Edit Profile (opens in new tab) Röckner, Michael Co-Author Distance Author ID: rockner.michael Published as: Röckner, Michael; Röckner, M.; Roeckner, Michael; Röckner, Michaël; Röcker, Michael; Rockner, M. more...less Homepage: https://www.math.uni-bielefeld.de/~roeckner/ External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 386 Publications since 1983, including 9 Books 9 Contributions as Editor Biographic References: 1 Publication Co-Authors: 133 Co-Authors with 376 Joint Publications 3,859 Co-Co-Authors all top 5 Co-Authors 18 single-authored 77 Albeverio, Sergio A. 70 Bogachev, Vladimir Igorevich 49 Kondrat’yev, Yuriĭ Grygorovych 46 Da Prato, Giuseppe 40 Barbu, Viorel 26 Shaposhnikov, Stanislav V. 24 Ma, Zhi-Ming 20 Wang, Feng-Yu 20 Zhang, Tusheng S. 14 Zhu, RongChan 14 Zhu, Xiang-Chan 13 Beznea, Lucian 13 Pasurek, Tatiana 10 Krylov, Nicolaĭ Vladimirovich 9 Liu, Wei 9 Zhang, Xicheng 8 Kozitsky, Yuri Vasil’evich 8 Zhang, Deng 7 Flandoli, Franco 7 Sobol, Zeev 5 Marinelli, Carlo 5 Russo, Francesco 5 Schmuland, Byron 5 Xie, Longjie 4 Boboc, Nicu 4 Gess, Benjamin 4 Konstantinov, Aleksandr Yu. 4 Lescot, Paul 4 Lytvynov, Eugene W. 4 Ren, Jiagang 4 Stannat, Wilhelm 4 Yoshida, Minoru W. 3 Cerrai, Sandra 3 Cîmpean, Iulian 3 da Silva, José Luís 3 Fukushima, Masatoshi 3 Grothaus, Martin 3 Jentzen, Arnulf 3 Jost, Jürgen 3 Kawabi, Hiroshi 3 Liskevich, Vitaliĭ A. 3 Ouyang, Shunxiang 3 Overbeck, Ludger 3 Potthoff, Jürgen 3 Streit, Ludwig 3 Sun, Xiaobin 3 Trutnau, Gerald 3 Xie, Yingchao 2 Bakry, Dominique 2 Bernabei, Maria Simonetta 2 Blanchard, Philippe 2 Chen, Zhen-Qing 2 Cornea, Aurel 2 Daletskii, Alexei 2 Finkelshteĭn, Dmitriĭ Leonidovich 2 Gesztesy, Fritz 2 Gordina, Maria 2 Hansen, Wolfhard 2 Hida, Takeyuki 2 Holden, Helge 2 Lyons, Terence John 2 Munteanu, Ionut 2 Paycha, Sylvie 2 Prévôt, Claudia Ingrid 2 Priola, Enrico 2 Pugachev, O. V. 2 Scarlatti, Sergio 2 Shchepan’uk, Gennadi V. 2 Teplyaev, Alexander 2 Wu, Bo 2 Wu, Liming 1 Accardi, Luigi 1 Baňas, Ľubomír 1 Beyn, Wolf-Jürgen 1 Bohachev, V. I. 1 Brasche, Johannes Friedemann 1 Bucur, Gheorghe 1 Cheng, Mengyu 1 Driver, Bruce K. 1 Engelbert, Hans-Jürgen 1 Fagnola, Franco 1 Fan, Ruzong 1 Federico, Salvatore 1 Ferrari, Giorgio 1 Fuhrman, Marco 1 Goldys, Beniamin 1 Gong, Fuzhou 1 Grigor’yan, Alexander Asaturovich 1 Grunau, Hans-Christoph 1 Ha, Seung-Yeal 1 Hagedorn, Dennis 1 Hao, Zimo 1 Herr, Sebastian 1 Hinz, Michael 1 Hu, Yaozhong 1 Huang, Xing 1 Jung, Jinwook 1 Karatzas, Ioannis 1 Karwowski, Witold 1 Kendall, Wilfrid S. ...and 33 more Co-Authors all top 5 Serials 43 Journal of Functional Analysis 18 Journal of Differential Equations 17 Doklady Mathematics 17 Infinite Dimensional Analysis, Quantum Probability and Related Topics 16 The Annals of Probability 16 Probability Theory and Related Fields 11 Potential Analysis 10 Communications in Mathematical Physics 10 Comptes Rendus de l’Académie des Sciences. Série I 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Stochastic Processes and their Applications 8 Stochastic and Partial Differential Equations. Analysis and Computations 7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 Reviews in Mathematical Physics 6 Communications in Partial Differential Equations 6 SIAM Journal on Mathematical Analysis 6 Journal of Evolution Equations 5 Forum Mathematicum 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Journal of Mathematical Sciences (New York) 5 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 4 Theory of Probability and its Applications 4 Applied Mathematics and Optimization 4 Osaka Journal of Mathematics 4 Electronic Journal of Probability 4 Lecture Notes in Mathematics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Bulletin of the London Mathematical Society 3 Journal of the London Mathematical Society. Second Series 3 SIAM Journal on Control and Optimization 3 Acta Applicandae Mathematicae 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Journal of Mathematical Analysis and Applications 2 Canadian Journal of Mathematics 2 Indiana University Mathematics Journal 2 Mathematische Annalen 2 Nagoya Mathematical Journal 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Transactions of the American Mathematical Society 2 Random Operators and Stochastic Equations 2 Bernoulli 2 Sbornik: Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 CMS Conference Proceedings 2 Theta Series in Advanced Mathematics 2 Universitext 1 International Journal of Modern Physics B 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Physics 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Russian Mathematical Surveys 1 Hiroshima Mathematical Journal 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the Moscow Mathematical Society 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Journal of Theoretical Probability 1 The Annals of Applied Probability 1 Expositiones Mathematicae 1 Stochastics and Stochastics Reports 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 NoDEA. Nonlinear Differential Equations and Applications 1 Bulletin des Sciences Mathématiques 1 Discrete and Continuous Dynamical Systems 1 Methods of Functional Analysis and Topology 1 Journal of the European Mathematical Society (JEMS) 1 Foundations of Computational Mathematics 1 Moscow Mathematical Journal 1 Oberwolfach Reports 1 Mathematical Surveys and Monographs 1 AMS/IP Studies in Advanced Mathematics 1 Complex Analysis and Operator Theory 1 RIMS Kôkyûroku Bessatsu 1 EMS Tracts in Mathematics 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Communications in Mathematics and Statistics 1 Pure and Applied Functional Analysis all top 5 Fields 351 Probability theory and stochastic processes (60-XX) 161 Partial differential equations (35-XX) 90 Operator theory (47-XX) 82 Potential theory (31-XX) 51 Global analysis, analysis on manifolds (58-XX) 51 Statistical mechanics, structure of matter (82-XX) 24 Fluid mechanics (76-XX) 22 Quantum theory (81-XX) 19 Functional analysis (46-XX) 15 Measure and integration (28-XX) 15 Dynamical systems and ergodic theory (37-XX) 12 General and overarching topics; collections (00-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Ordinary differential equations (34-XX) 3 Real functions (26-XX) 3 Integral equations (45-XX) 3 Mechanics of particles and systems (70-XX) 2 Differential geometry (53-XX) 2 Numerical analysis (65-XX) 2 Systems theory; control (93-XX) 1 Abstract harmonic analysis (43-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 342 Publications have been cited 6,402 times in 2,886 Documents Cited by ▼ Year ▼ A concise course on stochastic partial differential equations. Zbl 1123.60001Prévôt, Claudia; Röckner, Michael 449 2007 Introduction to the theory of (non-symmetric) Dirichlet forms. Zbl 0826.31001Ma, Zhi-Ming; Röckner, Michael 256 1992 Strong solutions of stochastic equations with singular time dependent drift. Zbl 1072.60050Krylov, N. V.; Röckner, M. 194 2005 Stochastic partial differential equations: an introduction. Zbl 1361.60002Liu, Wei; Röckner, Michael 176 2015 On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions. Zbl 0997.35012Bogachev, V. I.; Krylov, N. V.; Röckner, M. 129 2001 Fokker-Planck-Kolmogorov equations. Zbl 1342.35002Bogachev, Vladimir I.; Krylov, Nicolai V.; Röckner, Michael; Shaposhnikov, Stanislav V. 112 2015 Analysis and geometry on configuration spaces. Zbl 0914.58028Albeverio, S.; Kondratiev, Yu. G.; Röckner, M. 110 1998 Weak Poincaré inequalities and \(L^2\)-convergence rates of Markov semigroups. Zbl 1009.47028Röckner, Michael; Wang, Feng-Yu 99 2001 SPDE in Hilbert space with locally monotone coefficients. Zbl 1236.60064Liu, Wei; Röckner, Michael 94 2010 Stochastic differential equations in infinite dimensions: Solutions via Dirichlet forms. Zbl 0725.60055Albeverio, S.; Röckner, M. 93 1991 Large deviations for stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term. Zbl 1054.60065Cerrai, Sandra; Röckner, Michael 83 2004 Stochastic evolution equations of jump type: Existence, uniqueness and large deviation principles. Zbl 1119.60057Röckner, Michael; Zhang, Tusheng 80 2007 Stochastic generalized porous media and fast diffusion equations. Zbl 1129.60059Ren, Jiagang; Röckner, Michael; Wang, Feng-Yu 78 2007 Random attractors for a class of stochastic partial differential equations driven by general additive noise. Zbl 1228.35062Gess, Benjamin; Liu, Wei; Röckner, Michael 76 2011 Analysis and geometry on configuration spaces: the Gibbsian case. Zbl 0931.58019Albeverio, S.; Kondratiev, Yu. G.; Röckner, M. 74 1998 Classical Dirichlet forms on topological vector spaces — closability and a Cameron-Martin formula. Zbl 0737.46036Albeverio, Sergio; Röckner, Michael 68 1990 Existence of strong solutions for stochastic porous media equation under general monotonicity conditions. Zbl 1162.76054Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 61 2009 Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift. Zbl 1291.35455Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M. 61 2013 Harnack and functional inequalities for generalized Mehler semigroups. Zbl 1059.47051Röckner, Michael; Wang, Feng-Yu 57 2003 Elliptic and parabolic equations for measures. Zbl 1194.35481Bogachev, V. I.; Krylov, N. V.; Röckner, M. 56 2009 From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE. Zbl 1469.60216Barbu, Viorel; Röckner, Michael 49 2020 Strong solutions of stochastic generalized porous media equations: existence, uniqueness, and ergodicity. Zbl 1158.60356Da Prato, G.; Röckner, Michael; Rozovskii, B. L.; Wang, Feng-Yu 48 2006 Local and global well-posedness of SPDE with generalized coercivity conditions. Zbl 1264.60046Liu, Wei; Röckner, Michael 48 2013 Classical Dirichlet forms on topological vector spaces - the construction of the associated diffusion process. Zbl 0661.60094Albeverio, Sergio; Röckner, Michael 46 1989 Large deviations for stochastic tamed 3D Navier-Stokes equations. Zbl 1195.60093Röckner, Michael; Zhang, Tusheng; Zhang, Xicheng 45 2010 Supercontractivity and ultracontractivity for (non-symmetric) diffusion semigroups on manifolds. Zbl 1062.47044Röckner, M.; Wang, Feng-Yu 44 2003 Stochastic porous media equations and self-organized criticality. Zbl 1176.35182Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 44 2009 Log-Harnack inequality for stochastic differential equations in Hilbert spaces and its consequences. Zbl 1207.60053Röckner, Michael; Wang, Feng-Yu 43 2010 Singular dissipative stochastic equations in Hilbert spaces. Zbl 1036.47029Da Prato, Giuseppe; Röckner, Michael 41 2002 Singular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroups. Zbl 1193.47047Da Prato, Giuseppe; Röckner, Michael; Wang, Feng-Yu 41 2009 Regularity of invariant measures on finite and infinite dimensional spaces and applications. Zbl 0840.60069Bogachev, Vladimir I.; Röckner, Michael 41 1995 Generalized Mehler semigroups and applications. Zbl 0849.60066Bogachev, Vladimir I.; Röckner, Michael; Schmuland, Byron 40 1996 Regularity analysis for stochastic partial differential equations with nonlinear multiplicative trace class noise. Zbl 1241.60030Jentzen, Arnulf; Röckner, Michael 39 2012 The global random attractor for a class of stochastic porous media equations. Zbl 1284.60124Beyn, Wolf-Jürgen; Gess, Benjamin; Lescot, Paul; Röckner, Michael 39 2011 On parabolic equations for measures. Zbl 1323.35058Bogachev, V. I.; Da Prato, G.; Röckner, M. 38 2008 Regular dependence on initial data for stochastic evolution equations with multiplicative Poisson noise. Zbl 1186.60060Marinelli, Carlo; Prévôt, Claudia; Röckner, Michael 38 2010 Generalized Mehler semigroups: The non-Gaussian case. Zbl 0957.47028Fuhrman, Marco; Röckner, Michael 38 2000 Stochastic tamed 3D Navier-Stokes equations: existence, uniqueness and ergodicity. Zbl 1196.60118Röckner, Michael; Zhang, Xicheng 37 2009 Well-posedness of distribution dependent SDEs with singular drifts. Zbl 1480.60171Röckner, Michael; Zhang, Xicheng 37 2021 Quasi-homeomorphisms of Dirichlet forms. Zbl 0811.31002Chen, Zhen-Qing; Ma, Zhi-Ming; Röckner, Michael 36 1994 An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise. Zbl 1327.60122Barbu, Viorel; Röckner, Michael 35 2015 Uniqueness of generalized Schrödinger operators and applications. Zbl 0779.35028Röckner, Michael; Zhang, Tu-Sheng 35 1992 Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions. Zbl 1055.58009Bogachev, V. I.; Röckner, M.; Stannat, W. 34 2002 Stochastic 3D tamed Navier-Stokes equations: existence, uniqueness and small time large deviation principles. Zbl 1241.60032Röckner, Michael; Zhang, Tusheng 34 2012 Martingale solutions and Markov selections for stochastic partial differential equations. Zbl 1177.60060Goldys, Benjamin; Röckner, Michael; Zhang, Xicheng 34 2009 Stochastic nonlinear Schrödinger equations with linear multiplicative noise: rescaling approach. Zbl 1300.35116Barbu, Viorel; Röckner, Michael; Zhang, Deng 33 2014 Dirichlet operators via stochastic analysis. Zbl 0820.60042Albeverio, S.; Kondratiev, Yu. G.; Röckner, M. 33 1995 Probabilistic representation for solutions to nonlinear Fokker-Planck equations. Zbl 1407.60091Barbu, Viorel; Röckner, Michael 33 2018 Stochastic porous media equations. Zbl 1355.60004Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 32 2016 Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients. Zbl 1448.60124Liu, Wei; Röckner, Michael; Sun, Xiaobin; Xie, Yingchao 32 2020 A Milstein scheme for SPDEs. Zbl 1318.60072Jentzen, Arnulf; Röckner, Michael 31 2015 Uniqueness of generalized Schrödinger operators. II. Zbl 0799.35053Röckner, Michael; Zhang, Tu-Sheng 31 1994 A generalization of Khasminskij’s theorem on the existence of invariant measures for locally integrable drifts. Zbl 1004.60061Bogachev, V.; Röckner, M. 31 2000 Existence and uniqueness of nonnegative solutions to the stochastic porous medium equation. Zbl 1137.76059Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 31 2008 On the maximal inequalities of Burkholder, Davis and Gundy. Zbl 1335.60064Marinelli, Carlo; Röckner, Michael 30 2016 Stochastic nonlinear Schrödinger equations. Zbl 1336.60118Barbu, Viorel; Röckner, Michael; Zhang, Deng 30 2016 Differential geometry of Poisson spaces. Zbl 0866.58011Albeverio, Sergio; Kondratiev, Yuri G.; Röckner, Michael 29 1996 On uniqueness of invariant measures for finite- and infinite-dimensional diffusions. Zbl 0998.60064Albeverio, S.; Bogachev, V.; Röckner, M. 29 1999 Non-monotone stochastic generalized porous media equations. Zbl 1151.76032Röckner, Michael; Wang, Feng-Yu 29 2008 Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise. Zbl 1286.35202Barbu, Viorel; Röckner, Michael 28 2013 A mild Itô formula for SPDEs. Zbl 1423.35472Da Prato, Giuseppe; Jentzen, Arnulf; Röckner, Michael 28 2019 Distances between transition probabilities of diffusions and applications to nonlinear Fokker-Planck-Kolmogorov equations. Zbl 1345.35051Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. 27 2016 Markov processes associated with \(L^{p}\)-resolvents and applications to stochastic differential equations on Hilbert space. Zbl 1114.60060Beznea, Lucian; Boboc, Nicu; Röckner, Michael 27 2006 Weak solutions to stochastic porous media equations. Zbl 1049.60092Da Prato, Giuseppe; Röckner, Michael 26 2004 Large deviations for stochastic generalized porous media equations. Zbl 1155.60313Röckner, Michael; Wang, Feng-Yu; Wu, Liming 26 2006 Nonlinear Fokker-Planck equations for probability measures on path space and path-distribution dependent sdes. Zbl 1417.60056Huang, Xing; Röckner, Michael; Wang, Feng-Yu 26 2019 On uniqueness problems related to elliptic equations for measures. Zbl 1290.35289Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. 25 2011 Perturbations of generalized Mehler semigroups and applications to stochastic heat equations with Levy noise and singular drift. Zbl 1052.47033Lescot, Paul; Röckner, Michael 25 2004 Uniqueness of solutions to weak parabolic equations for measures. Zbl 1129.35039Bogachev, V. I.; Da Prato, G.; Röckner, M.; Stannat, W. 25 2007 Tamed 3D Navier – Stokes equation: existence, uniqueness and regularity. Zbl 1180.35417Röckner, Michael; Zhang, Xicheng 25 2009 On maximal inequalities for purely discontinuous martingales in infinite dimensions. Zbl 1390.60164Marinelli, Carlo; Röckner, Michael 25 2014 Quasi-linear (stochastic) partial differential equations with time-fractional derivatives. Zbl 1407.60086Liu, Wei; Röckner, Michael; da Silva, José Luís 25 2018 Local existence and non-explosion of solutions for stochastic fractional partial differential equations driven by multiplicative noise. Zbl 1329.60220Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan 24 2014 Elliptic regularity and essential self-adjointness of Dirichlet operators on \(\mathbb{R}^n\). Zbl 0901.35017Bogachev, Vladimir I.; Krylov, Nicolai V.; Röckner, Michael 24 1997 Elliptic equations for invariant measures on finite and infinite dimensional manifolds. Zbl 0996.58023Bogachev, Vladimir I.; Röckner, Michael; Wang, Feng-Yu 24 2001 Tightness of general \(C_{1,p}\) capacities on Banach space. Zbl 0757.60058Röckner, Michael; Schmuland, Byron 23 1992 Markov processes associated with semi-Dirichlet forms. Zbl 0834.60086Ma, Zhi-Ming; Overbeck, Ludger; Röckner, Michael 23 1995 Vector analysis for Dirichlet forms and quasilinear PDE and SPDE on metric measure spaces. Zbl 1290.35355Hinz, Michael; Röckner, Michael; Teplyaev, Alexander 23 2013 Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. Zbl 1347.60077Da Prato, G.; Flandoli, F.; Röckner, M.; Veretennikov, A. Yu. 22 2016 Stochastic analysis on configuration spaces: Basic ideas and recent results. Zbl 1037.58026Röckner, Michael 22 1998 Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M. 22 2015 On positive and probability solutions to the stationary Fokker-Planck-Kolmogorov equation. Zbl 1266.60111Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. 22 2012 Markov processes associated with positivity preserving coercive forms. Zbl 0828.31005Ma, Zhi-Ming; Röckner, Michael 22 1995 Restricted Markov uniqueness for the stochastic quantization of \(P(\Phi)_{2}\) and its applications. Zbl 1405.60096Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan 22 2017 Construction of diffusions on configuration spaces. Zbl 0968.58028Ma, Zhi-Ming; Röckner, Michael 22 2000 Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces. Zbl 1239.34063Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael 21 2010 Ergodicity of \(L^ 2\)-semigroups and extremality of Gibbs states. Zbl 0880.60098Albeverio, Sergio; Kondratiev, Yuri G.; Röcker, Michael 20 1997 Construction of diffusions on path and loop spaces of compact Riemannian manifolds. Zbl 0771.58047Driver, Bruce K.; Röckner, Michaël 20 1992 Quasi-regular Dirichlet forms and \(L^p\)-resolvents on measurable spaces. Zbl 1107.31006Beznea, Lucian; Boboc, Nicu; Röckner, Michael 20 2006 On a random scaled porous media equation. Zbl 1238.60070Barbu, Viorel; Röckner, Michael 20 2011 Weak uniqueness of Fokker-Planck equations with degenerate and bounded coefficients. Zbl 1202.60112Röckner, Michael; Zhang, Xicheng 20 2010 Fokker-Planck equations and maximal dissipativity for Kolmogorov operators with time dependent singular drifts in Hilbert spaces. Zbl 1161.47027Bogachev, V. I.; Da Prato, G.; Röckner, M. 20 2009 Quasi-regular Dirichlet forms: Examples and counterexamples. Zbl 0827.31006Röckner, Michael; Schmuland, Byron 20 1995 Kolmogorov equations in infinite dimensions: well-posedness and regularity of solutions, with applications to stochastic generalized Burgers equations. Zbl 1106.35127Röckner, Michael; Sobol, Zeev 19 2006 On uniqueness problems related to the Fokker-Planck-Kolmogorov equation for measures. Zbl 1291.35425Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. 19 2011 Sub and supercritical stochastic quasi-geostrophic equation. Zbl 1322.60121Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan 19 2015 Well posedness and asymptotic behavior for stochastic reaction-diffusion equations with multiplicative Poisson noise. Zbl 1225.60108Marinelli, Carlo; Roeckner, Michael 19 2010 Uniqueness for solutions of Fokker-Planck equations on infinite dimensional spaces. Zbl 1239.60051Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael 19 2011 Rademacher’s theorem on configuration spaces and applications. Zbl 0960.58023Röckner, Michael; Schied, Alexander 19 1999 Large deviation principles for the stochastic quasi-geostrophic equations. Zbl 1291.60133Liu, Wei; Röckner, Michael; Zhu, Xiang-Chan 19 2013 SDEs with critical time dependent drifts: weak solutions. Zbl 07634411Röckner, Michael; Zhao, Guohuan 3 2023 Asymptotic behavior of multiscale stochastic partial differential equations with Hölder coefficients. Zbl 07729958Röckner, Michael; Xie, Longjie; Yang, Li 3 2023 Strong averaging principle for slow-fast stochastic partial differential equations with locally monotone coefficients. Zbl 1516.60039Liu, Wei; Röckner, Michael; Sun, Xiaobin; Xie, Yingchao 1 2023 Nonlinear Fokker-Planck equations with time-dependent coefficients. Zbl 1511.60094Barbu, Viorel; Röckner, Michael 1 2023 The evolution to equilibrium of solutions to nonlinear Fokker-Planck equation. Zbl 1514.35436Barbu, Viorel; Roeckner, Michael 1 2023 Uniqueness for nonlinear Fokker-Planck equations and for McKean-Vlasov SDEs: the degenerate case. Zbl 1514.60071Barbu, Viorel; Röckner, Michael 1 2023 The invariance principle for nonlinear Fokker-Planck equations. Zbl 1490.60199Barbu, Viorel; Röckner, Michael 1 2022 Linearization of nonlinear Fokker-Planck equations and applications. Zbl 1486.60104Ren, Panpan; Röckner, Michael; Wang, Feng-Yu 1 2022 Well-posedness of distribution dependent SDEs with singular drifts. Zbl 1480.60171Röckner, Michael; Zhang, Xicheng 37 2021 Averaging principle and normal deviations for multiscale stochastic systems. Zbl 1468.34089Röckner, Michael; Xie, Longjie 16 2021 Strong convergence order for slow-fast McKean-Vlasov stochastic differential equations. Zbl 1491.60088Röckner, Michael; Sun, Xiaobin; Xie, Yingchao 14 2021 Solutions for nonlinear Fokker-Planck equations with measures as initial data and Mckean-Vlasov equations. Zbl 1458.35415Barbu, Viorel; Röckner, Michael 13 2021 Diffusion approximation for fully coupled stochastic differential equations. Zbl 1487.60117Röckner, Michael; Xie, Longjie 12 2021 Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs. Zbl 1493.60107Barbu, Viorel; Röckner, Michael 8 2021 Euler scheme for density dependent stochastic differential equations. Zbl 1455.65016Hao, Zimo; Röckner, Michael; Zhang, Xicheng 5 2021 Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces. Zbl 1478.35065Lunardi, Alessandra; Röckner, Michael 4 2021 Upper envelopes of families of Feller semigroups and viscosity solutions to a class of nonlinear Cauchy problems. Zbl 1507.47109Nendel, Max; Röckner, Michael 4 2021 On the Ambrosio-Figalli-Trevisan superposition principle for probability solutions to Fokker-Planck-Kolmogorov equations. Zbl 1474.60185Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V. 4 2021 Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication. Zbl 1460.35345Ha, Seung-Yeal; Jung, Jinwook; Röckner, Michael 4 2021 Convergent numerical approximation of the stochastic total variation flow. Zbl 1468.60075Baňas, Ľubomír; Röckner, Michael; Wilke, André 3 2021 Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equations. Zbl 1469.35227Liu, Wei; Röckner, Michael; Luís da Silva, José 3 2021 Conservative stochastic two-dimensional Cahn-Hilliard equation. Zbl 1476.60104Röckner, Michael; Yang, Huanyu; Zhu, Rongchan 2 2021 A Markov process for an infinite interacting particle system in the continuum. Zbl 1479.60154Kozitsky, Yuri; Röckner, Michael 2 2021 Continuity equation in llogl for the 2D Euler equations under the enstrophy measure. Zbl 1476.35186Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael 1 2021 From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE. Zbl 1469.60216Barbu, Viorel; Röckner, Michael 49 2020 Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients. Zbl 1448.60124Liu, Wei; Röckner, Michael; Sun, Xiaobin; Xie, Yingchao 32 2020 Stochastic heat equations with values in a manifold via Dirichlet forms. Zbl 1445.60048Röckner, Michael; Wu, Bo; Zhu, Rongchan; Zhu, Xiangchan 8 2020 Superposition principle for non-local Fokker-Planck-Kolmogorov operators. Zbl 1469.60196Röckner, Michael; Xie, Longjie; Zhang, Xicheng 6 2020 Optimal control of nonlinear stochastic differential equations on Hilbert spaces. Zbl 1446.49022Barbu, Viorel; Röckner, Michael; Zhang, Deng 5 2020 Ornstein-Uhlenbeck processes with singular drifts: integral estimates and Girsanov densities. Zbl 1470.60181Gordina, Maria; Röckner, Michael; Teplyaev, Alexander 2 2020 A natural extension of Markov processes and applications to singular SDEs. Zbl 1465.60056Beznea, Lucian; Cîmpean, Iulian; Röckner, Michael 1 2020 A mild Itô formula for SPDEs. Zbl 1423.35472Da Prato, Giuseppe; Jentzen, Arnulf; Röckner, Michael 28 2019 Nonlinear Fokker-Planck equations for probability measures on path space and path-distribution dependent sdes. Zbl 1417.60056Huang, Xing; Röckner, Michael; Wang, Feng-Yu 26 2019 Scattering for stochastic nonlinear Schrödinger equations. Zbl 1416.35239Herr, Sebastian; Röckner, Michael; Zhang, Deng 10 2019 Convergence in variation of solutions of nonlinear Fokker-Planck-Kolmogorov equations to stationary measures. Zbl 1411.60010Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V. 9 2019 A new approach to the existence of invariant measures for Markovian semigroups. Zbl 1421.37010Beznea, Lucian; Cîmpean, Iulian; Röckner, Michael 3 2019 On convergence to stationary distributions for solutions of nonlinear Fokker-Planck-Kolmogorov equations. Zbl 1431.35208Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. 2 2019 Absolutely continuous solutions for continuity equations in Hilbert spaces. Zbl 1418.35074Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael 2 2019 On the superposition principle for Fokker-Planck-Kolmogorov equations. Zbl 1433.35407Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. 1 2019 A remark on global solutions to random 3D vorticity equations for small initial data. Zbl 1420.60087Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan 1 2019 Probabilistic representation for solutions to nonlinear Fokker-Planck equations. Zbl 1407.60091Barbu, Viorel; Röckner, Michael 33 2018 Quasi-linear (stochastic) partial differential equations with time-fractional derivatives. Zbl 1407.60086Liu, Wei; Röckner, Michael; da Silva, José Luís 25 2018 Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise. Zbl 1431.60053Barbu, Viorel; Röckner, Michael; Zhang, Deng 17 2018 Irreducible recurrence, ergodicity, and extremality of invariant measures for resolvents. Zbl 1391.60189Beznea, Lucian; Cîmpean, Iulian; Röckner, Michael 6 2018 The Poisson equation and estimates for distances between stationary distributions of diffusions. Zbl 1406.35408Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. 6 2018 Nonlinear Fokker-Planck equations driven by Gaussian linear multiplicative noise. Zbl 1403.60051Barbu, Viorel; Röckner, Michael 5 2018 Total variation flow perturbed by gradient linear multiplicative noise. Zbl 1430.35281Munteanu, Ionuţ; Röckner, Michael 4 2018 Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities. Zbl 1401.35145Grigor’yan, Alexander; Ouyang, Shunxiang; Röckner, Michael 2 2018 Variational solutions to nonlinear stochastic differential equations in Hilbert spaces. Zbl 1427.60115Barbu, Viorel; Röckner, Michael 2 2018 Stochastic heat equations with values in a Riemannian manifold. Zbl 1391.60160Röckner, Michael; Wu, Bo; Zhu, Rongchan; Zhu, Xiangchan 2 2018 Restricted Markov uniqueness for the stochastic quantization of \(P(\Phi)_{2}\) and its applications. Zbl 1405.60096Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan 22 2017 Stochastic variational inequalities and regularity for degenerate stochastic partial differential equations. Zbl 1360.60123Gess, Benjamin; Röckner, Michael 12 2017 Stochastic nonlinear Schrödinger equations: no blow-up in the non-conservative case. Zbl 1378.60088Barbu, Viorel; Röckner, Michael; Zhang, Deng 11 2017 The stochastic logarithmic Schrödinger equation. Zbl 1360.60119Barbu, Viorel; Röckner, Michael; Zhang, Deng 10 2017 Ergodicity for the stochastic quantization problems on the 2D-torus. Zbl 1376.81045Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan 10 2017 Global solutions to random 3D vorticity equations for small initial data. Zbl 1409.60094Barbu, Viorel; Röckner, Michael 7 2017 A splitting algorithm for stochastic partial differential equations driven by linear multiplicative noise. Zbl 1387.60095Barbu, Viorel; Röckner, Michael 5 2017 Uniqueness for a class of stochastic Fokker-Planck and porous media equations. Zbl 1377.35297Röckner, Michael; Russo, Francesco 5 2017 Doubly probabilistic representation for the stochastic porous media type equation. Zbl 1387.35635Barbu, Viorel; Röckner, Michael; Russo, Francesco 4 2017 Stochastic porous media equations. Zbl 1355.60004Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael 32 2016 On the maximal inequalities of Burkholder, Davis and Gundy. Zbl 1335.60064Marinelli, Carlo; Röckner, Michael 30 2016 Stochastic nonlinear Schrödinger equations. Zbl 1336.60118Barbu, Viorel; Röckner, Michael; Zhang, Deng 30 2016 Distances between transition probabilities of diffusions and applications to nonlinear Fokker-Planck-Kolmogorov equations. Zbl 1345.35051Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. 27 2016 Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. Zbl 1347.60077Da Prato, G.; Flandoli, F.; Röckner, M.; Veretennikov, A. Yu. 22 2016 Non-symmetric distorted Brownian motion: strong solutions, strong Feller property and non-explosion results. Zbl 1364.31012Röckner, Michael; Shin, Jiyong; Trutnau, Gerald 7 2016 Time inhomogeneous generalized Mehler semigroups and skew convolution equations. Zbl 1348.60117Ouyang, Shun-Xiang; Röckner, Michael 5 2016 Backward uniqueness of stochastic parabolic like equations driven by Gaussian multiplicative noise. Zbl 1336.60117Barbu, Viorel; Röckner, Michael 3 2016 Stochastic partial differential equations: an introduction. Zbl 1361.60002Liu, Wei; Röckner, Michael 176 2015 Fokker-Planck-Kolmogorov equations. Zbl 1342.35002Bogachev, Vladimir I.; Krylov, Nicolai V.; Röckner, Michael; Shaposhnikov, Stanislav V. 112 2015 An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise. Zbl 1327.60122Barbu, Viorel; Röckner, Michael 35 2015 A Milstein scheme for SPDEs. Zbl 1318.60072Jentzen, Arnulf; Röckner, Michael 31 2015 Strong uniqueness for stochastic evolution equations with unbounded measurable drift term. Zbl 1332.60091Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M. 22 2015 Sub and supercritical stochastic quasi-geostrophic equation. Zbl 1322.60121Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan 19 2015 Singular-degenerate multivalued stochastic fast diffusion equations. Zbl 1330.60080Gess, Benjamin; Röckner, Michael 12 2015 An analytic approach to infinite-dimensional continuity and Fokker-Planck-Kolmogorov equations. Zbl 1332.60099Bogachev, Vladimir I.; Da Prato, Giuseppe; Röckner, Michael; Shaposhnikov, Stanislav V. 11 2015 Stochastic porous media equations in \(\mathbb R^d\). Zbl 1405.76047Barbu, Viorel; Röckner, Michael; Russo, Francesco 11 2015 Uniqueness problems for degenerate Fokker-Planck-Kolmogorov equations. Zbl 1321.35242Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. 9 2015 On the uniqueness of solutions to continuity equations. Zbl 1333.35312Bogachev, V. I.; Da Prato, G.; Röckner, M.; Shaposhnikov, S. V. 8 2015 Existence and uniqueness of solutions to stochastic functional differential equations in infinite dimensions. Zbl 1322.60122Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan 7 2015 Quasi regular Dirichlet forms and the stochastic quantization problem. Zbl 1336.31022Albeverio, Sergio; Ma, Zhi-Ming; Röckner, Michael 6 2015 BV functions in a Gelfand triple for differentiable measure and its applications. Zbl 1348.60079Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan 6 2015 On the existence of the dual right Markov process and applications. Zbl 1317.60094Beznea, Lucian; Röckner, Michael 4 2015 Stochastic nonlinear Schrödinger equations with linear multiplicative noise: rescaling approach. Zbl 1300.35116Barbu, Viorel; Röckner, Michael; Zhang, Deng 33 2014 On maximal inequalities for purely discontinuous martingales in infinite dimensions. Zbl 1390.60164Marinelli, Carlo; Röckner, Michael 25 2014 Local existence and non-explosion of solutions for stochastic fractional partial differential equations driven by multiplicative noise. Zbl 1329.60220Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan 24 2014 Uniqueness for continuity equations in Hilbert spaces with weakly differentiable drift. Zbl 1328.35015Da Prato, Giuseppe; Flandoli, Franco; Röckner, Michael 8 2014 On continuity equations in infinite dimensions with non-Gaussian reference measure. Zbl 1317.60083Kolesnikov, Alexander V.; Röckner, Michael 7 2014 On parabolic inequalities for generators of diffusions with jumps. Zbl 1293.60073Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V. 3 2014 A note on stochastic semilinear equations and their associated Fokker-Planck equations. Zbl 1308.60079Röckner, Michael; Zhu, Rongchan; Zhu, Xiangchan 3 2014 A homeomorphism relating path spaces of stochastic processes with values in \(\mathbb R^{\mathbb Z}\) respectively \((S^{1})^{\mathbb Z}\). Zbl 1432.60042Albeverio, Sergio; Röckner, Michael; Yoshida, Minoru W. 1 2014 On existence of Lyapunov functions for a stationary Kolmogorov equation with a probability solution. Zbl 1339.60083Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. 1 2014 Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift. Zbl 1291.35455Da Prato, G.; Flandoli, F.; Priola, E.; Röckner, M. 61 2013 Local and global well-posedness of SPDE with generalized coercivity conditions. Zbl 1264.60046Liu, Wei; Röckner, Michael 48 2013 Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise. Zbl 1286.35202Barbu, Viorel; Röckner, Michael 28 2013 Vector analysis for Dirichlet forms and quasilinear PDE and SPDE on metric measure spaces. Zbl 1290.35355Hinz, Michael; Röckner, Michael; Teplyaev, Alexander 23 2013 Large deviation principles for the stochastic quasi-geostrophic equations. Zbl 1291.60133Liu, Wei; Röckner, Michael; Zhu, Xiang-Chan 19 2013 Gibbs states over the cone of discrete measures. Zbl 1285.82035Hagedorn, Dennis; Kondratiev, Yuri; Pasurek, Tanja; Röckner, Michael 9 2013 On uniqueness of solutions to the Cauchy problem for degenerate Fokker-Planck-Kolmogorov equations. Zbl 1273.35271Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V. 8 2013 General extinction results for stochastic partial differential equations and applications. Zbl 1288.60078Röckner, Michael; Wang, Feng-Yu 4 2013 The finite speed of propagation for solutions to nonlinear stochastic wave equations driven by multiplicative noise. Zbl 1286.60057Barbu, Viorel; Röckner, Michael 2 2013 ...and 242 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,254 Authors 218 Röckner, Michael 77 Albeverio, Sergio A. 73 Bogachev, Vladimir Igorevich 72 Kondrat’yev, Yuriĭ Grygorovych 66 Wang, Feng-Yu 59 Barbu, Viorel 58 Shaposhnikov, Stanislav V. 52 Da Prato, Giuseppe 50 Zhang, Tusheng S. 42 Flandoli, Franco 39 Liu, Wei 36 Zhang, Xicheng 33 Zhu, RongChan 30 Chen, Zhen-Qing 30 Zhai, Jianliang 28 Zhu, Xiang-Chan 27 Beznea, Lucian 27 Gess, Benjamin 27 Jentzen, Arnulf 27 Kozitsky, Yuri Vasil’evich 25 Grothaus, Martin 25 Huang, Xing 25 Luo, Dejun 24 Brzeźniak, Zdzisław 24 Sun, Wei 23 Wang, Bixiang 22 Daletskii, Alexei 21 Kutoviy, Oleksandr V. 21 Scarpa, Luca 21 Xie, Longjie 21 Yuan, Chenggui 19 Lytvynov, Eugene W. 19 Marinelli, Carlo 18 Mohan, Manil Thankamani 18 Stannat, Wilhelm 18 Wu, Jianglun 17 Ma, Zhi-Ming 17 Russo, Francesco 16 Finkelshteĭn, Dmitriĭ Leonidovich 16 Hinz, Michael 16 Priola, Enrico 16 Xu, Lihu 15 Duan, Jinqiao 15 Gao, Hongjun 15 Kuwae, Kazuhiro 15 Lorenzi, Luca 15 Pasurek, Tatiana 15 Wu, Liming 15 Xie, Yingchao 14 Dong, Zhao 14 Fukushima, Masatoshi 14 Guillin, Arnaud 14 Li, Shihu 14 Lunardi, Alessandra 14 Wang, Jian 14 Wang, Ran 14 Wei, Jinlong 13 Bao, Jianhai 13 Cattiaux, Patrick 13 Hofmanová, Martina 13 Lv, Guangying 13 Ren, Panpan 13 Schilling, René Leander 13 Sun, Xiaobin 13 Trutnau, Gerald 13 Yi, Yingfei 12 Ciotir, Ioana 12 Osada, Hirofumi 12 Tambue, Antoine 12 Teplyaev, Alexander 12 Zhang, Deng 12 Zhang, Shaoqin 11 Debussche, Arnaud 11 Deugoue, Gabriel 11 Gubinelli, Massimiliano 11 Hairer, Martin 11 Hong, Wei 11 Larsson, Stig 11 Tachim Medjo, Theodore 11 Tappe, Stefan 10 Angiuli, Luciana 10 Deng, Changsong 10 Gu, Anhui 10 Liu, Zhenxin 10 Rebenko, Alexei L. 10 Salins, Michael 10 Temam, Roger Meyer 10 Vallet, Guy 10 Yan, Litan 10 Zambotti, Lorenzo 10 Zegarlinski, Boguslaw 9 Addona, Davide 9 Ambrosio, Luigi 9 Caraballo Garrido, Tomás 9 Fan, Xiliang 9 Ferrari, Simone 9 Fitzsimmons, Patrick J. 9 Hong, Jialin 9 Ji, Min 9 Kovács, Mihály ...and 2,154 more Authors all top 5 Cited in 316 Serials 170 Journal of Functional Analysis 143 Stochastic Processes and their Applications 128 Journal of Differential Equations 110 Potential Analysis 88 The Annals of Probability 87 Journal of Mathematical Analysis and Applications 74 Stochastic and Partial Differential Equations. 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Series A ...and 216 more Serials all top 5 Cited in 53 Fields 2,271 Probability theory and stochastic processes (60-XX) 1,306 Partial differential equations (35-XX) 389 Operator theory (47-XX) 253 Dynamical systems and ergodic theory (37-XX) 236 Statistical mechanics, structure of matter (82-XX) 231 Potential theory (31-XX) 229 Numerical analysis (65-XX) 209 Fluid mechanics (76-XX) 147 Functional analysis (46-XX) 144 Global analysis, analysis on manifolds (58-XX) 131 Ordinary differential equations (34-XX) 103 Quantum theory (81-XX) 102 Systems theory; control (93-XX) 98 Calculus of variations and optimal control; optimization (49-XX) 90 Measure and integration (28-XX) 75 Biology and other natural sciences (92-XX) 61 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 49 Real functions (26-XX) 31 Statistics (62-XX) 30 Geophysics (86-XX) 28 Differential geometry (53-XX) 21 Integral equations (45-XX) 19 Mechanics of particles and systems (70-XX) 16 Difference and functional equations (39-XX) 15 Approximations and expansions (41-XX) 14 Mechanics of deformable solids (74-XX) 14 Classical thermodynamics, heat transfer (80-XX) 13 Functions of a complex variable (30-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Operations research, mathematical programming (90-XX) 11 Information and communication theory, circuits (94-XX) 9 Integral transforms, operational calculus (44-XX) 8 Combinatorics (05-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Computer science (68-XX) 7 Special functions (33-XX) 7 Optics, electromagnetic theory (78-XX) 6 Topological groups, Lie groups (22-XX) 5 Number theory (11-XX) 5 Relativity and gravitational theory (83-XX) 4 Several complex variables and analytic spaces (32-XX) 3 History and biography (01-XX) 3 Associative rings and algebras (16-XX) 3 Group theory and generalizations (20-XX) 3 Abstract harmonic analysis (43-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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