-
1
-
-
0004034319
-
-
Springer, New York, MR1632623 99i:60131
-
Arnold, L. Random Dynamical Systems. Springer, New York, 1998. MR1632623 (99i:60131)
-
(1998)
Random Dynamical Systems
-
-
Arnold, L.1
-
5
-
-
0003411523
-
Ergodic theory. Translated from the Russian
-
by A. B. Sosinskii, Springer-Verlag, New York, MR832433 87f:28019
-
I. P. Cornfeld, S. V. Fomin, and Ya. G. Sinai. Ergodic theory. Translated from the Russian by A. B. Sosinskii. Fundamental Principles of Mathematical Sciences, 245. Springer-Verlag, New York, 1982. MR832433 (87f:28019)
-
(1982)
Fundamental Principles of Mathematical Sciences
, vol.245
-
-
Cornfeld, I.P.1
Fomin, S.V.2
Sinai, Ya.G.3
-
7
-
-
0346961357
-
Invariant manifolds for stochastic partial differential equations
-
DOI 10.1214/aop/1068646380
-
J. Duan, K. Lu, and B. Schmalfuss. Invariant manifolds for stochastic partial differential equations. Ann. Probab. 31(2003), no. 4, 2109-2135. MR2016614 (2004m:60136) (Pubitemid 37537585)
-
(2003)
Annals of Probability
, vol.31
, Issue.4
, pp. 2109-2135
-
-
Duan, J.1
Lu, K.2
Schmalfuss, B.3
-
8
-
-
8344235630
-
Stationary conjugation of flows for parabolic SPDEs with multiplicative noise and some applications
-
DOI 10.1081/SAP-200029481
-
F. Flandoli and H. Lisei. Stationary conjugation of flows for parabolic SPDEs with multiplicative noise and some applications. Stochastic Anal. Appl. 22(2004), no. 6, 1385-1420. MR2095065 (2005i:60118) (Pubitemid 39483482)
-
(2004)
Stochastic Analysis and Applications
, vol.22
, Issue.6
, pp. 1385-1420
-
-
Flandoli, F.1
Lisei, H.2
-
9
-
-
84921862731
-
Lyapunov indices of a product of random matrices
-
MR1040268 91j:60014
-
I. Y. Goldsheid and G. A. Margulis. Lyapunov indices of a product of random matrices. Russian Mathematical Surveys, 44:11-71, 1989. MR1040268 (91j:60014)
-
(1989)
Russian Mathematical Surveys
, vol.44
, pp. 11-71
-
-
Goldsheid, I.Y.1
Margulis, G.A.2
-
10
-
-
23044527501
-
Estimates for the principal spectrum point for certain time-dependent parabolic operators
-
Hutson, V. Shen, W., and Vickers, G. T. Estimates for the principal spectrum point for certain time-dependent parabolic operators, Proc. Amer. Math. Soc. 129(2000), no. 6, 1669-1679. MR1814096 (2001m:35243) (Pubitemid 33766226)
-
(2001)
Proceedings of the American Mathematical Society
, vol.129
, Issue.6
, pp. 1669-1679
-
-
Hutson, V.1
Shen, W.2
Vickers, G.T.3
-
11
-
-
0001884003
-
Ergodic properties of linear dynamical systems
-
MR871817 88a:58112
-
R. Johnson, K. Palmer, and G. R. Sell. Ergodic properties of linear dynamical systems. Siam J. Math. Anal., 18:1-33, 1987. MR871817 (88a:58112)
-
(1987)
Siam J. Math. Anal.
, vol.18
, pp. 1-33
-
-
Johnson, R.1
Palmer, K.2
Sell, G.R.3
-
12
-
-
0003346969
-
Perturbation theory for linear operators
-
Band, Springer-Verlag New York, Inc., New York, MR0203473 34:3324
-
T. Kato. Perturbation theory for linear operators. Die Grundlehren der mathematischen Wissenschaften, Band 132 Springer-Verlag New York, Inc., New York 1966. MR0203473 (34:3324)
-
(1966)
Die Grundlehren der Mathematischen Wissenschaften
, vol.132
-
-
Kato, T.1
-
13
-
-
0010094187
-
Random perturbations of dynamical systems
-
Birkhäuser Boston, Inc., Boston, MA, MR1015933 91e:58159
-
Y. Kifer. Random perturbations of dynamical systems, Progress in Probability and Statistics, 16, Birkhäuser Boston, Inc., Boston, MA, 1988. MR1015933 (91e:58159)
-
(1988)
Progress in Probability and Statistics
, vol.16
-
-
Kifer, Y.1
-
14
-
-
67649379084
-
Random dynamics
-
Elsevier B. V., Amsterdam, MR2186245 2008a:37002
-
Y. Kifer and Pei-Dong Liu Random dynamics. Handbook of dynamical systems. Vol. 1B, 379-499, Elsevier B. V., Amsterdam, 2006. MR2186245 (2008a:37002)
-
(2006)
Handbook of Dynamical Systems
, vol.1 B
, pp. 379-499
-
-
Kifer, Y.1
Liu, P.2
-
15
-
-
0004249068
-
Ergodic theorems
-
Berlin, MR797411 87i:28001
-
U. Krengel. Ergodic Theorems. Walter de Gruyter, Berlin, 1985. MR797411 (87i:28001)
-
(1985)
Walter de Gruyter
-
-
Krengel, U.1
-
16
-
-
0000305317
-
Quelques propriétés des exposants caractéristiques
-
Springer Lecture Notes in Mathematics, MR876081 88b:58081
-
F. Ledrappier. Quelques propriétés des exposants caractéristiques. École d'Été de Probabilités de Saint-Flour, page 305-396, 1984. Springer Lecture Notes in Mathematics, Volume 1097. MR876081 (88b:58081)
-
(1984)
École d'Été de Probabilités de Saint-Flour
, vol.1097
, pp. 305-396
-
-
Ledrappier, F.1
-
17
-
-
0003263856
-
Smooth ergodic theory of random dynamical systems
-
Springer-Verlag, Berlin, MR1369243 96m:58139
-
Liu, P.-D. and Qian, M. Smooth ergodic theory of random dynamical systems, Lecture Notes in Mathematics, 1606. Springer-Verlag, Berlin, 1995. MR1369243 (96m:58139)
-
(1995)
Lecture Notes in Mathematics
, vol.1606
-
-
Liu, P.-D.1
Qian, M.2
-
18
-
-
34247169952
-
Invariant manifolds for stochastic wave equations
-
MR2322020 2009c:37063
-
K. Lu and B. Schmalfuss. Invariant manifolds for stochastic wave equations. J. Differential Equations, 236(2007), no. 2, 460-492. MR2322020 (2009c:37063)
-
(2007)
J. Differential Equations
, vol.236
, Issue.2
, pp. 460-492
-
-
Lu, K.1
Schmalfuss, B.2
-
19
-
-
0001525304
-
Problème général de la stabilité du mouvement
-
Translation of the Russian edition, Kharkov 1892. Reprinted by Princetion University Press, Princeton, N. J., 1949 and 1952
-
M. A. Lyapunov. Problème général de la stabilité du mouvement. Annales Fac. Sciences Toulouse 9 (1907) (Translation of the Russian edition, Kharkov 1892). Reprinted by Princetion University Press, Princeton, N. J., 1949 and 1952.
-
(1907)
Annales Fac. Sciences Toulouse
, vol.9
-
-
Lyapunov, M.A.1
-
20
-
-
0000740518
-
Dimension formula for random transformations
-
MR953818 90e:58085
-
F. Ledrappier and L-S. Young. Dimension formula for random transformations. Comm. Math. Phys. 117(1988), 529-548. MR953818 (90e:58085)
-
(1988)
Comm. Math. Phys.
, vol.117
, pp. 529-548
-
-
Ledrappier, F.1
Young, L.-S.2
-
21
-
-
0001462759
-
Entropy formula for random transformations
-
MR968818 90d:58079
-
F. Ledrappier and L-S. Young. Entropy formula for random transformations. Probab. Theory Related Fields, 80(1988), 217-240. MR968818 (90d:58079)
-
(1988)
Probab. Theory Related Fields
, vol.80
, pp. 217-240
-
-
Ledrappier, F.1
Young, L.-S.2
-
22
-
-
0003870389
-
-
Translated from the Portuguese by Silvio Levy. Springer-Verlag, Berlin, MR889254 88c:58040
-
R. Mañé. Ergodic theory and differentiable dynamics. Translated from the Portuguese by Silvio Levy. Springer-Verlag, Berlin, 1987. MR889254 (88c:58040)
-
(1987)
Ergodic Theory and Differentiable Dynamics
-
-
Mañé, R.1
-
23
-
-
0001017508
-
Lyapunov exponents and stable manifolds for compact transformations
-
J. Palis, editor, Springer Lecture Notes in Mathematics, MR730286 85j:58126
-
R. Mañé. Lyapunov exponents and stable manifolds for compact transformations. In J. Palis, editor, Geometric Dynamics pages 522-577, 1983. Springer Lecture Notes in Mathematics, Volume 1007. MR730286 (85j:58126)
-
(1983)
Geometric Dynamics
, vol.1007
, pp. 522-577
-
-
Mañé, R.1
-
25
-
-
67650727344
-
-
edited by Brezis, Douglas and Jeffrey, CRC Press MR2464792, The Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics Series
-
Mierczynski, J. and Shen, W. Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications, to appear in the Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics Series, edited by Brezis, Douglas and Jeffrey, CRC Press MR2464792
-
Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications
-
-
Mierczynski, J.1
Shen, W.2
-
26
-
-
0038626235
-
Exponential separation and principal Lyapunov exponent/spectrum for random/nonautonomous parabolic equations
-
DOI 10.1016/S0022-0396(03)00016-0
-
Mierczynski, J. and Shen, W. Exponential separation and principal Lyapunov exponent/spectrum for random/nonautonomous parabolic equations, J. Diff. Equations 191(2002), 175-205. MR1973287 (2004h:35232) (Pubitemid 36593525)
-
(2003)
Journal of Differential Equations
, vol.191
, Issue.1
, pp. 175-205
-
-
Mierczynski, J.1
Shen, W.2
-
27
-
-
33746513833
-
The Faber-Krahn inequality for random/nonautonomous parabolic equations
-
DOI 10.3934/cpaa.2005.4.101
-
Mierczynski, J. and Shen, W. The Faber-Krahn inequality for random/nonautonomous parabolic equations, Commun. on Pure Appl. Analysis 4(2005), 101-114. MR2126280 (2006b:35358) (Pubitemid 44139121)
-
(2005)
Communications on Pure and Applied Analysis
, vol.4
, Issue.1
, pp. 101-114
-
-
Mierczynski, J.1
Shen, W.2
-
28
-
-
73149089428
-
Time averaging for nonautonomous/random linear parabolic equations
-
MR2379432 2009a:35108
-
Mierczynski, J. and Shen, W. Time averaging for nonautonomous/random linear parabolic equations, Discrete and Continuous Dynamical Systems Ser. B 9(2008), 661-699. MR2379432 (2009a:35108).
-
(2008)
Discrete and Continuous Dynamical Systems Ser. B
, vol.9
, pp. 661-699
-
-
Mierczynski, J.1
Shen, W.2
-
29
-
-
4444281171
-
Lyapunov exponents and asymptotic dynamics in random Kolmogorov models
-
DOI 10.1007/s00028-004-0160-0
-
Mierczynski, J. and Shen, W. Lyapunov exponents and asymptotic dynamics in random Kolmogorov models, J. Evol. Equ. 4(2004), no. 3, 371-390. MR2120129 (2005k:37122) (Pubitemid 39197054)
-
(2004)
Journal of Evolution Equations
, vol.4
, Issue.3
, pp. 371-390
-
-
Mierczynski, J.1
Shen, W.2
-
30
-
-
84860606026
-
Metric theory of linear systems of differential equations
-
V. M. Millionshchikov. Metric theory of linear systems of differential equations. Math. USSR Sbornik, 6:149-158, 1968.
-
(1968)
Math. USSR Sbornik
, vol.6
, pp. 149-158
-
-
Millionshchikov, V.M.1
-
31
-
-
0033455085
-
The stable manifold theorem for stochastic differential equations
-
MR1698943 2001e:60121
-
S-E. A. Mohammed and M. Scheutzow. The stable manifold theorem for stochastic differential equations. Ann. Probab. 27(1999), no. 2, 615-652. MR1698943 (2001e:60121)
-
(1999)
Ann. Probab.
, vol.27
, Issue.2
, pp. 615-652
-
-
Mohammed, S.-E.A.1
Scheutzow, M.2
-
32
-
-
34748895787
-
The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations
-
MR2459571
-
S-E. A. Mohammed, T. Zhang, and H. Zhao. The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations, Memoirs of the American Mathematical Society 196(2008), 105 pages. MR2459571
-
(2008)
Memoirs of the American Mathematical Society
, vol.196
, pp. 105
-
-
Mohammed, S.-E.A.1
Zhang, T.2
Zhao, H.3
-
33
-
-
84972570025
-
The radius of the essential spectrum
-
MR0264434 41:9028
-
R. Nussbaum. The radius of the essential spectrum. Duke Math. J. 37(1970), 473-478. MR0264434 (41:9028)
-
(1970)
Duke Math. J.
, vol.37
, pp. 473-478
-
-
Nussbaum, R.1
-
34
-
-
0000543733
-
A multiplicative ergodic theorem. Lyapunov characteristic numbers for dynamical systems
-
V. I. Oseledets. A multiplicative ergodic theorem. Lyapunov characteristic numbers for dynamical systems. Trans. Moscow Math. Soc., 19:197-231, 1968.
-
(1968)
Trans. Moscow Math. Soc.
, vol.19
, pp. 197-231
-
-
Oseledets, V.I.1
-
36
-
-
84961291543
-
Characteristic Lyapunov exponents, and smooth ergodic theory
-
MR0466791 57:6667
-
Pesin, Ya. Characteristic Lyapunov exponents, and smooth ergodic theory. Russian Math. Surveys. 32(1977), no 4, 55-144. MR0466791 (57:6667)
-
(1977)
Russian Math. Surveys
, vol.32
, Issue.4
, pp. 55-144
-
-
Pesin, Y.1
-
37
-
-
0000343431
-
A proof of Oseledec's multiplicative ergodic theorem
-
MR571089 81f:60016
-
M. S. Ragunathan. A proof of Oseledec's multiplicative ergodic theorem. Israel J. Math., 32:356-362, 1979. MR571089 (81f:60016)
-
(1979)
Israel J. Math.
, vol.32
, pp. 356-362
-
-
Ragunathan, M.S.1
-
38
-
-
51649166261
-
Ergodic theory of differentiable dynamical systems
-
MR556581 81f:58031
-
D. Ruelle. Ergodic theory of differentiable dynamical systems. Publ. Inst hautes Etud. Sci., 50:275-306, 1979. MR556581 (81f:58031)
-
(1979)
Publ. Inst Hautes Etud. Sci.
, vol.50
, pp. 275-306
-
-
Ruelle, D.1
-
39
-
-
0000320029
-
Characteristic exponents and invariant manifolds in Hilbert space
-
MR647807 83j:58097
-
Ruelle, D. Characteristic exponents and invariant manifolds in Hilbert space. Ann. of Math. 115(1982), no. 2, 243-290. MR647807 (83j:58097)
-
(1982)
Ann. of Math.
, vol.115
, Issue.2
, pp. 243-290
-
-
Ruelle, D.1
-
41
-
-
0009064949
-
A multiplicative ergodic theorem with applications to a first order stochastic hyperbolic equation in a bounded domain
-
MR1124837 92m:60050
-
K-U. Schaumlöffel and F. Flandoli. A multiplicative ergodic theorem with applications to a first order stochastic hyperbolic equation in a bounded domain. Stochastics Stochastics Rep. 34(1991), no. 3-4, 241-255. MR1124837 (92m:60050)
-
(1991)
Stochastics Stochastics Rep.
, vol.34
, Issue.3-4
, pp. 241-255
-
-
Schaumlöffel, K.-U.1
Flandoli, F.2
-
42
-
-
85020898799
-
Fibres dynamiques asymptotiquement compacts-exposants de Lyapunov
-
MR877991 88h:58064
-
P. Thieullen. Fibres dynamiques asymptotiquement compacts-exposants de Lyapunov. Entropie. Dimension. Ann. Inst. H. Poincaré, Anal. Non linéaire, 4(1):49-97, 1987. MR877991 (88h:58064)
-
(1987)
Entropie. Dimension. Ann. Inst. H. Poincaré, Anal. Non Linéaire
, vol.4
, Issue.1
, pp. 49-97
-
-
Thieullen, P.1
-
43
-
-
0011618959
-
Linearization of random dynamical systems
-
C. Jones, U. Kirchgraber and H. O. Walther, editors, Springer-Verlag, New York, MR1346499 96m:34084
-
Wanner, T. Linearization of random dynamical systems. In C. Jones, U. Kirchgraber and H. O. Walther, editors, Dynamics Reported, Vol. 4, 203-269, Springer-Verlag, New York, 1995. MR1346499 (96m:34084)
-
(1995)
Dynamics Reported
, vol.4
, pp. 203-269
-
-
Wanner, T.1
|