[1] Arnold, L.: Random Dynamical Systems. Springer Monographs in Mathematics, Springer, Berlin (1998). DOI 10.1007/978-3-662-12878-7 | MR 1723992 | Zbl 0906.34001

[2] Arrieta, J. M., Rodriguez-Bernal, A., Cholewa, J. W., Dlotko, T.: Linear parabolic equations in locally uniform spaces. Math. Models Methods Appl. Sci. 14 (2004), 253-293. DOI 10.1142/S0218202504003234 | MR 2040897 | Zbl 1058.35076

[3] Bates, P. W., Lisei, H., Lu, K.: Attractors for stochastic lattice dynamical systems. Stoch. Dyn. 6 (2006), 1-21. DOI 10.1142/S0219493706001621 | MR 2210679 | Zbl 1105.60041

[4] Bates, P. W., Lu, K., Wang, B.: Tempered random attractors for parabolic equations in weighted spaces. J. Math. Phys. 54 (2013), Article ID 081505, 26 pages. DOI 10.1063/1.4817597 | MR 3135449 | Zbl 1288.35097

[5] Brzeźniak, Z.: On Sobolev and Besov spaces regularity of Brownian paths. Stochastics Stochastics Rep. 56 (1996), 1-15. DOI 10.1080/17442509608834032 | MR 1396751 | Zbl 0890.60077

[6] Brzeźniak, Z.: On stochastic convolution in Banach spaces and applications. Stochastics Stochastics Rep. 61 (1997), 245-295. DOI 10.1080/17442509708834122 | MR 1488138 | Zbl 0891.60056

[7] Brzeźniak, Z., Li, Y.: Asymptotic compactness and absorbing sets for 2D stochastic Navier-Stokes equations on some unbounded domains. Trans. Am. Math. Soc. 358 (2006), 5587-5629. DOI 10.1090/S0002-9947-06-03923-7 | MR 2238928 | Zbl 1113.60062

[8] Brzeźniak, Z., Peszat, S.: Space-time continuous solutions to SPDE's driven by a homogeneous Wiener process. Stud. Math. 137 (1999), 261-299. DOI 10.4064/sm-137-3-261-299 | MR 1736012 | Zbl 0944.60075

[9] Brzeźniak, Z., Neerven, J. van: Space-time regularity for linear stochastic evolution equations driven by spatially homogeneous noise. J. Math. Kyoto Univ. 43 (2003), 261-303. DOI 10.1215/kjm/1250283728 | MR 2051026 | Zbl 1056.60057

[10] Caraballo, T., Langa, J. A., Melnik, V. S., Valero, J.: Pullback attractors of nonautonomous and stochastic multivalued dynamical systems. Set-Valued Anal. 11 (2003), 153-201. DOI 10.1023/A:1022902802385 | MR 1966698 | Zbl 1018.37048

[11] Cholewa, J. W., Dlotko, T.: Cauchy problems in weighted Lebesgue spaces. Czech. Math. J. 54 (2004), 991-1013. DOI 10.1007/s10587-004-6447-z | MR 2099352 | Zbl 1080.35033

[12] Crauel, H., Debussche, A., Flandoli, F.: Random attractors. J. Dyn. Differ. Equations 9 (1997), 307-341. DOI 10.1007/BF02219225 | MR 1451294 | Zbl 0884.58064

[13] Crauel, H., Flandoli, F.: Attractors for random dynamical systems. Probab. Theory Relat. Fields 100 (1994), 365-393. DOI 10.1007/BF01193705 | MR 1305587 | Zbl 0819.58023

[14] Prato, G. Da, Zabczyk, J.: Stochastic Equations in Infinite Dimensions. Encyclopedia of Mathematics and Its Applications 152, Cambridge University Press, Cambridge (2014). DOI 10.1017/CBO9781107295513 | MR 3236753 | Zbl 1317.60077

[15] Dawson, D. A., Salehi, H.: Spatially homogeneous random evolutions. J. Multivariate Anal. 10 (1980), 141-180. DOI 10.1016/0047-259X(80)90012-3 | MR 575923 | Zbl 0439.60051

[16] Feireisl, E.: Bounded, locally compact global attractors for semilinear damped wave equations on {$\bold R^N$}. Differ. Integral Equ. 9 (1996), 1147-1156. MR 1392099 | Zbl 0858.35084

[17] Flandoli, F., Schmalfuss, B.: Random attractors for the 3D stochastic Navier-Stokes equation with multiplicative white noise. Stochastics Stochastics Rep. 59 (1996), 21-45. DOI 10.1080/17442509608834083 | MR 1427258 | Zbl 0870.60057

[18] Gel'fand, I. M., Vilenkin, N. Y.: Generalized Functions. Vol. 4. Applications of Harmonic Analysis. Academic Press, New York (1964). MR 0435834 | Zbl 0136.11201

[19] Grasselli, M., Pražák, D., Schimperna, G.: Attractors for nonlinear reaction-diffusion systems in unbounded domains via the method of short trajectories. J. Differ. Equations 249 (2010), 2287-2315. DOI 10.1016/j.jde.2010.06.001 | MR 2718659 | Zbl 1207.35068

[20] Haroske, D., Triebel, H.: Entropy numbers in weighted function spaces and eigenvalue distributions of some degenerate pseudodifferential operators. I. Math. Nachr. 167 (1994), 131-156. DOI 10.1002/mana.19941670107 | MR 1285311 | Zbl 0829.46019

[21] Málek, J., Pražák, D.: Large time behavior via the method of $l$-trajectories. J. Differ. Equations 181 (2002), 243-279. DOI 10.1006/jdeq.2001.4087 | MR 1907143 | Zbl 1187.37113

[22] Ondreját, M.: Existence of global mild and strong solutions to stochastic hyperbolic evolution equations driven by a spatially homogeneous Wiener process. J. Evol. Equ. 4 (2004), 169-191. DOI 10.1007/s00028-003-0130-y | MR 2059301 | Zbl 1054.60068

[23] Peszat, S., Zabczyk, J.: Stochastic evolution equations with a spatially homogeneous Wiener process. Stochastic Processes Appl. 72 (1997), 187-204. DOI 10.1016/S0304-4149(97)00089-6 | MR 1486552 | Zbl 0943.60048

[24] Peszat, S., Zabczyk, J.: Nonlinear stochastic wave and heat equations. Probab. Theory Relat. Fields 116 (2000), 421-443. DOI 10.1007/s004400050257 | MR 1749283 | Zbl 0959.60044

[25] Tessitore, G., Zabczyk, J.: Invariant measures for stochastic heat equations. Probab. Math. Stat. 18 (1998), 271-287. MR 1671596 | Zbl 0986.60057

[26] Neerven, J. M. A. M. van, Veraar, M. C., Weis, L.: Stochastic evolution equations in UMD Banach spaces. J. Funct. Anal. 255 (2008), 940-993. DOI 10.1016/j.jfa.2008.03.015 | MR 2433958 | Zbl 1149.60039

[27] Wang, B.: Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems. J. Differ. Equations 253 (2012), 1544-1583. DOI 10.1016/j.jde.2012.05.015 | MR 2927390 | Zbl 1252.35081

[28] Zelik, S. V.: The attractor for a nonlinear reaction-diffusion system in the unbounded domain and Kolmogorov's $\epsilon$-entropy. Math. Nachr. 232 (2001), 129-179. DOI 10.1002/1522-2616(200112)232:1<129::AID-MANA129>3.3.CO;2-K | MR 1871475 | Zbl 0989.35032