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Volumn 7, Issue 1, 2001, Pages 219-235

The exact rate of approximation in Ulam's method

Author keywords

Approximation of Absolutely Continuous Invariant Measures; Interval Maps; L1 Error Bounds; Perron Frobenius Operator

Indexed keywords


EID: 0035628627     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2001.7.219     Document Type: Article
Times cited : (53)

References (15)
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  • 4
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    • A Convergence Rate Analysis for Markov Finite Approximation to a Class of Frobenius-Perron Operators
    • J. Ding and T-Y. Li, A Convergence Rate Analysis For Markov Finite Approximation to a Class of Frobenius-Perron Operators, Nonlinear Analysis (5/6) 31 (1998), 765-776.
    • (1998) Nonlinear Analysis (5/6) , vol.31 , pp. 765-776
    • Ding, J.1    Li, T.-Y.2
  • 5
    • 0041051009 scopus 로고    scopus 로고
    • Estimating Invariant Measures and Lyapunov Exponents
    • B. Hunt, Estimating Invariant Measures and Lyapunov Exponents, Ergodic Theory & Dynamical Systems 16 (1996), 735-749.
    • (1996) Ergodic Theory & Dynamical Systems , vol.16 , pp. 735-749
    • Hunt, B.1
  • 6
    • 0000668794 scopus 로고
    • A Monte-Carlo Approach to the Approximation of Invariant Measures
    • F. Hunt, A Monte-Carlo Approach to the Approximation of Invariant Measures, Random and Computational Dynamics (1) 2 (1994), 111-133.
    • (1994) Random and Computational Dynamics (1) , vol.2 , pp. 111-133
    • Hunt, F.1
  • 7
    • 0001386063 scopus 로고
    • Theorie Ergodique pour des Classes d'Operations Non-Completement Continues
    • C. T. Ionescu-Tulcea and G. Marinescu, Theorie Ergodique pour des Classes d'Operations Non-Completement Continues, Ann. of Math. 52 (1950), 140-147.
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    • Ionescu-Tulcea, C.T.1    Marinescu, G.2
  • 8
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    • Stochastic Stability in Some Chaotic Dynamical Systems
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    • Keller, G.1
  • 9
    • 0001062377 scopus 로고
    • Finite Approximation for the Perron-Frobenius Operator, A Solution to Ulam's Conjecture
    • T-Y. Li, Finite Approximation for the Perron-Frobenius Operator, A Solution to Ulam's Conjecture, Journal of Approximation Theory 17 (1976), 177-186.
    • (1976) Journal of Approximation Theory , vol.17 , pp. 177-186
    • Li, T.-Y.1
  • 11
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    • 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.
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  • 14
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    • to appear: Nonlinear Analysis
    • d, to appear: Nonlinear Analysis, 2000.
    • (2000) D
    • Murray, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.