메뉴 건너뛰기




Volumn 24, Issue 4, 2011, Pages 1361-1367

A note on diffusion limits of chaotic skew-product flows

Author keywords

[No Author keywords available]

Indexed keywords


EID: 79952967698     PISSN: 09517715     EISSN: 13616544     Source Type: Journal    
DOI: 10.1088/0951-7715/24/4/018     Document Type: Article
Times cited : (92)

References (31)
  • 1
    • 0003407041 scopus 로고    scopus 로고
    • (Wiley Series in Probability and Statistics: Probability and Statistics) (New York: Wiley)
    • Billingsley P 1999 Convergence of Probability Measures (Wiley Series in Probability and Statistics: Probability and Statistics) (New York: Wiley)
    • (1999) Convergence of Probability Measures
    • Billingsley, P.1
  • 2
    • 0004302610 scopus 로고
    • New York: Wiley-Interscience
    • Billingsley P 1995 Probability and Measure (Wiley Series in Probability and Mathematical Statistics) 3rd edn (New York: Wiley-Interscience)
    • (1995) Probability and Measure
    • Billingsley, P.1
  • 3
    • 25444432774 scopus 로고    scopus 로고
    • Almost sure invariance principle for nonuniformly hyperbolic systems
    • DOI 10.1007/s00220-005-1407-5
    • Melbourne I and Nicol M 2005 Almost sure invariance principle for nonuniformly hyperbolic systems Commun. Math. Phys. 260 131-46 (Pubitemid 41374320)
    • (2005) Communications in Mathematical Physics , vol.260 , Issue.1 , pp. 131-146
    • Melbourne, I.1    Nicol, M.2
  • 4
    • 67650711180 scopus 로고    scopus 로고
    • Large deviations for nonuniformly hyperbolic systems
    • Melbourne I and Nicol M 2008 Large deviations for nonuniformly hyperbolic systems Trans. Am. Math. Soc. 360 6661-76
    • (2008) Trans. Am. Math. Soc. , vol.360 , Issue.12 , pp. 6661-6676
    • Melbourne, I.1    Nicol, M.2
  • 5
    • 0032348050 scopus 로고    scopus 로고
    • Statistical properties of dynamical systems with some hyperbolicity
    • Young L-S 1998 Statistical properties of dynamical systems with some hyperbolicity Ann. Math. 147 585-650
    • (1998) Ann. Math. , vol.147 , Issue.3 , pp. 585-650
    • Young, L.-S.1
  • 6
    • 0001396372 scopus 로고    scopus 로고
    • Recurrence times and rates of mixing
    • Young L-S 1999 Recurrence times and rates of mixing Israel J. Math. 110 153-88
    • (1999) Israel J. Math. , vol.110 , Issue.1 , pp. 153-188
    • Young, L.-S.1
  • 7
    • 44649148495 scopus 로고    scopus 로고
    • Central limit theorems and invariance principles for Lorenz attractors
    • Holland M and Melbourne I 2007 Central limit theorems and invariance principles for Lorenz attractors J. Lond. Math. Soc. 76 345-64
    • (2007) J. Lond. Math. Soc. , vol.76 , Issue.2 , pp. 345-364
    • Holland, M.1    Melbourne, I.2
  • 8
    • 0000241853 scopus 로고
    • Deterministic nonperiodic flow
    • Lorenz E D 1963 Deterministic nonperiodic flow J. Atmos. Sci. 20 130-41
    • (1963) J. Atmos. Sci. , vol.20 , Issue.2 , pp. 130-141
    • Lorenz, E.D.1
  • 9
    • 14644396555 scopus 로고    scopus 로고
    • Statistical limit theorems for suspension flows
    • Melbourne I and Török A 2004 Statistical limit theorems for suspension flows Israel J. Math. 144 191-209
    • (2004) Israel J. Math. , vol.144 , Issue.2 , pp. 191-209
    • Melbourne I, T.1
  • 10
    • 3042793188 scopus 로고    scopus 로고
    • Extracting macroscopic dynamics: Model problems and algorithms
    • Givon D, Kupferman R and Stuart A M 2004 Extracting macroscopic dynamics: model problems and algorithms Nonlinearity 17 R55-127
    • (2004) Nonlinearity , vol.17 , Issue.6 , pp. 55-127
    • Givon, D.1    Kupferman, R.2    Stuart, A.M.3
  • 11
    • 6144273098 scopus 로고
    • Statistical mechanics of assemblies of coupled oscillators
    • Ford G W, Kac M and Mazur P 1965 Statistical mechanics of assemblies of coupled oscillators J. Math. Phys. 6 504-15
    • (1965) J. Math. Phys. , vol.6 , Issue.4 , pp. 504-515
    • Ford, G.W.1    Kac, M.2    Mazur, P.3
  • 12
    • 0347975177 scopus 로고    scopus 로고
    • Long-term behaviour of large mechanical systems with random initial data
    • Kupferman R, Stuart A M, Terry J R and Tupper P F 2002 Long-term behaviour of large mechanical systems with random initial data Stochastics. Dyn. 2 533-62
    • (2002) Stochastics. Dyn. , vol.2 , Issue.4 , pp. 533-562
    • Kupferman, R.1    Stuart, A.M.2    Terry, J.R.3    Tupper, P.F.4
  • 13
    • 58149354466 scopus 로고    scopus 로고
    • A strong limit theorem in the kac-zwanzig model
    • Ariel G and Vanden-Eijnden E 2009 A strong limit theorem in the kac-zwanzig model Nonlinearity 22 145
    • (2009) Nonlinearity , vol.22 , Issue.1 , pp. 145
    • Ariel, G.1    Vanden-Eijnden, E.2
  • 14
    • 0001007175 scopus 로고
    • Brownian motion from deterministic dynamics
    • Beck C 1990 Brownian motion from deterministic dynamics Physica A 169 324-36
    • (1990) Physica , vol.169 , Issue.2 , pp. 324-336
    • Beck, C.1
  • 15
    • 0035918128 scopus 로고    scopus 로고
    • Stochastic modelling: Replacing fast degrees of freedom by noise
    • Just W, Kantz H, Rödenbeck Ch and Helm M 2001 Stochastic modelling: replacing fast degrees of freedom by noise J. Phys. A: Math. Gen. 34 3199-213
    • (2001) J. Phys. A: Math. Gen. , vol.34 , Issue.15 , pp. 3199-3213
    • Just W, K.1
  • 16
    • 0033751055 scopus 로고    scopus 로고
    • Remarkable statistical behavior for truncated Burgers-Hopf dynamics
    • Majda A J and Timofeyev I 2000 Remarkable statistical behavior for truncated Burgers-Hopf dynamics Proc. Natl Acad. Sci. USA 97 12413-17 (electronic)
    • (2000) Proc. Natl Acad. Sci. USA , vol.97 , Issue.23 , pp. 12413-12417
    • Majda, A.J.1    Timofeyev, I.2
  • 17
    • 33645101025 scopus 로고    scopus 로고
    • Stochastic models for selected slow variables in large deterministic systems
    • DOI 10.1088/0951-7715/19/4/001, PII S0951771506000144
    • Majda A M, Timofeyev I and Vanden-Eijnden E 2006 Stochastic models for selected slow variables in large deterministic systems Nonlinearity 19 769-94 (Pubitemid 43432186)
    • (2006) Nonlinearity , vol.19 , Issue.4 , pp. 769-794
    • Majda, A.1    Timofeyev, I.2    Vanden-Eijnden, E.3
  • 19
    • 84980152442 scopus 로고
    • Asymptotic theory of mixing stochastic ordinary differential equations
    • Papanicolaou G C and Kohler W 1974 Asymptotic theory of mixing stochastic ordinary differential equations Commun. Pure Appl. Math. 27 641-68
    • (1974) Commun. Pure Appl. Math. , vol.27 , Issue.5 , pp. 641-668
    • Papanicolaou, G.C.1    Kohler, W.2
  • 20
    • 53949097301 scopus 로고    scopus 로고
    • Averaging and invariant measures
    • Dolgopyat D 2005 Averaging and invariant measures Moscow Math. J. 5 537-76
    • (2005) Moscow Math. J. , vol.5 , pp. 537-576
    • Dolgopyat, D.1
  • 21
    • 0032365170 scopus 로고    scopus 로고
    • Markov approximations and decay of correlations for Anosov flows
    • Chernov N I 1998 Markov approximations and decay of correlations for Anosov flows Ann. Math. 147 269-324
    • (1998) Ann. Math. , vol.147 , Issue.2 , pp. 269-324
    • Chernov, N.I.1
  • 22
    • 0032389434 scopus 로고    scopus 로고
    • On the decay of correlations in Anosov flows
    • Dolgopyat D 1998 On the decay of correlations in Anosov flows Ann. Math. 147 357-90
    • (1998) Ann. Math. , vol.147 , Issue.2 , pp. 357-390
    • Dolgopyat, D.1
  • 23
    • 14544287674 scopus 로고    scopus 로고
    • On contact Anosov flows
    • Liverani C 2004 On contact Anosov flows Ann. Math. 159 1275-312 (Pubitemid 40306383)
    • (2004) Annals of Mathematics , vol.159 , Issue.3 , pp. 1275-1312
    • Liverani, C.1
  • 24
    • 0032333778 scopus 로고    scopus 로고
    • Prevalence of rapid mixing in hyperbolic flows
    • Dolgopyat D 1998 Prevalence of rapid mixing in hyperbolic flows Ergod. Theory Dyn. Syst. 18 1097-114
    • (1998) Ergod. Theory Dyn. Syst. , vol.18 , Issue.5 , pp. 1097-1114
    • Dolgopyat, D.1
  • 25
    • 34548276194 scopus 로고    scopus 로고
    • Stability of mixing and rapid mixing for hyperbolic flows
    • Field M J, Melbourne I and Török A 2007 Stability of mixing and rapid mixing for hyperbolic flows Ann. Math. 166 269-91
    • (2007) Ann. Math. , vol.166 , Issue.1 , pp. 269-291
    • Field M J, M.1
  • 26
    • 44649191207 scopus 로고    scopus 로고
    • Rapid decay of correlations for nonuniformly hyperbolic flows
    • Melbourne I 2007 Rapid decay of correlations for nonuniformly hyperbolic flows Trans. Am. Math. Soc. 359 2421-41
    • (2007) Trans. Am. Math. Soc. , vol.359 , Issue.5 , pp. 2421-2441
    • Melbourne, I.1
  • 27
    • 58849151765 scopus 로고    scopus 로고
    • Decay of correlations for slowly mixing flows
    • Melbourne I 2009 Decay of correlations for slowly mixing flows Proc. Lond. Math. Soc. 98 163-90
    • (2009) Proc. Lond. Math. Soc. , vol.98 , Issue.1 , pp. 163-190
    • Melbourne, I.1
  • 29
    • 0002801174 scopus 로고
    • On the gap between deterministic and stochastic ordinary differential equations
    • Sussmann H 1978 On the gap between deterministic and stochastic ordinary differential equations Ann. Probab. 6 19-41
    • (1978) Ann. Probab. , vol.6 , Issue.1 , pp. 19-41
    • Sussmann, H.1
  • 30
    • 0032347402 scopus 로고    scopus 로고
    • Differential equations driven by rough signals
    • Lyons T J 1998 Differential equations driven by rough signals Rev. Mat. Iberoamericana 14 215-310
    • (1998) Rev. Mat. Iberoamericana , vol.14 , pp. 215-310
    • Lyons, T.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.