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@article{FAA_2004_38_1_a2, author = {S. B. Kuksin and A. R. Shirikyan}, title = {On {Random} {Attractors} for {Mixing} {Type} {Systems}}, journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a}, pages = {34--46}, publisher = {mathdoc}, volume = {38}, number = {1}, year = {2004}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FAA_2004_38_1_a2/} }
S. B. Kuksin; A. R. Shirikyan. On Random Attractors for Mixing Type Systems. Funkcionalʹnyj analiz i ego priloženiâ, Tome 38 (2004) no. 1, pp. 34-46. http://geodesic.mathdoc.fr/item/FAA_2004_38_1_a2/
[1] Lions Zh.-L., Nekotorye metody resheniya nelineinykh kraevykh zadach, Mir, M., 1972 | MR
[2] Revyuz D., Tsepi Markova, Yanus-K, M., 1997
[3] Arnold L., Random Dynamical Systems, Springer-Verlag, Berlin, 1998 | MR
[4] Bricmont J., Kupiainen A., Lefevere R., “Exponential mixing for the 2D stochastic Navier–Stokes dynamics”, Comm. Math. Phys., 230:1 (2002), 87–132 | DOI | MR | Zbl
[5] Crauel H., Debussche A., Flandoli F., “Random attractors”, J. Dynam. Diff. Eq., 9:2 (1997), 307–341 | DOI | MR | Zbl
[6] Crauel H., “Markov measures for random dynamical systems”, Stochastics Rep., 37:3 (1991), 153–173 | DOI | MR | Zbl
[7] Crauel H., “Random point attractors versus random set attractors”, J. London Math. Soc. (2), 63:2 (2001), 413–427 | DOI | MR | Zbl
[8] Chepyzhov V., Vishik M., “A Hausdorff dimension estimate for kernel sections of nonautonomous evolution equations”, Indiana Univ. Math. J., 42:3 (1993), 1057–1076 | DOI | MR | Zbl
[9] Chepyzhov V. V., Vishik M. I., Attractors for Equations of Mathematical Physics, Amer. Math. Soc. Coll. Publ., 49, Amer. Math. Soc., Providence, 2002 | MR | Zbl
[10] Debussche A., “Hausdorff dimension of a random invariant set”, J. Math. Pures Appl. (9), 77:10 (1998), 967–988 | DOI | MR | Zbl
[11] E W., Mattingly J. C., Sinai Ya. G., “Gibbsian dynamics and ergodicity for the stochastically forced Navier–Stokes equation”, Comm. Math. Phys., 224 (2001), 83–106 | DOI | MR | Zbl
[12] Kuksin S. B., Shirikyan A., “Stochastic dissipative PDE's and Gibbs measures”, Comm. Math. Phys., 213 (2000), 291–330 | DOI | MR | Zbl
[13] Kuksin S. B., Shirikyan A., “A coupling approach to randomly forced nonlinear PDE's. I”, Comm. Math. Phys., 221 (2001), 351–366 | DOI | MR | Zbl
[14] Kuksin S. B., Shirikyan A., “Coupling approach to white-forced nonlinear PDE's”, J. Math. Pures Appl., 81 (2002), 567–602 | DOI | MR | Zbl
[15] Le Jan Y., “Équilibre statistique pour les produits de difféomorphismes aléatoires indépendants”, Ann. Inst. H. Poincaré Probab. Statist., 23:1 (1987), 111–120 | MR | Zbl
[16] Ledrappier F., “Positivity of the exponent for stationary sequences of matrices”, Lyapunov Exponents (Bremen, 1984), Lect. Notes in Math., 1186, Springer-Verlag, Berlin, 1986, 56–73 | DOI | MR