Edit Profile (opens in new tab) Otto, Felix Co-Author Distance Author ID: otto.felix Published as: Otto, Felix; Otto, F.; Otto, Félix more...less Homepage: https://www.mis.mpg.de/de/people/felix-otto External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Videos: carmin.tv Documents Indexed: 179 Publications since 1995, including 17 Additional arXiv Preprints 4 Contributions as Editor · 1 Further Contribution Co-Authors: 123 Co-Authors with 169 Joint Publications 3,089 Co-Co-Authors all top 5 Co-Authors 14 single-authored 12 Gloria, Antoine 12 Kohn, Robert Vita 9 DeSimone, Antonio 9 Giacomelli, Lorenzo 8 Niethammer, Barbara 7 Müller, Stefan 6 Conti, Sergio 6 Goldman, Michael 6 Knüpfer, Hans 6 Weber, Hendrik 6 Westdickenberg, Maria G. 5 Bella, Peter 5 Huesmann, Martin 5 Ignat, Radu 5 Neukamm, Stefan 5 Westdickenberg, Michael 4 Choksi, Rustum 4 Giunti, Arianna 4 Jordan, Richard 4 Kinderlehrer, David 4 Lu, Jianfeng 4 Nobili, Camilla 4 Reznikoff, Maria G. 4 Rump, Tobias 4 Tempelmayr, Markus 3 Cantero-Álvarez, Rubén 3 Capella, Antonio 3 De Lellis, Camillo 3 Duerinckx, Mitia 3 Fischer, Julian 3 Gnann, Manuel V. 3 Hönig, Andreas 3 Josien, Marc 3 Laux, Tim 3 Linares, Pablo 3 Menz, Georg 3 Morfe, Peter S. 3 Seis, Christian 3 Slepčev, Dejan 3 Steiner, Jutta 3 Villani, Cédric 3 Wagner, Christian 2 Choffrut, Antoine 2 Dizdar, Deniz 2 Fehrman, Benjamin J. 2 Gigli, Nicola 2 Grunewald, Natalie 2 Helzel, Christiane 2 Jabin, Pierre-Emmanuel 2 Marahrens, Daniel 2 Mattesini, Francesco 2 Menon, Govind K. 2 Mourrat, Jean-Christophe 2 Penzler, Patrick 2 Ried, Tobias 2 Sauer, Jonas 2 Schäfer, Rudolf 2 Serfaty, Sylvia 2 Tsatsoulis, Pavlos 2 Wang, Lihan 2 Wu, Tianqi 1 Alberti, Giovanni 1 Ball, John MacLeod 1 Bellová, Katarína 1 Bhattacharya, Kaushik 1 Brenier, Yann 1 Bringmann, Björn 1 Broux, Lucas 1 Chatzigeorgiou, Georgiana 1 Chugreeva, Olga 1 Cinti, Eleonora 1 Clozeau, Nicolas 1 Conlon, Joseph G. 1 Crippa, Gianluca 1 Davis, Stephen Howard 1 Doering, Charles Rogers 1 Dolzmann, Georg 1 Döring, Lukas 1 E, Weinan 1 Esedoglu, Selim 1 Esselborn, Elias 1 Feireisl, Eduard 1 Gess, Benjamin 1 Glasner, Karl B. 1 Gvalani, Rishabh S. 1 Henseler, Reiner Thorsten 1 Ioffe, Dmitry 1 Jourdain, Benjamin 1 Julia, Antoine 1 Khoromskaia, Venera 1 Khoromskiĭ, Boris Nikolaevich 1 Kirsten, Jorrit 1 Knabner, Peter 1 Koch, Lukas 1 Kružík, Martin 1 Kunick, Florian 1 Lamacz, Agnes 1 Lamy, Xavier 1 Le Bris, Claude 1 Lelièvre, Tony ...and 26 more Co-Authors all top 5 Serials 14 Communications on Pure and Applied Mathematics 10 Calculus of Variations and Partial Differential Equations 9 SIAM Journal on Mathematical Analysis 7 Communications in Mathematical Physics 7 Journal of Differential Equations 6 Journal of Functional Analysis 6 Communications in Partial Differential Equations 4 Archive for Rational Mechanics and Analysis 4 Journal of Nonlinear Science 4 Journal of the European Mathematical Society (JEMS) 4 Oberwolfach Reports 3 Journal of Statistical Physics 3 Nonlinearity 3 The Annals of Probability 3 Probability Theory and Related Fields 3 Electronic Journal of Probability 3 Stochastic and Partial Differential Equations. Analysis and Computations 2 Journal of Mathematical Physics 2 Inventiones Mathematicae 2 Quarterly of Applied Mathematics 2 Physica D 2 European Journal of Applied Mathematics 2 The Annals of Applied Probability 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Comptes Rendus de l’Académie des Sciences. Série I 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Interfaces and Free Boundaries 2 Foundations of Computational Mathematics 2 Multiscale Modeling & Simulation 2 Communications in Mathematical Sciences 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematics of Computation 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Manuscripta Mathematica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Mathematica Bohemica 1 SIAM Journal on Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Advances in Mathematical Sciences and Applications 1 Numerical Linear Algebra with Applications 1 Matemática Contemporânea 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Milan Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Hyperbolic Differential Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Lecture Notes in Mathematics 1 Networks and Heterogeneous Media 1 Analysis & PDE 1 The Journal of Chemical Physics 1 Annals of PDE 1 Journal de l’École Polytechnique – Mathématiques 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Communications of the American Mathematical Society all top 5 Fields 115 Partial differential equations (35-XX) 50 Statistical mechanics, structure of matter (82-XX) 44 Probability theory and stochastic processes (60-XX) 41 Fluid mechanics (76-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 25 Mechanics of deformable solids (74-XX) 13 Optics, electromagnetic theory (78-XX) 11 Numerical analysis (65-XX) 6 Difference and functional equations (39-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 General and overarching topics; collections (00-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Measure and integration (28-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Operator theory (47-XX) 4 Differential geometry (53-XX) 3 Quantum theory (81-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 152 Publications have been cited 5,495 times in 3,049 Documents Cited by ▼ Year ▼ The variational formulation of the Fokker-Planck equation. Zbl 0915.35120 Jordan, Richard; Kinderlehrer, David; Otto, Felix 672 1998 The geometry of dissipative evolution equations: The porous medium equation. Zbl 0984.35089 Otto, Felix 642 2001 Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality. Zbl 0985.58019 Otto, F.; Villani, C. 411 2000 \(L^ 1\)-contraction and uniqueness for quasilinear elliptic-parabolic equations. Zbl 0862.35078 Otto, Felix 141 1996 An optimal variance estimate in stochastic homogenization of discrete elliptic equations. Zbl 1215.35025 Gloria, Antoine; Otto, Felix 133 2011 Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics. Zbl 1314.39020 Gloria, A.; Neukamm, S.; Otto, F. 125 2015 Initial-boundary value problem for a scalar conservation law. Zbl 0852.35013 Otto, Felix 113 1996 Threshold dynamics for networks with arbitrary surface tensions. Zbl 1334.82072 Esedoḡlu, Selim; Otto, Felix 86 2015 An optimal error estimate in stochastic homogenization of discrete elliptic equations. Zbl 1387.35031 Gloria, Antoine; Otto, Felix 84 2012 A regularity theory for random elliptic operators. Zbl 1440.35064 Gloria, Antoine; Neukamm, Stefan; Otto, Felix 82 2020 A reduced theory for thin-film micromagnetics. Zbl 1027.82042 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 74 2002 Quantitative results on the corrector equation in stochastic homogenization. Zbl 1387.35032 Gloria, Antoine; Otto, Felix 70 2017 Domain branching in uniaxial ferromagnets: A scaling law for the minimum energy. Zbl 1023.82011 Choksi, Rustum; Kohn, Robert V.; Otto, Felix 69 1999 An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations. Zbl 1307.35029 Gloria, Antoine; Neukamm, Stefan; Otto, Felix 69 2014 Uniform energy distribution for an isoperimetric problem with long-range interactions. Zbl 1206.49046 Alberti, Giovanni; Choksi, Rustum; Otto, Felix 65 2009 Smooth zero-contact-angle solutions to a thin-film equation around the steady state. Zbl 1159.35039 Giacomelli, Lorenzo; Knüpfer, Hans; Otto, Felix 64 2008 Nonexistence of a minimizer for Thomas-Fermi-Dirac-von Weizsäcker model. Zbl 1301.49002 Lu, Jianfeng; Otto, Felix 64 2014 Lubrication approximation with prescribed nonzero contact angle. Zbl 0923.35211 Otto, Felix 63 1998 Dynamics of labyrinthine pattern formation in magnetic fluids: A mean-field theory. Zbl 0905.35068 Otto, Felix 62 1998 A compactness result in the gradient theory of phase transitions. Zbl 0986.49009 DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix 59 2001 Upper bounds on coarsening rates. Zbl 1004.82011 Kohn, Robert V.; Otto, Felix 59 2002 Structure of entropy solutions for multi-dimensional scalar conservation laws. Zbl 1036.35127 De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael 56 2003 Recent analytical developments in micromagnetics. Zbl 1151.35426 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 54 2006 Eulerian calculus for the contraction in the Wasserstein distance. Zbl 1094.58016 Otto, Felix; Westdickenberg, Michael 53 2006 New bounds for the Kuramoto-Sivashinsky equation. Zbl 1062.35113 Giacomelli, Lorenzo; Otto, Felix 53 2005 Variational formulation for the lubrication approximation of the Hele-Shaw flow. Zbl 1086.35004 Giacomelli, Lorenzo; Otto, Felix 49 2001 Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh–Bénard convection. Zbl 1122.76080 Doering, Charles R.; Otto, Felix; Reznikoff, Maria G. 48 2006 Convergence of the thresholding scheme for multi-phase mean-curvature flow. Zbl 1388.35121 Laux, Tim; Otto, Felix 45 2016 Annealed estimates on the Green function. Zbl 1342.60101 Marahrens, Daniel; Otto, Felix 43 2015 Coarsening dynamics of the convective Cahn-Hilliard equation. Zbl 1011.76021 Watson, Stephen J.; Otto, Felix; Rubinstein, Boris Y.; Davis, Stephen H. 43 2003 Rigorous lubrication approximation. Zbl 1039.76012 Giacomelli, Lorenzo; Otto, Felix 42 2003 Evolution of microstructure in unstable porous media flow: A relaxational approach. Zbl 0929.76136 Otto, Felix 41 1999 Quasilinear SPDEs via rough paths. Zbl 1426.60090 Otto, Felix; Weber, Hendrik 41 2019 Minimal entropy cnditions for Burgers equation. Zbl 1211.35184 De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael 40 2004 Continuity of velocity gradients in suspensions of rod-like molecules. Zbl 1158.76051 Otto, Felix; Tzavaras, Athanasios E. 40 2008 Long-time asymptotics of a multiscale model for polymeric fluid flows. Zbl 1089.76006 Jourdain, Benjamin; Le Bris, Claude; Lelièvre, Tony; Otto, Félix 38 2006 Action minimization and sharp-interface limits for the stochastic Allen-Cahn equation. Zbl 1154.35021 Kohn, Robert V.; Otto, Felix; Reznikoff, Maria G.; Vanden-Eijnden, Eric 37 2007 The structure of fluctuations in stochastic homogenization. Zbl 1441.35026 Duerinckx, Mitia; Gloria, Antoine; Otto, Felix 37 2020 Nucleation barriers for the cubic-to-tetragonal phase transformation. Zbl 1322.74057 Knüpfer, Hans; Kohn, Robert V.; Otto, Felix 36 2013 Well-posedness for the Navier-slip thin-film equation in the case of complete wetting. Zbl 1302.35218 Giacomelli, Lorenzo; Gnann, Manuel V.; Knüpfer, Hans; Otto, Felix 36 2014 A quantitative rigidity result for the cubic-to-tetragonal phase transition in the geometrically linear theory with interfacial energy. Zbl 1251.82049 Capella, Antonio; Otto, Felix 35 2012 A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit. Zbl 1179.60068 Grunewald, Natalie; Otto, Felix; Villani, Cédric; Westdickenberg, Maria G. 34 2009 Structure of entropy solutions to the eikonal equation. Zbl 1053.49028 De Lellis, Camillo; Otto, Felix 34 2003 Optimal bounds on the Kuramoto-Sivashinsky equation. Zbl 1194.35082 Otto, Felix 34 2009 Ground state energy scaling laws during the onset and destruction of the intermediate state in a type I superconductor. Zbl 1142.82031 Choksi, Rustum; Conti, Sergio; Kohn, Robert V.; Otto, Felix 33 2008 Free energy and the Fokker-Planck equation. Zbl 1029.82507 Jordan, Richard; Kinderlehrer, David; Otto, Felix 32 1997 A higher-order large-scale regularity theory for random elliptic operators. Zbl 1349.35440 Fischer, Julian; Otto, Felix 31 2016 Identification of the dilute regime in particle sedimentation. Zbl 1059.76073 Jabin, Pierre-Emmanuel; Otto, Felix 31 2004 A rigidity result for a perturbation of the geometrically linear three-well problem. Zbl 1331.82064 Capella, Antonio; Otto, Felix 31 2009 Line-energy Ginzburg-Landau models: zero-energy states. Zbl 1072.35051 Otto, Felix; Jabin, Pierre-Emmanuel; Perthame, Benoît 30 2002 A new criterion for the logarithmic Sobolev inequality and two applications. Zbl 1109.60013 Otto, Felix; Reznikoff, Maria G. 29 2007 Slow motion of gradient flows. Zbl 1138.35036 Otto, Felix; Reznikoff, Maria G. 28 2007 Regularity of source-type solutions to the thin-film equation with zero contact angle and mobility exponent between \(3/2\) and 3. Zbl 1292.35067 Giacomelli, Lorenzo; Gnann, Manuel V.; Otto, Felix 27 2013 Magnetic microstructures – a paradigm of multiscale problems. Zbl 0991.82038 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 27 2000 Rayleigh-Bénard convection: Improved bounds on the Nusselt number. Zbl 1272.76229 Otto, Felix; Seis, Christian 27 2011 Higher-order pathwise theory of fluctuations in stochastic homogenization. Zbl 1456.35017 Duerinckx, Mitia; Otto, Felix 26 2020 2-D stability of the Néel wall. Zbl 1158.78300 DeSimone, Antonio; Knüpfer, Hans; Otto, Felix 26 2006 Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic single-site potential. Zbl 1282.60096 Menz, Georg; Otto, Felix 25 2013 Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization. Zbl 1343.35018 Gloria, Antoine; Otto, Félix 24 2015 Wave-type dynamics in ferromagnetic thin films and the motion of Néel walls. Zbl 1135.82037 Capella, Antonio; Melcher, Christof; Otto, Felix 23 2007 Energy minimization and flux domain structure in the intermediate state of a type-I superconductor. Zbl 1136.82044 Choksi, R.; Kohn, R. V.; Otto, F. 22 2004 Quantitative estimates in stochastic homogenization for correlated coefficient fields. Zbl 1485.35156 Gloria, Antoine; Neukamm, Stefan; Otto, Felix 22 2021 A Liouville theorem for elliptic systems with degenerate ergodic coefficients. Zbl 1400.35129 Bella, Peter; Fehrman, Benjamin; Otto, Felix 21 2018 \(L^ 1\)-contraction and uniqueness for unstationary saturated-unsaturated porous media flow. Zbl 0888.35085 Otto, Felix 20 1997 Stochastic homogenization of linear elliptic equations: higher-order error estimates in weak norms via second-order correctors. Zbl 1380.35011 Bella, Peter; Fehrman, Benjamin; Fischer, Julian; Otto, Felix 20 2017 A compactness result in thin-film micromagnetics and the optimality of the Néel wall. Zbl 1158.78011 Ignat, Radu; Otto, Felix 20 2008 Domain branching in uniaxial ferromagnets: asymptotic behavior of the energy. Zbl 1193.49046 Otto, Felix; Viehmann, Thomas 19 2010 Correlation structure of the corrector in stochastic homogenization. Zbl 1353.35040 Mourrat, Jean-Christophe; Otto, Felix 19 2016 A compactness result for Landau state in thin-film micromagnetics. Zbl 1216.49041 Ignat, Radu; Otto, Felix 18 2011 New bounds for the inhomogenous Burgers and the Kuramoto-Sivashinsky equations. Zbl 1452.35168 Goldman, Michael; Josien, Marc; Otto, Felix 18 2015 Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate environments. Zbl 1330.35010 Mourrat, Jean-Christophe; Otto, Felix 18 2016 Droplet spreading: Intermediate scaling law by PDE methods. Zbl 1021.76014 Giacomelli, Lorenzo; Otto, Felix 18 2002 Coarsening rates for a droplet model: rigorous upper bounds. Zbl 1298.76027 Otto, Felix; Rump, Tobias; Slepcev, Dejan 17 2007 Upper bounds on coarsening rates in demixing binary viscous liquids. Zbl 1226.82045 Brenier, Yann; Otto, Felix; Seis, Christian 17 2011 Regularizing effect of nonlinearity in multidimensional scalar conservation laws. Zbl 1155.35400 Crippa, Gianluca; Otto, Felix; Westdickenberg, Michael 16 2008 Two-dimensional modelling of soft ferromagnetic films. Zbl 1065.74028 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix; Schäfer, Rudolf 16 2001 Ostwald ripening: The screening length revisited. Zbl 0988.35021 Niethammer, Barbara; Otto, Felix 15 2001 Quantitative stochastic homogenization: local control of homogenization error through corrector. Zbl 1380.82040 Bella, Peter; Giunti, Arianna; Otto, Felix 14 2017 Thermodynamically driven incompressible fluid mixtures. Zbl 1110.76307 Otto, Felix; E, Weinan 14 1997 Repulsive interaction of Néel walls, and the internal length scale of the cross-tie wall. Zbl 1059.82046 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 14 2003 Moment bounds for the corrector in stochastic homogenization of a percolation model. Zbl 1326.39015 Lamacz, Agnes; Neukamm, Stefan; Otto, Felix 13 2015 Solute transport in porous media with equilibrium and nonequilibrium multiple-site adsorption: Uniqueness of weak solutions. Zbl 0958.35074 Knabner, P.; Otto, F. 13 2000 Robustness of the pathwise structure of fluctuations in stochastic homogenization. Zbl 1469.60102 Duerinckx, Mitia; Gloria, Antoine; Otto, Felix 13 2020 Sublinear growth of the corrector in stochastic homogenization: optimal stochastic estimates for slowly decaying correlations. Zbl 1387.35029 Fischer, Julian; Otto, Felix 13 2017 Limitations of the background field method applied to Rayleigh-Bénard convection. Zbl 1372.76096 Nobili, Camilla; Otto, Felix 13 2017 Upper bounds on Nusselt number at finite Prandtl number. Zbl 1333.35185 Choffrut, Antoine; Nobili, Camilla; Otto, Felix 12 2016 Branched microstructures in the Ginzburg-Landau model of type-I superconductors. Zbl 1351.82116 Conti, Sergio; Otto, Felix; Serfaty, Sylvia 12 2016 Corrector estimates for elliptic systems with random periodic coefficients. Zbl 1351.35273 Bella, Peter; Otto, Felix 12 2016 The annealed Calderón-Zygmund estimate as convenient tool in quantitative stochastic homogenization. Zbl 1494.35022 Josien, Marc; Otto, Felix 12 2022 The structure group for quasi-linear equations via universal enveloping algebras. Zbl 1535.60156 Linares, Pablo; Otto, Felix; Tempelmayr, Markus 12 2023 Crossover of the coarsening rates in demixing of binary viscous liquids. Zbl 1325.35091 Otto, Felix; Seis, Christian; Slepčev, Dejan 11 2013 Viscous fingering: An optimal bound on the growth rate of the mixing zone. Zbl 0901.76082 Otto, Felix 11 1997 The concertina pattern. From micromagnetics to domain theory. Zbl 1237.78036 Otto, Felix; Steiner, Jutta 11 2010 On the regularity of weak solutions to Burgers’ equation with finite entropy production. Zbl 1409.35139 Lamy, Xavier; Otto, Felix 11 2018 A new model for contact angle hysteresis. Zbl 1125.76011 DeSimone, Antonio; Grunewald, Natalie; Otto, Felix 11 2007 Entropic Burgers’ equation via a minimizing movement scheme based on the Wasserstein metric. Zbl 1350.76054 Gigli, Nicola; Otto, Felix 10 2013 Relaxation to equilibrium in the one-dimensional Cahn-Hilliard equation. Zbl 1288.35087 Otto, Felix; Westdickenberg, Maria G. 10 2014 Effective multipoles in random media. Zbl 1442.35020 Bella, Peter; Giunti, Arianna; Otto, Felix 10 2020 Rigorous asymptotics of traveling-wave solutions to the thin-film equation and Tanner’s law. Zbl 1345.35074 Giacomelli, Lorenzo; Gnann, Manuel V.; Otto, Felix 10 2016 Multiscale simulations for suspensions of rod-like molecules. Zbl 1107.82040 Helzel, Christiane; Otto, Felix 10 2006 A diagram-free approach to the stochastic estimates in regularity structures. Zbl 07895067 Linares, Pablo; Otto, Felix; Tempelmayr, Markus; Tsatsoulis, Pavlos 1 2024 Bias in the representative volume element method: periodize the ensemble instead of its realizations. Zbl 07900829 Clozeau, Nicolas; Josien, Marc; Otto, Felix; Xu, Qiang 1 2024 The structure group for quasi-linear equations via universal enveloping algebras. Zbl 1535.60156 Linares, Pablo; Otto, Felix; Tempelmayr, Markus 12 2023 Lecture notes on tree-free regularity structures. Zbl 07856283 Otto, Felix; Seong, Kihoon; Tempelmayr, Markus 2 2023 Variational methods for a singular SPDE yielding the universality of the magnetization ripple. Zbl 1524.60153 Ignat, Radu; Otto, Felix; Ried, Tobias; Tsatsoulis, Pavlos 2 2023 The annealed Calderón-Zygmund estimate as convenient tool in quantitative stochastic homogenization. Zbl 1494.35022 Josien, Marc; Otto, Felix 12 2022 On the existence of the Green function for elliptic systems in divergence form. Zbl 1482.35082 Giunti, Arianna; Otto, Felix 1 2022 Uniform energy distribution in a pattern-forming system of surface charges. Zbl 1487.49049 Bellova, Katarina; Julia, Antoine; Otto, Felix 1 2022 Quantitative estimates in stochastic homogenization for correlated coefficient fields. Zbl 1485.35156 Gloria, Antoine; Neukamm, Stefan; Otto, Felix 22 2021 Quantitative linearization results for the Monge-Ampère equation. Zbl 1480.35082 Goldman, Michael; Huesmann, Martin; Otto, Felix 8 2021 The thresholding scheme for mean curvature flow and de Giorgi’s ideas for minimizing movements. Zbl 1486.65112 Laux, Tim; Otto, Felix 6 2021 Sharp boundary \(\varepsilon\)-regularity of optimal transport maps. Zbl 1459.49032 Miura, Tatsuya; Otto, Felix 3 2021 Variational approach to regularity of optimal transport maps: general cost functions. Zbl 1496.49025 Otto, Felix; Prod’homme, Maxime; Ried, Tobias 3 2021 Optimal artificial boundary condition for random elliptic media. Zbl 1481.35035 Lu, Jianfeng; Otto, Felix 3 2021 A regularity theory for random elliptic operators. Zbl 1440.35064 Gloria, Antoine; Neukamm, Stefan; Otto, Felix 82 2020 The structure of fluctuations in stochastic homogenization. Zbl 1441.35026 Duerinckx, Mitia; Gloria, Antoine; Otto, Felix 37 2020 Higher-order pathwise theory of fluctuations in stochastic homogenization. Zbl 1456.35017 Duerinckx, Mitia; Otto, Felix 26 2020 Robustness of the pathwise structure of fluctuations in stochastic homogenization. Zbl 1469.60102 Duerinckx, Mitia; Gloria, Antoine; Otto, Felix 13 2020 Effective multipoles in random media. Zbl 1442.35020 Bella, Peter; Giunti, Arianna; Otto, Felix 10 2020 A variational proof of partial regularity for optimal transportation maps. Zbl 1465.35263 Goldman, Michael; Otto, Felix 9 2020 Brakke’s inequality for the thresholding scheme. Zbl 07161205 Laux, Tim; Otto, Felix 9 2020 Numerical study in stochastic homogenization for elliptic partial differential equations: convergence rate in the size of representative volume elements. Zbl 1538.65110 Khoromskaia, Venera; Khoromskij, Boris N.; Otto, Felix 6 2020 Quasilinear SPDEs via rough paths. Zbl 1426.60090 Otto, Felix; Weber, Hendrik 41 2019 Nucleation barriers for the cubic-to-tetragonal phase transformation in the absence of self-accommodation. Zbl 07805131 Knüpfer, Hans; Otto, Felix 9 2019 Optimal \(L^1\)-type relaxation rates for the Cahn-Hilliard equation on the line. Zbl 1461.35058 Otto, Felix; Scholtes, Sebastian; Westdickenberg, Maria G. 6 2019 Relaxation to a planar interface in the Mullins-Sekerka problem. Zbl 1427.35375 Chugreeva, Olga; Otto, Felix; Westdickenberg, Maria G. 5 2019 Quasi-linear SPDEs in divergence form. Zbl 1436.60066 Otto, Felix; Weber, Hendrik 5 2019 The magnetization ripple: a nonlocal stochastic PDE perspective. Zbl 1426.35240 Ignat, Radu; Otto, Felix 4 2019 A Liouville theorem for elliptic systems with degenerate ergodic coefficients. Zbl 1400.35129 Bella, Peter; Fehrman, Benjamin; Otto, Felix 21 2018 On the regularity of weak solutions to Burgers’ equation with finite entropy production. Zbl 1409.35139 Lamy, Xavier; Otto, Felix 11 2018 A branched transport limit of the Ginzburg-Landau functional. (Dérivation d’une fonctionnelle de type transport branché à partir du modèle de Ginzburg-Landau.) Zbl 1405.35201 Conti, Sergio; Goldman, Michael; Otto, Felix; Serfaty, Sylvia 7 2018 Quantitative results on the corrector equation in stochastic homogenization. Zbl 1387.35032 Gloria, Antoine; Otto, Felix 70 2017 Stochastic homogenization of linear elliptic equations: higher-order error estimates in weak norms via second-order correctors. Zbl 1380.35011 Bella, Peter; Fehrman, Benjamin; Fischer, Julian; Otto, Felix 20 2017 Quantitative stochastic homogenization: local control of homogenization error through corrector. Zbl 1380.82040 Bella, Peter; Giunti, Arianna; Otto, Felix 14 2017 Sublinear growth of the corrector in stochastic homogenization: optimal stochastic estimates for slowly decaying correlations. Zbl 1387.35029 Fischer, Julian; Otto, Felix 13 2017 Limitations of the background field method applied to Rayleigh-Bénard convection. Zbl 1372.76096 Nobili, Camilla; Otto, Felix 13 2017 Green’s function for elliptic systems: existence and Delmotte-Deuschel bounds. Zbl 1433.35053 Conlon, Joseph G.; Giunti, Arianna; Otto, Felix 9 2017 Rigorous bounds on scaling laws in fluid dynamics. Zbl 1393.35178 Otto, Felix; Pottel, Steffen; Nobili, Camilla 2 2017 Convergence of the thresholding scheme for multi-phase mean-curvature flow. Zbl 1388.35121 Laux, Tim; Otto, Felix 45 2016 A higher-order large-scale regularity theory for random elliptic operators. Zbl 1349.35440 Fischer, Julian; Otto, Felix 31 2016 Correlation structure of the corrector in stochastic homogenization. Zbl 1353.35040 Mourrat, Jean-Christophe; Otto, Felix 19 2016 Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate environments. Zbl 1330.35010 Mourrat, Jean-Christophe; Otto, Felix 18 2016 Upper bounds on Nusselt number at finite Prandtl number. Zbl 1333.35185 Choffrut, Antoine; Nobili, Camilla; Otto, Felix 12 2016 Branched microstructures in the Ginzburg-Landau model of type-I superconductors. Zbl 1351.82116 Conti, Sergio; Otto, Felix; Serfaty, Sylvia 12 2016 Corrector estimates for elliptic systems with random periodic coefficients. Zbl 1351.35273 Bella, Peter; Otto, Felix 12 2016 Rigorous asymptotics of traveling-wave solutions to the thin-film equation and Tanner’s law. Zbl 1345.35074 Giacomelli, Lorenzo; Gnann, Manuel V.; Otto, Felix 10 2016 Interpolation inequalities in pattern formation. Zbl 1350.49071 Cinti, Eleonora; Otto, Felix 9 2016 Corrigendum to: “Smooth zero-contact-angle solutions to a thin-film equation around the steady state”. Zbl 1467.35008 Bringmann, Björn; Giacomelli, Lorenzo; Knüpfer, Hans; Otto, Felix 3 2016 Algebraic contraction rate for distance between entropy solutions of scalar conservation laws. Zbl 1332.35216 Esselborn, Elias; Gigli, Nicola; Otto, Felix 1 2016 A maximal regularity estimate for the non-stationary Stokes equation in the strip. Zbl 1347.35055 Choffrut, Antoine; Nobili, Camilla; Otto, Felix 1 2016 Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics. Zbl 1314.39020 Gloria, A.; Neukamm, S.; Otto, F. 125 2015 Threshold dynamics for networks with arbitrary surface tensions. Zbl 1334.82072 Esedoḡlu, Selim; Otto, Felix 86 2015 Annealed estimates on the Green function. Zbl 1342.60101 Marahrens, Daniel; Otto, Felix 43 2015 Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization. Zbl 1343.35018 Gloria, Antoine; Otto, Félix 24 2015 New bounds for the inhomogenous Burgers and the Kuramoto-Sivashinsky equations. Zbl 1452.35168 Goldman, Michael; Josien, Marc; Otto, Felix 18 2015 Moment bounds for the corrector in stochastic homogenization of a percolation model. Zbl 1326.39015 Lamacz, Agnes; Neukamm, Stefan; Otto, Felix 13 2015 On annealed elliptic Green’s function estimates. Zbl 1374.35385 Marahrens, Daniel; Otto, Felix 7 2015 An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations. Zbl 1307.35029 Gloria, Antoine; Neukamm, Stefan; Otto, Felix 69 2014 Nonexistence of a minimizer for Thomas-Fermi-Dirac-von Weizsäcker model. Zbl 1301.49002 Lu, Jianfeng; Otto, Felix 64 2014 Well-posedness for the Navier-slip thin-film equation in the case of complete wetting. Zbl 1302.35218 Giacomelli, Lorenzo; Gnann, Manuel V.; Knüpfer, Hans; Otto, Felix 36 2014 Relaxation to equilibrium in the one-dimensional Cahn-Hilliard equation. Zbl 1288.35087 Otto, Felix; Westdickenberg, Maria G. 10 2014 A reduced model for domain walls in soft ferromagnetic films at the cross-over from symmetric to asymmetric wall types. Zbl 1301.49124 Döring, Lukas; Ignat, Radu; Otto, Felix 10 2014 Invariant measure of the stochastic Allen-Cahn equation: the regime of small noise and large system size. Zbl 1291.60135 Otto, Felix; Weber, Hendrik; Westdickenberg, Maria G. 9 2014 Nucleation barriers for the cubic-to-tetragonal phase transformation. Zbl 1322.74057 Knüpfer, Hans; Kohn, Robert V.; Otto, Felix 36 2013 Regularity of source-type solutions to the thin-film equation with zero contact angle and mobility exponent between \(3/2\) and 3. Zbl 1292.35067 Giacomelli, Lorenzo; Gnann, Manuel V.; Otto, Felix 27 2013 Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic single-site potential. Zbl 1282.60096 Menz, Georg; Otto, Felix 25 2013 Crossover of the coarsening rates in demixing of binary viscous liquids. Zbl 1325.35091 Otto, Felix; Seis, Christian; Slepčev, Dejan 11 2013 Entropic Burgers’ equation via a minimizing movement scheme based on the Wasserstein metric. Zbl 1350.76054 Gigli, Nicola; Otto, Felix 10 2013 An optimal error estimate in stochastic homogenization of discrete elliptic equations. Zbl 1387.35031 Gloria, Antoine; Otto, Felix 84 2012 A quantitative rigidity result for the cubic-to-tetragonal phase transition in the geometrically linear theory with interfacial energy. Zbl 1251.82049 Capella, Antonio; Otto, Felix 35 2012 An optimal variance estimate in stochastic homogenization of discrete elliptic equations. Zbl 1215.35025 Gloria, Antoine; Otto, Felix 133 2011 Rayleigh-Bénard convection: Improved bounds on the Nusselt number. Zbl 1272.76229 Otto, Felix; Seis, Christian 27 2011 A compactness result for Landau state in thin-film micromagnetics. Zbl 1216.49041 Ignat, Radu; Otto, Felix 18 2011 Upper bounds on coarsening rates in demixing binary viscous liquids. Zbl 1226.82045 Brenier, Yann; Otto, Felix; Seis, Christian 17 2011 Domain branching in uniaxial ferromagnets: asymptotic behavior of the energy. Zbl 1193.49046 Otto, Felix; Viehmann, Thomas 19 2010 The concertina pattern. From micromagnetics to domain theory. Zbl 1237.78036 Otto, Felix; Steiner, Jutta 11 2010 Universal bounds for the Littlewood-Paley first-order moments of the 3D Navier-Stokes equations. Zbl 1204.35128 Otto, Felix; Ramos, Fabio 7 2010 Uniform energy distribution for an isoperimetric problem with long-range interactions. Zbl 1206.49046 Alberti, Giovanni; Choksi, Rustum; Otto, Felix 65 2009 A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit. Zbl 1179.60068 Grunewald, Natalie; Otto, Felix; Villani, Cédric; Westdickenberg, Maria G. 34 2009 Optimal bounds on the Kuramoto-Sivashinsky equation. Zbl 1194.35082 Otto, Felix 34 2009 A rigidity result for a perturbation of the geometrically linear three-well problem. Zbl 1331.82064 Capella, Antonio; Otto, Felix 31 2009 Ostwald ripening of droplets: The role of migration. Zbl 1155.76057 Glasner, Karl; Otto, Felix; Rump, Tobias; Slepčev, Dejan 10 2009 Smooth zero-contact-angle solutions to a thin-film equation around the steady state. Zbl 1159.35039 Giacomelli, Lorenzo; Knüpfer, Hans; Otto, Felix 64 2008 Continuity of velocity gradients in suspensions of rod-like molecules. Zbl 1158.76051 Otto, Felix; Tzavaras, Athanasios E. 40 2008 Ground state energy scaling laws during the onset and destruction of the intermediate state in a type I superconductor. Zbl 1142.82031 Choksi, Rustum; Conti, Sergio; Kohn, Robert V.; Otto, Felix 33 2008 A compactness result in thin-film micromagnetics and the optimality of the Néel wall. Zbl 1158.78011 Ignat, Radu; Otto, Felix 20 2008 Regularizing effect of nonlinearity in multidimensional scalar conservation laws. Zbl 1155.35400 Crippa, Gianluca; Otto, Felix; Westdickenberg, Michael 16 2008 Action minimization and sharp-interface limits for the stochastic Allen-Cahn equation. Zbl 1154.35021 Kohn, Robert V.; Otto, Felix; Reznikoff, Maria G.; Vanden-Eijnden, Eric 37 2007 A new criterion for the logarithmic Sobolev inequality and two applications. Zbl 1109.60013 Otto, Felix; Reznikoff, Maria G. 29 2007 Slow motion of gradient flows. Zbl 1138.35036 Otto, Felix; Reznikoff, Maria G. 28 2007 Wave-type dynamics in ferromagnetic thin films and the motion of Néel walls. Zbl 1135.82037 Capella, Antonio; Melcher, Christof; Otto, Felix 23 2007 Coarsening rates for a droplet model: rigorous upper bounds. Zbl 1298.76027 Otto, Felix; Rump, Tobias; Slepcev, Dejan 17 2007 A new model for contact angle hysteresis. Zbl 1125.76011 DeSimone, Antonio; Grunewald, Natalie; Otto, Felix 11 2007 The concertina pattern: a bifurcation in ferromagnetic thin films. Zbl 1119.82043 Cantero-Alvarez, R.; Otto, F.; Steiner, J. 7 2007 Recent analytical developments in micromagnetics. Zbl 1151.35426 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 54 2006 Eulerian calculus for the contraction in the Wasserstein distance. Zbl 1094.58016 Otto, Felix; Westdickenberg, Michael 53 2006 Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh–Bénard convection. Zbl 1122.76080 Doering, Charles R.; Otto, Felix; Reznikoff, Maria G. 48 2006 Long-time asymptotics of a multiscale model for polymeric fluid flows. Zbl 1089.76006 Jourdain, Benjamin; Le Bris, Claude; Lelièvre, Tony; Otto, Félix 38 2006 2-D stability of the Néel wall. Zbl 1158.78300 DeSimone, Antonio; Knüpfer, Hans; Otto, Felix 26 2006 Multiscale simulations for suspensions of rod-like molecules. Zbl 1107.82040 Helzel, Christiane; Otto, Felix 10 2006 ...and 52 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,086 Authors 83 Otto, Felix 58 Carrillo de la Plata, José Antonio 37 Li, Wuchen 34 Gloria, Antoine 30 Ignat, Radu 30 Savaré, Giuseppe 28 Knüpfer, Hans 27 Wang, Feng-Yu 26 Conti, Sergio 26 Mielke, Alexander 26 Peletier, Mark Adriaan 22 Matthes, Daniel 20 Cancès, Clément 20 Duerinckx, Mitia 19 Coclite, Giuseppe Maria 19 Muratov, Cyrill B. 18 Niethammer, Barbara 18 Santambrogio, Filippo 18 Sturm, Karl-Theodor 17 Goldman, Michael 17 McCann, Robert J. 17 Mourrat, Jean-Christophe 17 Wang, Dong 16 Ambrosio, Luigi 16 Carlier, Guillaume 16 Erbar, Matthias 16 Gigli, Nicola 16 Gozlan, Nathael 16 Rüland, Angkana 16 Seis, Christian 15 Bella, Peter 15 Fischer, Julian 15 Gentil, Ivan 15 Guillin, Arnaud 15 Maas, Jan 15 Velázquez, Juan J. L. 15 Wang, Xiaoping 14 Bronsard, Lia 14 Fathi, Max 14 Monsaingeon, Léonard 14 Schlichting, André 14 Slepčev, Dejan 13 Alama, Stan 13 Andreianov, Boris 13 Armstrong, Scott N. 13 Di Ruvo, Lorenzo 13 Doering, Charles Rogers 13 Esedoglu, Selim 13 Kim, Inwon Christina 13 Liu, Jianguo 13 Lu, Jianfeng 13 Novaga, Matteo 13 Ortiz, Michael 13 Pop, Iuliu Sorin 13 Serfaty, Sylvia 12 Brenier, Yann 12 Chen, Yongxin 12 Di Francesco, Marco 12 Dolbeault, Jean 12 Duong, Manh Hong 12 Gallouët, Thomas O. 12 Gess, Benjamin 12 Giacomelli, Lorenzo 12 Grün, Günther 12 Laux, Tim 12 Menz, Georg 12 Neukamm, Stefan 12 Vorotnikov, Dmitry A. 11 Agueh, Martial 11 Carlen, Eric Anders 11 Conforti, Giovanni 11 Georgiou, Tryphon T. 11 Gnann, Manuel V. 11 Masmoudi, Nader 11 Ohta, Shin-ichi 11 Slastikov, Valeriy V. 11 Topaloglu, Ihsan 11 Toscani, Giuseppe 11 Vazquez, Juan Luis 11 Villani, Cédric 11 Wu, Liming 11 Zhan, Huashui 10 Choksi, Rustum 10 Fantuzzi, Giovanni 10 Höfer, Richard M. 10 Lelièvre, Tony 10 Mellet, Antoine 10 Osher, Stanley Joel 10 Roberto, Cyril 10 Schweizer, Ben 10 Shao, Jinghai 10 Zhou, Hao-Min 10 Zinsl, Jonathan 10 Zwicknagl, Barbara Maria 9 Blanchet, Adrien 9 Burger, Martin 9 Dario, Paul 9 Fagioli, Simone 9 Figalli, Alessio 9 Gancedo, Francisco ...and 2,986 more Authors all top 5 Cited in 359 Serials 158 Archive for Rational Mechanics and Analysis 114 Calculus of Variations and Partial Differential Equations 109 Journal of Differential Equations 103 SIAM Journal on Mathematical Analysis 79 Journal of Functional Analysis 68 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 65 Journal of Computational Physics 62 Communications in Mathematical Physics 55 Journal of Mathematical Analysis and Applications 52 Communications on Pure and Applied Mathematics 52 Communications in Partial Differential Equations 51 Journal of Nonlinear Science 47 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 46 Probability Theory and Related Fields 44 Journal of Statistical Physics 44 Journal de Mathématiques Pures et Appliquées. Neuvième Série 42 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 41 Discrete and Continuous Dynamical Systems 33 Journal of Fluid Mechanics 33 The Annals of Probability 33 Physica D 33 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 30 Journal of Scientific Computing 30 Comptes Rendus. Mathématique. Académie des Sciences, Paris 29 Journal of Mathematical Physics 27 Stochastic Processes and their Applications 26 The Annals of Applied Probability 25 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 25 Electronic Journal of Probability 23 Nonlinearity 23 Potential Analysis 23 Multiscale Modeling & Simulation 22 Numerische Mathematik 22 Oberwolfach Reports 20 Mathematics of Computation 20 Advances in Mathematics 20 SIAM Journal on Numerical Analysis 20 NoDEA. Nonlinear Differential Equations and Applications 20 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 19 Applied Mathematics Letters 19 European Journal of Applied Mathematics 18 Journal of Dynamics and Differential Equations 18 Bernoulli 18 Stochastic and Partial Differential Equations. Analysis and Computations 17 Transactions of the American Mathematical Society 17 SIAM Journal on Applied Mathematics 17 Journal of Evolution Equations 16 Mathematical Methods in the Applied Sciences 16 SIAM Journal on Scientific Computing 15 Interfaces and Free Boundaries 15 Information Geometry 14 Inventiones Mathematicae 14 Journal of Computational and Applied Mathematics 14 Journal of Mathematical Sciences (New York) 14 Networks and Heterogeneous Media 14 SIAM Journal on Imaging Sciences 13 Journal of the European Mathematical Society (JEMS) 13 Journal of Hyperbolic Differential Equations 13 Advances in Calculus of Variations 12 Proceedings of the American Mathematical Society 12 Bulletin des Sciences Mathématiques 11 Mathematische Annalen 11 Quarterly of Applied Mathematics 11 Discrete and Continuous Dynamical Systems. Series S 11 Kinetic and Related Models 10 Computers & Mathematics with Applications 10 Computer Methods in Applied Mechanics and Engineering 10 Journal of the Mechanics and Physics of Solids 10 Acta Applicandae Mathematicae 10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 10 Communications in Contemporary Mathematics 10 Communications on Pure and Applied Analysis 10 Analysis & PDE 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Indiana University Mathematics Journal 9 International Journal for Numerical Methods in Engineering 9 Asymptotic Analysis 9 Journal of Mathematical Fluid Mechanics 9 Foundations of Computational Mathematics 9 SIAM/ASA Journal on Uncertainty Quantification 9 Séminaire Laurent Schwartz. EDP et Applications 8 Revista Matemática Iberoamericana 8 The Journal of Geometric Analysis 8 Continuum Mechanics and Thermodynamics 8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 8 Annales Henri Poincaré 8 Discrete and Continuous Dynamical Systems. Series B 8 Communications in Computational Physics 7 Automatica 7 Journal of the London Mathematical Society. Second Series 7 Memoirs of the American Mathematical Society 7 SIAM Journal on Control and Optimization 7 Statistics & Probability Letters 7 Chinese Annals of Mathematics. Series B 7 Electronic Communications in Probability 7 Milan Journal of Mathematics 7 Analysis and Applications (Singapore) 7 Science China. Mathematics 7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 6 Applicable Analysis ...and 259 more Serials all top 5 Cited in 54 Fields 1,861 Partial differential equations (35-XX) 660 Probability theory and stochastic processes (60-XX) 620 Calculus of variations and optimal control; optimization (49-XX) 570 Fluid mechanics (76-XX) 483 Statistical mechanics, structure of matter (82-XX) 445 Numerical analysis (65-XX) 235 Mechanics of deformable solids (74-XX) 194 Differential geometry (53-XX) 162 Global analysis, analysis on manifolds (58-XX) 129 Operator theory (47-XX) 122 Biology and other natural sciences (92-XX) 110 Dynamical systems and ergodic theory (37-XX) 104 Functional analysis (46-XX) 98 Measure and integration (28-XX) 92 Real functions (26-XX) 77 Operations research, mathematical programming (90-XX) 76 Classical thermodynamics, heat transfer (80-XX) 70 Statistics (62-XX) 59 Ordinary differential equations (34-XX) 59 Information and communication theory, circuits (94-XX) 58 Optics, electromagnetic theory (78-XX) 55 Quantum theory (81-XX) 46 Systems theory; control (93-XX) 44 Computer science (68-XX) 41 Difference and functional equations (39-XX) 35 Integral equations (45-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 25 General and overarching topics; collections (00-XX) 23 Mechanics of particles and systems (70-XX) 20 Functions of a complex variable (30-XX) 18 Potential theory (31-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 18 Convex and discrete geometry (52-XX) 17 Combinatorics (05-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 General topology (54-XX) 14 Geophysics (86-XX) 13 Approximations and expansions (41-XX) 9 Several complex variables and analytic spaces (32-XX) 8 Geometry (51-XX) 7 Relativity and gravitational theory (83-XX) 6 Associative rings and algebras (16-XX) 6 Special functions (33-XX) 4 Number theory (11-XX) 4 Topological groups, Lie groups (22-XX) 4 Integral transforms, operational calculus (44-XX) 4 Astronomy and astrophysics (85-XX) 3 Nonassociative rings and algebras (17-XX) 2 Algebraic geometry (14-XX) 2 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.