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Volumn 124, Issue 2, 2002, Pages 151-177

Limit theorems for coupled analytic maps

Author keywords

Central Limit Theorem; Coupled map lattices; Large Deviations Principle; Moderate Deviations Principle; Transfer operators

Indexed keywords


EID: 0035981341     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400200206     Document Type: Article
Times cited : (9)

References (23)
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  • 6
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    • (1996) Commun. Math. Phys. , vol.178 , Issue.3 , pp. 703-732
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  • 7
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    • Etudes spectrales d'opérateurs de transfert et applications
    • Broise, A.: Transformations dilatantes de l'intervalle et théorèmes limites. In Etudes spectrales d'opérateurs de transfert et applications. Astérisque, 238, 1-109 (1996)
    • (1996) Astérisque , vol.238 , pp. 1-109
    • Broise, A.1
  • 8
    • 0001163022 scopus 로고
    • Spacetime chaos in coupled map lattices
    • Bunimovitch, L.A., Sinai, Ya.G.: Spacetime chaos in coupled map lattices. Nonlinearity, 1, 491-516 (1988)
    • (1988) Nonlinearity , vol.1 , pp. 491-516
    • Bunimovitch, L.A.1    Sinai, Ya.G.2
  • 12
    • 0034416777 scopus 로고    scopus 로고
    • Transfer operators for coupled analytic maps
    • Fischer, T., Rugh, H.H.: Transfer operators for coupled analytic maps. Ergodic Theory Dyn. Syst., 20(1), 109-143 (2000)
    • (2000) Ergodic Theory Dyn. Syst. , vol.20 , Issue.1 , pp. 109-143
    • Fischer, T.1    Rugh, H.H.2
  • 15
    • 0032071474 scopus 로고    scopus 로고
    • Equilibrium measures for coupled map lattices: Existence uniqueness and finite-dimensional approximations
    • Jiang, M., Pesin, Ya.B.: Equilibrium measures for coupled map lattices: existence uniqueness and finite-dimensional approximations. Commun. Math. Phys., 193(3), 675-711 (1998)
    • (1998) Commun. Math. Phys. , vol.193 , Issue.3 , pp. 675-711
    • Jiang, M.1    Pesin, Ya.B.2
  • 17
    • 84971957453 scopus 로고
    • Transfer operators for coupled map lattices
    • Keller, G., Künztle, M.: Transfer operators for coupled map lattices. Ergodic Theory Dyn. Syst., 12, 297-318 (1992)
    • (1992) Ergodic Theory Dyn. Syst. , vol.12 , pp. 297-318
    • Keller, G.1    Künztle, M.2
  • 18
    • 0001761189 scopus 로고    scopus 로고
    • Stochastic stability of weakly coupled lattice maps
    • Maes, C., Van Moffaert, A.: Stochastic stability of weakly coupled lattice maps. Nonlinearity, 10(3), 715-730 (1997)
    • (1997) Nonlinearity , vol.10 , Issue.3 , pp. 715-730
    • Maes, C.1    Van Moffaert, A.2
  • 19
    • 0000492905 scopus 로고
    • Space-time chaos in chains of weakly interacting hyperbolic mappings
    • Dynamical systems and statistical mechanics (Moscow 1991)
    • Pesin, Ya.B., Sinai, Ya.G.: Space-time chaos in chains of weakly interacting hyperbolic mappings. In Dynamical systems and statistical mechanics (Moscow 1991), Amer. Math. Soc., 165-198 (1991)
    • (1991) Amer. Math. Soc. , pp. 165-198
    • Pesin, Ya.B.1    Sinai, Ya.G.2
  • 21
    • 0000970410 scopus 로고
    • Un théorème de la limite locale pour une classe de transformations dilatantes et monotones par morceaux
    • Rousseau-Egele, J.: Un théorème de la limite locale pour une classe de transformations dilatantes et monotones par morceaux Ann. Probab., 11(3), 772-788 (1983)
    • (1983) Ann. Probab. , vol.11 , Issue.3 , pp. 772-788
    • Rousseau-Egele, J.1
  • 23
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    • Coupled maps and analytic function spaces
    • Preprint
    • Rugh, H.H.: Coupled maps and analytic function spaces. Preprint. Available on http://mpej.unige.ch/mp_arc/index-01.html 2001. To appear in Ann. Sci. Ec. Norm. Super
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    • Rugh, H.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.