-
2
-
-
0038057483
-
Anomalous diffusion in infinite horizon billiards
-
D. N. Armstead, B. R. Hunt and E. Ott. Anomalous diffusion in infinite horizon billiards. Phys. Rev. E 67 (2003), 021110.
-
(2003)
Phys. Rev. e
, vol.67
, pp. 021110
-
-
Armstead, D.N.1
Hunt, B.R.2
Ott, E.3
-
3
-
-
54949157158
-
Decay of correlations and invariance principles for dispersing billiards with cusps, and related planar billiard flows
-
P. Bálint and I. Melbourne. Decay of correlations and invariance principles for dispersing billiards with cusps, and related planar billiard flows. J. Stat. Phys. 133 (2008), 435-447.
-
(2008)
J. Stat. Phys.
, vol.133
, pp. 435-447
-
-
Bálint, P.1
Melbourne, I.2
-
5
-
-
0040801873
-
Markov extensions and decay of correlations for certain Hénon maps
-
M. Benedicks and L.-S. Young. Markov extensions and decay of correlations for certain Hénon maps. Ast́erisque 261 (2000), 13-56.
-
(2000)
Ast́erisque
, vol.261
, pp. 13-56
-
-
Benedicks, M.1
Young, L.-S.2
-
6
-
-
0001007401
-
The Lindeberg-Lévy theorem for martingales
-
P. Billingsley. The Lindeberg-Lévy theorem for martingales. Proc. Amer. Math. Soc. 12 (1961), 788-792.
-
(1961)
Proc. Amer. Math. Soc.
, vol.12
, pp. 788-792
-
-
Billingsley, P.1
-
7
-
-
0001300739
-
Markov partitions for Axiom A diffeomorphisms
-
R. Bowen. Markov partitions for Axiom A diffeomorphisms. Amer. J. Math. 92 (1970), 725-747.
-
(1970)
Amer. J. Math.
, vol.92
, pp. 725-747
-
-
Bowen, R.1
-
9
-
-
84860718603
-
The ergodic properties of billiards that are nearly scattering
-
L. A. Bunimovic. The ergodic properties of billiards that are nearly scattering. Dokl. Akad. Nauk SSSR 211 (1973), 1024-1026.
-
(1973)
Dokl. Akad. Nauk SSSR
, vol.211
, pp. 1024-1026
-
-
Bunimovic, L.A.1
-
10
-
-
0002455942
-
Distribution function inequalities for martingales
-
D. L. Burkholder. Distribution function inequalities for martingales. Ann. Probab. 1 (1973), 19-42.
-
(1973)
Ann. Probab.
, vol.1
, pp. 19-42
-
-
Burkholder, D.L.1
-
11
-
-
0033074305
-
Decay of correlations and dispersing billiards
-
N. Chernov. Decay of correlations and dispersing billiards. J. Stat. Phys. 94 (1999), 513-556.
-
(1999)
J. Stat. Phys.
, vol.94
, pp. 513-556
-
-
Chernov, N.1
-
12
-
-
33846785263
-
Dispersing billiards with cusps: Slow decay of correlations
-
N. Chernov and R. Markarian. Dispersing billiards with cusps: slow decay of correlations. Comm. Math. Phys. 270 (2007), 727-758.
-
(2007)
Comm. Math. Phys.
, vol.270
, pp. 727-758
-
-
Chernov, N.1
Markarian, R.2
-
13
-
-
33746318364
-
A family of chaotic billiards with variable mixing rates
-
DOI 10.1142/S0219493705001572, PII S0219493705001572
-
N. Chernov and H.-K. Zhang. A family of chaotic billiards with variable mixing rates. Stoch. Dyn. 5 (2005), 535-553. (Pubitemid 44103047)
-
(2005)
Stochastics and Dynamics
, vol.5
, Issue.4
, pp. 535-553
-
-
Chernov, N.1
Zhang, H.-K.2
-
14
-
-
21244475162
-
Billiards with polynomial mixing rates
-
DOI 10.1088/0951-7715/18/4/006, PII S0951771505839945
-
N. I. Chernov and H.-K. Zhang. Billiards with polynomial mixing rates. Nonlinearity 18 (2005), 1527-1553. (Pubitemid 40900799)
-
(2005)
Nonlinearity
, vol.18
, Issue.4
, pp. 1527-1553
-
-
Chernov, N.1
Zhang, H.-K.2
-
15
-
-
36448967888
-
Improved estimates for correlations in billiards
-
N. I. Chernov and H.-K. Zhang. Improved estimates for correlations in billiards. Comm. Math. Phys. 77 (2008), 305-321.
-
(2008)
Comm. Math. Phys.
, vol.77
, pp. 305-321
-
-
Chernov, N.I.1
Zhang, H.-K.2
-
18
-
-
0037331481
-
Decay of correlations, central limit theorems and approximation by Brownian motion for compact Lie group extensions
-
DOI 10.1017/S0143385702000901
-
M. J. Field, I. Melbourne and A. Török. Decay of correlations, central limit theorems and approximation by Brownian motion for compact Lie group extensions. Ergod. Th. & Dynam. Sys. 23 (2003), 87-110. (Pubitemid 36263860)
-
(2003)
Ergodic Theory and Dynamical Systems
, vol.23
, Issue.1
, pp. 87-110
-
-
Field, M.1
Melbourne, I.2
Torok, A.3
-
19
-
-
0000282259
-
The central limit theorem for stationary processes
-
M. I. Gordin. The central limit theorem for stationary processes. Soviet Math. Dokl. 10 (1969), 1174-1176.
-
(1969)
Soviet Math. Dokl.
, vol.10
, pp. 1174-1176
-
-
Gordin, M.I.1
-
20
-
-
1842425473
-
Sharp polynomial estimates for the decay of correlations
-
S. Gouëzel. Sharp polynomial estimates for the decay of correlations. Israel J. Math. 139 (2004), 29-65. (Pubitemid 38421967)
-
(2004)
Israel Journal of Mathematics
, vol.139
, pp. 29-65
-
-
Gouezel, S.1
-
22
-
-
44649148495
-
Central limit theorems and invariance principles for Lorenz attractors
-
M. Holland and I. Melbourne. Central limit theorems and invariance principles for Lorenz attractors. J. Lond. Math. Soc. 76 (2007), 345-364.
-
(2007)
J. Lond. Math. Soc.
, vol.76
, pp. 345-364
-
-
Holland, M.1
Melbourne, I.2
-
24
-
-
0000241853
-
Deterministic nonperiodic flow
-
E. D. Lorenz. Deterministic nonperiodic flow. J. Atmospheric Sci. 20 (1963), 130-141.
-
(1963)
J. Atmospheric Sci.
, vol.20
, pp. 130-141
-
-
Lorenz, E.D.1
-
25
-
-
45849092922
-
Thermodynamics, dimension and the Weil-Petersson metric
-
C. McMullen. Thermodynamics, dimension and the Weil-Petersson metric. Invent. Math. 173 (2008), 365-425.
-
(2008)
Invent. Math.
, vol.173
, pp. 365-425
-
-
McMullen, C.1
-
26
-
-
58849151765
-
Decay of correlations for slowly mixing flows
-
I. Melbourne. Decay of correlations for slowly mixing flows. Proc. Lond. Math. Soc. 98 (2009), 163-190.
-
(2009)
Proc. Lond. Math. Soc.
, vol.98
, pp. 163-190
-
-
Melbourne, I.1
-
27
-
-
25444432774
-
Almost sure invariance principle for nonuniformly hyperbolic systems
-
DOI 10.1007/s00220-005-1407-5
-
I. Melbourne and M. Nicol. Almost sure invariance principle for nonuniformly hyperbolic systems. Comm. Math. Phys. 260 (2005), 131-146. (Pubitemid 41374320)
-
(2005)
Communications in Mathematical Physics
, vol.260
, Issue.1
, pp. 131-146
-
-
Melbourne, I.1
Nicol, M.2
-
28
-
-
67650711180
-
Large deviations for nonuniformly hyperbolic systems
-
I. Melbourne and M. Nicol. Large deviations for nonuniformly hyperbolic systems. Trans. Amer. Math. Soc. 360 (2008), 6661-6676.
-
(2008)
Trans. Amer. Math. Soc.
, vol.360
, pp. 6661-6676
-
-
Melbourne, I.1
Nicol, M.2
-
29
-
-
14644396555
-
Statistical limit theorems for suspension flows
-
I. Melbourne and A. Török. Statistical limit theorems for suspension flows. Israel J. Math. 144 (2004), 191-209. (Pubitemid 40317781)
-
(2004)
Israel Journal of Mathematics
, vol.144
, pp. 191-209
-
-
Melbourne, I.1
Torok, A.2
-
30
-
-
51949087114
-
Recent advances in invariance principles for stationary sequences
-
electronic
-
F. Merlevède, M. Peligrad and S. Utev. Recent advances in invariance principles for stationary sequences. Probab. Surv. 3 (2006), 1-36 (electronic).
-
(2006)
Probab. Surv.
, vol.3
, pp. 1-36
-
-
Merlevède, F.1
Peligrad, M.2
Utev, S.3
-
31
-
-
84860732872
-
Zeta Functions and the Periodic Orbit Structure of Hyperbolic Dynamics (Ast́erisque 187-188)
-
W. Parry and M. Pollicott. Zeta Functions and the Periodic Orbit Structure of Hyperbolic Dynamics (Ast́erisque, 187-188). Société Mathématique de France, Montrouge, 1990.
-
(1990)
Société Mathématique de France Montrouge
-
-
Parry, W.1
Pollicott, M.2
-
32
-
-
17044374336
-
On the rate of mixing of Axiom A flows
-
M. Pollicott. On the rate of mixing of Axiom A flows. Invent. Math. 81 (1985), 413-426.
-
(1985)
Invent. Math.
, vol.81
, pp. 413-426
-
-
Pollicott, M.1
-
33
-
-
34250254669
-
Intermittent transition to turbulence in dissipative dynamical systems
-
Y. Pomeau and P. Manneville. Intermittent transition to turbulence in dissipative dynamical systems. Comm. Math. Phys. 74 (1980), 189-197.
-
(1980)
Comm. Math. Phys.
, vol.74
, pp. 189-197
-
-
Pomeau, Y.1
Manneville, P.2
-
34
-
-
51649190511
-
The central limit theorem for geodesic flows on n-dimensional manifolds of negative curvature
-
M. Ratner. The central limit theorem for geodesic flows on n-dimensional manifolds of negative curvature. Israel J. Math. 16 (1973), 181-197.
-
(1973)
Israel J. Math.
, vol.16
, pp. 181-197
-
-
Ratner, M.1
-
37
-
-
0036027231
-
Subexponential decay of correlations
-
O. M. Sarig. Subexponential decay of correlations. Invent. Math. 150 (2002), 629-653.
-
(2002)
Invent. Math.
, vol.150
, pp. 629-653
-
-
Sarig, O.M.1
-
38
-
-
0010871751
-
Moment inequalities for the maximum cumulative sum
-
R. J. Serfling. Moment inequalities for the maximum cumulative sum. Ann. Math. Statist. 41 (1970), 1227-1234.
-
(1970)
Ann. Math. Statist.
, vol.41
, pp. 1227-1234
-
-
Serfling, R.J.1
-
39
-
-
84956071330
-
Gibbs measures in ergodic theory
-
Y. G. Sina. Gibbs measures in ergodic theory. Russian Math. Surveys 27 (1972), 21-70.
-
(1972)
Russian Math. Surveys
, vol.27
, pp. 21-70
-
-
Sina, Y.G.1
-
40
-
-
34548648549
-
Limit laws and recurrence for the planar Lorentz process with infinite horizon
-
D. Szász and T. Varjú. Limit laws and recurrence for the planar Lorentz process with infinite horizon. J. Stat. Phys. 129 (2007), 59-80.
-
(2007)
J. Stat. Phys.
, vol.129
, pp. 59-80
-
-
Szász, D.1
Varjú, T.2
-
41
-
-
0002061016
-
A rigorous ODE solver and Smale's 14th problem
-
W. Tucker. A rigorous ODE solver and Smale's 14th problem. Found. Comput. Math. 2 (2002), 53-117.
-
(2002)
Found. Comput. Math.
, vol.2
, pp. 53-117
-
-
Tucker, W.1
-
42
-
-
0032348050
-
Statistical properties of dynamical systems with some hyperbolicity
-
L.-S. Young. Statistical properties of dynamical systems with some hyperbolicity. Ann. of Math. (2) 147 (1998), 585-650.
-
(1998)
Ann. of Math. (2)
, vol.147
, pp. 585-650
-
-
Young, L.-S.1
-
43
-
-
0001396372
-
Recurrence times and rates of mixing
-
L.-S. Young. Recurrence times and rates of mixing. Israel J. Math. 110 (1999), 153-188.
-
(1999)
Israel J. Math.
, vol.110
, pp. 153-188
-
-
Young, L.-S.1
-
44
-
-
0043225299
-
Ergodic structure and invariant densities of non-Markovian interval maps with indifferent fixed points
-
R. Zweimüller. Ergodic structure and invariant densities of non-Markovian interval maps with indifferent fixed points. Nonlinearity 11 (1998), 1263-1276.
-
(1998)
Nonlinearity
, vol.11
, pp. 1263-1276
-
-
Zweimüller, R.1
-
45
-
-
17644437256
-
Ergodic properties of infinite measure-preserving interval maps with indifferent fixed points
-
R. Zweimüller. Ergodic properties of infinite measure-preserving interval maps with indifferent fixed points. Ergod. Th. & Dynam. Sys. 20 (2000), 1519-1549.
-
(2000)
Ergod. Th. & Dynam. Sys.
, vol.20
, pp. 1519-1549
-
-
Zweimüller, R.1
|