Cheng, Mengyu; Liu, Zhenxin; Röckner, Michael Averaging principle for stochastic complex Ginzburg-Landau equations. (English) Zbl 1517.35218 J. Differ. Equations 368, 58-104 (2023). MSC: 35Q56 60H15 37B20 35B41 82D55 82D50 35R06 35R60 PDFBibTeX XMLCite \textit{M. Cheng} et al., J. Differ. Equations 368, 58--104 (2023; Zbl 1517.35218) Full Text: DOI arXiv
Federico, Salvatore; Ferrari, Giorgio; Riedel, Frank; Röckner, Michael On a class of infinite-dimensional singular stochastic control problems. (English) Zbl 1467.93328 SIAM J. Control Optim. 59, No. 2, 1680-1704 (2021). MSC: 93E20 93C35 37L55 91B24 91G99 PDFBibTeX XMLCite \textit{S. Federico} et al., SIAM J. Control Optim. 59, No. 2, 1680--1704 (2021; Zbl 1467.93328) Full Text: DOI arXiv
Beznea, Lucian; Cîmpean, Iulian; Röckner, Michael A new approach to the existence of invariant measures for Markovian semigroups. (English. French summary) Zbl 1421.37010 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 2, 977-1000 (2019). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 37C40 37A30 47A35 37L40 60J35 60J25 31C25 82B10 28D15 PDFBibTeX XMLCite \textit{L. Beznea} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 2, 977--1000 (2019; Zbl 1421.37010) Full Text: DOI arXiv Euclid
Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan Ergodicity for the stochastic quantization problems on the 2D-torus. (English) Zbl 1376.81045 Commun. Math. Phys. 352, No. 3, 1061-1090 (2017). Reviewer: Nicola Cufaro Petroni (Bari) MSC: 81S20 81P20 37A30 47D07 60J35 81T70 81T08 PDFBibTeX XMLCite \textit{M. Röckner} et al., Commun. Math. Phys. 352, No. 3, 1061--1090 (2017; Zbl 1376.81045) Full Text: DOI arXiv
Gess, Benjamin; Liu, Wei; Röckner, Michael Random attractors for a class of stochastic partial differential equations driven by general additive noise. (English) Zbl 1228.35062 J. Differ. Equations 251, No. 4-5, 1225-1253 (2011). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 35B41 60H15 37L30 35R60 PDFBibTeX XMLCite \textit{B. Gess} et al., J. Differ. Equations 251, No. 4--5, 1225--1253 (2011; Zbl 1228.35062) Full Text: DOI arXiv
Beyn, Wolf-Jürgen; Gess, Benjamin; Lescot, Paul; Röckner, Michael The global random attractor for a class of stochastic porous media equations. (English) Zbl 1284.60124 Commun. Partial Differ. Equations 36, No. 1-3, 446-469 (2011). MSC: 60H15 35L55 37H10 37L30 37L55 76M35 PDFBibTeX XMLCite \textit{W.-J. Beyn} et al., Commun. Partial Differ. Equations 36, No. 1--3, 446--469 (2011; Zbl 1284.60124) Full Text: DOI arXiv
Liu, Wei; Röckner, Michael SPDE in Hilbert space with locally monotone coefficients. (English) Zbl 1236.60064 J. Funct. Anal. 259, No. 11, 2902-2922 (2010). Reviewer: Dirk Blömker (Augsburg) MSC: 60H15 35R60 37L55 PDFBibTeX XMLCite \textit{W. Liu} and \textit{M. Röckner}, J. Funct. Anal. 259, No. 11, 2902--2922 (2010; Zbl 1236.60064) Full Text: DOI arXiv
Röckner, Michael; Zhang, Xicheng Stochastic tamed 3D Navier-Stokes equations: existence, uniqueness and ergodicity. (English) Zbl 1196.60118 Probab. Theory Relat. Fields 145, No. 1-2, 211-267 (2009). Reviewer: Dirk Blömker (Augsburg) MSC: 60H15 37A25 37L55 35R60 35Q30 76D05 PDFBibTeX XMLCite \textit{M. Röckner} and \textit{X. Zhang}, Probab. Theory Relat. Fields 145, No. 1--2, 211--267 (2009; Zbl 1196.60118) Full Text: DOI arXiv
da Prato, Giuseppe; Röckner, Michael A note on evolution systems of measures for time-dependent stochastic differential equations. (English) Zbl 1154.60050 Dalang, Robert C. (ed.) et al., Seminar on stochastic analysis, random fields and applications V. Proceedings of the 5th seminar, Centro Stefano Franscini, Ascona, Switzerland, May 30 to June 3, 2005. Basel: Birkhäuser (ISBN 978-3-7643-8457-9/hbk). Progress in Probability 59, 115-122 (2008). Reviewer: Marta Sanz-Solé (Barcelona) MSC: 60H10 37L40 37A25 PDFBibTeX XMLCite \textit{G. da Prato} and \textit{M. Röckner}, Prog. Probab. 59, 115--122 (2008; Zbl 1154.60050)
Albeverio, Sergio; Bernabei, M. Simonetta; Röckner, Michael; Yoshida, Minoru W. Homogenization of diffusions on the lattice \(\mathbb Z^d\) with periodic drift coefficients, applying a logarithmic Sobolev inequality or a weak Poincaré inequality. (English) Zbl 1162.60021 Benth, Fred Espen (ed.) et al., Stochastic analysis and applications. The Abel symposium 2005. Proceedings of the second Abel symposium, Oslo, Norway, July 29 – August 4, 2005, held in honor of Kiyosi Itô. Berlin: Springer (ISBN 978-3-540-70846-9/hbk). Abel Symposia 2, 53-72 (2007). Reviewer: Piotr Garbaczewski (Opole) MSC: 60J60 60H10 60F99 60B10 37A50 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Abel Symp. 2, 53--72 (2007; Zbl 1162.60021)
Da Prato, Giuseppe; Röckner, Michael Dissipative stochastic equations in Hilbert space with time dependent coefficients. (English) Zbl 1150.47030 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 17, No. 4, 397-403 (2006). Reviewer: Mohamed Hmissi (Tunis) MSC: 47D07 37L40 35B40 47H06 PDFBibTeX XMLCite \textit{G. Da Prato} and \textit{M. Röckner}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 17, No. 4, 397--403 (2006; Zbl 1150.47030) Full Text: DOI
Bogachev, V. I.; Wang, F.-Y.; Röckner, M. Invariant measures of stochastic gradient systems in Riemannian manifolds and Gibbs measures. (English) Zbl 1154.58311 Dokl. Math. 66, No. 2, 179-183 (2002) and Dokl. Akad. Nauk 386, No. 2, 151-155 (2002). MSC: 58J65 37C40 60H15 PDFBibTeX XMLCite \textit{V. I. Bogachev} et al., Dokl. Math. 66, No. 2, 179--183 (2002; Zbl 1154.58311)
Albeverio, S.; Kondratiev, Yu. G.; Röckner, M. Analysis and geometry on configuration spaces. (English) Zbl 0914.58028 J. Funct. Anal. 154, No. 2, 444-500 (1998). MSC: 58J05 37A99 58J60 58J65 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Funct. Anal. 154, No. 2, 444--500 (1998; Zbl 0914.58028) Full Text: DOI Link
Albeverio, Sergio; Kondratiev, Yuri G.; Röckner, Michael Ergodicity for the stochastic dynamics of quasi-invariant measures with applications to Gibbs states. (English) Zbl 0892.60008 J. Funct. Anal. 149, No. 2, 415-469 (1997). MSC: 60B05 60K35 28D05 37A99 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Funct. Anal. 149, No. 2, 415--469 (1997; Zbl 0892.60008) Full Text: DOI
Albeverio, Sergio; Kondratiev, Yuri G.; Röckner, Michael Differential geometry of Poisson spaces. (English. Abridged French version) Zbl 0866.58011 C. R. Acad. Sci., Paris, Sér. I 323, No. 10, 1129-1134 (1996). Reviewer: M.Puta (Timişoara) MSC: 58C35 37J99 PDFBibTeX XMLCite \textit{S. Albeverio} et al., C. R. Acad. Sci., Paris, Sér. I 323, No. 10, 1129--1134 (1996; Zbl 0866.58011)