-
1
-
-
0003407041
-
-
(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
-
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
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