • 6
    • 0000719291 scopus 로고
    • Piecewise linear Markov approximations of Frobenius-Perron operators associated with multi-dimensional transformations
    • Ding, J. and Zhou, A., Piecewise linear Markov approximations of Frobenius-Perron operators associated with multi-dimensional transformations. Nonlinear Analysis, 1995, 25(5), 399-408.
    • (1995) Nonlinear Analysis , vol.25 , Issue.5 , pp. 399-408
    • Ding, J.1    Zhou, A.2
  • 7
    • 0001008055 scopus 로고
    • The spectral analysis of Frobenius-Perron operators
    • Ding, J., Du, Q. and Li, T. Y., The spectral analysis of Frobenius-Perron operators. J. Math. Anal. Appl., 1994, 184(2), 285-301.
    • (1994) J. Math. Anal. Appl. , vol.184 , Issue.2 , pp. 285-301
    • Ding, J.1    Du, Q.2    Li, T.Y.3
  • 8
    • 0003289294 scopus 로고
    • Error estimates of the Markov finite approximation of the Frobenius-Perron operator
    • Chiu, C., Du, Q. and Li, T. Y., Error estimates of the Markov finite approximation of the Frobenius-Perron operator. Nonlinear Analysis, 1992, 19(5), 291-308.
    • (1992) Nonlinear Analysis , vol.19 , Issue.5 , pp. 291-308
    • Chiu, C.1    Du, Q.2    Li, T.Y.3
  • 9
    • 0001664734 scopus 로고
    • On the approximation of invariant measures
    • Hunt, F. and Miller, W., On the approximation of invariant measures. J. Stat. Phys., 1992, 66, 535-548.
    • (1992) J. Stat. Phys. , vol.66 , pp. 535-548
    • Hunt, F.1    Miller, W.2
  • 10
    • 84966227493 scopus 로고
    • On the existence of invariant measures for piecewise monotonic transformations
    • Lasota, A. and Yorke, J. A., On the existence of invariant measures for piecewise monotonic transformations. Trans. Amer. Math. Soc., 1973, 183, 481-488.
    • (1973) Trans. Amer. Math. Soc. , vol.183 , pp. 481-488
    • Lasota, A.1    Yorke, J.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.