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Author ID: otto.felix Recent zbMATH articles by "Otto, Felix"
Published as: Otto, Felix; Otto, F.; Otto, Félix
External Links: MGP · Wikidata · GND
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Co-Authors

14 single-authored
12 Kohn, Robert Vita
10 Gloria, Antoine
9 DeSimone, Antonio
9 Giacomelli, Lorenzo
8 Niethammer, Barbara
7 Müller, Stefan
6 Conti, Sergio
5 Bella, Peter
5 Knüpfer, Hans
5 Neukamm, Stefan
5 Westdickenberg, Maria G.
5 Westdickenberg, Michael
4 Choksi, Rustum
4 Giunti, Arianna
4 Goldman, Michael
4 Ignat, Radu
4 Jordan, Richard
4 Kinderlehrer, David
4 Nobili, Camilla
4 Reznikoff, Maria G.
4 Rump, Tobias
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 Laux, Tim
3 Seis, Christian
3 Slepčev, Dejan
3 Villani, Cédric
3 Weber, Hendrik
2 Choffrut, Antoine
2 Fehrman, Benjamin J.
2 Gigli, Nicola
2 Grunewald, Natalie
2 Helzel, Christiane
2 Jabin, Pierre-Emmanuel
2 Lu, Jianfeng
2 Marahrens, Daniel
2 Menon, Govind K.
2 Mourrat, Jean-Christophe
2 Penzler, Patrick
2 Serfaty, Sylvia
2 Steiner, Jutta
1 Alberti, Giovanni
1 Ball, John MacLeod
1 Bellová, Katarína
1 Benninghofen, Benjamin
1 Bhattacharya, Kaushik
1 Brenier, Yann
1 Bringmann, Björn
1 Chugreeva, Olga
1 Cinti, Eleonora
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 Glasner, Karl B.
1 Henseler, Reiner Thorsten
1 Huesmann, Martin
1 Ioffe, Dmitry
1 Josien, Marc
1 Jourdain, Benjamin
1 Julia, Antoine
1 Kemmerich, Susanne
1 Khoromskaia, Venera
1 Khoromskiĭ, Boris Nikolaevich
1 Kirsten, Jorrit
1 Knabner, Peter
1 Kružík, Martin
1 Lamacz, Agnes
1 Lamy, Xavier
1 Le Bris, Claude
1 Lelièvre, Tony
1 Luckhaus, Stephan
1 Melcher, Christof
1 Menz, Georg
1 Mielke, Alexander
1 Miura, Tatsuya
1 Perthame, Benoît
1 Pottel, Steffen
1 Prod’homme, Maxime
1 Ramos, Fabio Tozeto
1 Rätz, Andreas
1 Richter, Michael M.
1 Ried, Tobias
1 Rocca, Elisabetta
1 Rubinstein, Boris Y.
1 Savaré, Giuseppe
1 Schäfer, Rudolf
1 Scholtes, Sebastian
1 Stefanelli, Ulisse
...and 8 more Co-Authors
all top 5

Serials

12 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
5 Archive for Rational Mechanics and Analysis
5 Journal of Functional Analysis
5 Communications in Partial Differential Equations
4 Journal of Nonlinear Science
4 Journal of the European Mathematical Society (JEMS)
3 Journal of Statistical Physics
3 Nonlinearity
3 The Annals of Probability
3 Oberwolfach Reports
3 Stochastic and Partial Differential Equations. Analysis and Computations
2 Journal of Mathematical Physics
2 Quarterly of Applied Mathematics
2 Physica D
2 Probability Theory and Related Fields
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 Electronic Journal of Probability
2 Interfaces and Free Boundaries
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 Advances in Mathematics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Inventiones Mathematicae
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 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Foundations of Computational Mathematics
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 Computer Science
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

Publications by Year

Citations contained in zbMATH Open

142 Publications have been cited 3,896 times in 2,269 Documents Cited by Year
The geometry of dissipative evolution equations: The porous medium equation. Zbl 0984.35089
Otto, Felix
478
2001
The variational formulation of the Fokker-Planck equation. Zbl 0915.35120
Jordan, Richard; Kinderlehrer, David; Otto, Felix
476
1998
Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality. Zbl 0985.58019
Otto, F.; Villani, C.
302
2000
\(L^ 1\)-contraction and uniqueness for quasilinear elliptic-parabolic equations. Zbl 0862.35078
Otto, Felix
110
1996
Initial-boundary value problem for a scalar conservation law. Zbl 0852.35013
Otto, Felix
90
1996
An optimal variance estimate in stochastic homogenization of discrete elliptic equations. Zbl 1215.35025
Gloria, Antoine; Otto, Felix
90
2011
Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics. Zbl 1314.39020
Gloria, A.; Neukamm, S.; Otto, F.
81
2015
A reduced theory for thin-film micromagnetics. Zbl 1027.82042
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
60
2002
An optimal error estimate in stochastic homogenization of discrete elliptic equations. Zbl 1387.35031
Gloria, Antoine; Otto, Felix
60
2012
Uniform energy distribution for an isoperimetric problem with long-range interactions. Zbl 1206.49046
Alberti, Giovanni; Choksi, Rustum; Otto, Felix
53
2009
Domain branching in uniaxial ferromagnets: A scaling law for the minimum energy. Zbl 1023.82011
Choksi, Rustum; Kohn, Robert V.; Otto, Felix
52
1999
Smooth zero-contact-angle solutions to a thin-film equation around the steady state. Zbl 1159.35039
Giacomelli, Lorenzo; Knüpfer, Hans; Otto, Felix
52
2008
Threshold dynamics for networks with arbitrary surface tensions. Zbl 1334.82072
Esedoḡlu, Selim; Otto, Felix
52
2015
Lubrication approximation with prescribed nonzero contact angle. Zbl 0923.35211
Otto, Felix
50
1998
Upper bounds on coarsening rates. Zbl 1004.82011
Kohn, Robert V.; Otto, Felix
49
2002
An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations. Zbl 1307.35029
Gloria, Antoine; Neukamm, Stefan; Otto, Felix
49
2014
Dynamics of labyrinthine pattern formation in magnetic fluids: A mean-field theory. Zbl 0905.35068
Otto, Felix
48
1998
A compactness result in the gradient theory of phase transitions. Zbl 0986.49009
DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix
48
2001
Nonexistence of a minimizer for Thomas–Fermi–Dirac–von Weizsäcker model. Zbl 1301.49002
Lu, Jianfeng; Otto, Felix
48
2014
Eulerian calculus for the contraction in the Wasserstein distance. Zbl 1094.58016
Otto, Felix; Westdickenberg, Michael
45
2006
Quantitative results on the corrector equation in stochastic homogenization. Zbl 1387.35032
Gloria, Antoine; Otto, Felix
45
2017
Structure of entropy solutions for multi-dimensional scalar conservation laws. Zbl 1036.35127
De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael
42
2003
Recent analytical developments in micromagnetics. Zbl 1151.35426
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
41
2006
Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh–Bénard convection. Zbl 1122.76080
Doering, Charles R.; Otto, Felix; Reznikoff, Maria G.
39
2006
Variational formulation for the lubrication approximation of the Hele-Shaw flow. Zbl 1086.35004
Giacomelli, Lorenzo; Otto, Felix
38
2001
Coarsening dynamics of the convective Cahn-Hilliard equation. Zbl 1011.76021
Watson, Stephen J.; Otto, Felix; Rubinstein, Boris Y.; Davis, Stephen H.
36
2003
New bounds for the Kuramoto-Sivashinsky equation. Zbl 1062.35113
Giacomelli, Lorenzo; Otto, Felix
35
2005
Long-time asymptotics of a multiscale model for polymeric fluid flows. Zbl 1089.76006
Jourdain, Benjamin; Le Bris, Claude; Lelièvre, Tony; Otto, Félix
35
2006
Continuity of velocity gradients in suspensions of rod-like molecules. Zbl 1158.76051
Otto, Felix; Tzavaras, Athanasios E.
35
2008
Annealed estimates on the Green function. Zbl 1342.60101
Marahrens, Daniel; Otto, Felix
33
2015
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
33
2007
Evolution of microstructure in unstable porous media flow: A relaxational approach. Zbl 0929.76136
Otto, Felix
31
1999
Rigorous lubrication approximation. Zbl 1039.76012
Giacomelli, Lorenzo; Otto, Felix
31
2003
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
29
2008
A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit. Zbl 1179.60068
Grunewald, Natalie; Otto, Felix; Villani, Cédric; Westdickenberg, Maria G.
28
2009
Identification of the dilute regime in particle sedimentation. Zbl 1059.76073
Jabin, Pierre-Emmanuel; Otto, Felix
27
2004
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
26
2014
Minimal entropy cnditions for Burgers equation. Zbl 1211.35184
De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael
26
2004
Structure of entropy solutions to the eikonal equation. Zbl 1053.49028
De Lellis, Camillo; Otto, Felix
25
2003
Slow motion of gradient flows. Zbl 1138.35036
Otto, Felix; Reznikoff, Maria G.
25
2007
Magnetic microstructures – a paradigm of multiscale problems. Zbl 0991.82038
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
24
2000
Optimal bounds on the Kuramoto-Sivashinsky equation. Zbl 1194.35082
Otto, Felix
24
2009
A regularity theory for random elliptic operators. Zbl 1440.35064
Gloria, Antoine; Neukamm, Stefan; Otto, Felix
24
2020
A new criterion for the logarithmic Sobolev inequality and two applications. Zbl 1109.60013
Otto, Felix; Reznikoff, Maria G.
23
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
23
2013
Nucleation barriers for the cubic-to-tetragonal phase transformation. Zbl 1322.74057
Knüpfer, Hans; Kohn, Robert V.; Otto, Felix
23
2013
A higher-order large-scale regularity theory for random elliptic operators. Zbl 1349.35440
Fischer, Julian; Otto, Felix
22
2016
Quasilinear SPDEs via rough paths. Zbl 1426.60090
Otto, Felix; Weber, Hendrik
22
2019
Rayleigh-Bénard convection: Improved bounds on the Nusselt number. Zbl 1272.76229
Otto, Felix; Seis, Christian
21
2011
Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic single-site potential. Zbl 1282.60096
Menz, Georg; Otto, Felix
21
2013
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
21
2012
Free energy and the Fokker-Planck equation. Zbl 1029.82507
Jordan, Richard; Kinderlehrer, David; Otto, Felix
20
1997
Line-energy Ginzburg-Landau models: zero-energy states. Zbl 1072.35051
Otto, Felix; Jabin, Pierre-Emmanuel; Perthame, Benoît
20
2002
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.
19
2004
Convergence of the thresholding scheme for multi-phase mean-curvature flow. Zbl 1388.35121
Laux, Tim; Otto, Felix
19
2016
2-D stability of the Néel wall. Zbl 1158.78300
DeSimone, Antonio; Knüpfer, Hans; Otto, Felix
18
2006
A rigidity result for a perturbation of the geometrically linear three-well problem. Zbl 1331.82064
Capella, Antonio; Otto, Felix
17
2009
Wave-type dynamics in ferromagnetic thin films and the motion of Néel walls. Zbl 1135.82037
Capella, Antonio; Melcher, Christof; Otto, Felix
17
2007
A compactness result in thin-film micromagnetics and the optimality of the Néel wall. Zbl 1158.78011
Ignat, Radu; Otto, Felix
17
2008
Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization. Zbl 1343.35018
Gloria, Antoine; Otto, Félix
16
2015
Two-dimensional modelling of soft ferromagnetic films. Zbl 1065.74028
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix; Schäfer, Rudolf
16
2001
Droplet spreading: Intermediate scaling law by PDE methods. Zbl 1021.76014
Giacomelli, Lorenzo; Otto, Felix
14
2002
\(L^ 1\)-contraction and uniqueness for unstationary saturated-unsaturated porous media flow. Zbl 0888.35085
Otto, Felix
14
1997
Ostwald ripening: The screening length revisited. Zbl 0988.35021
Niethammer, Barbara; Otto, Felix
14
2001
Systems of reductions. Zbl 0636.68027
Benninghofen, B.; Kemmerich, S.; Richter, M. M.
14
1987
Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate environments. Zbl 1330.35010
Mourrat, Jean-Christophe; Otto, Felix
14
2016
Coarsening rates for a droplet model: rigorous upper bounds. Zbl 1298.76027
Otto, Felix; Rump, Tobias; Slepcev, Dejan
13
2007
A compactness result for Landau state in thin-film micromagnetics. Zbl 1216.49041
Ignat, Radu; Otto, Felix
13
2011
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
13
2017
Correlation structure of the corrector in stochastic homogenization. Zbl 1353.35040
Mourrat, Jean-Christophe; Otto, Felix
12
2016
Solute transport in porous media with equilibrium and nonequilibrium multiple-site adsorption: Uniqueness of weak solutions. Zbl 0958.35074
Knabner, P.; Otto, F.
11
2000
Upper bounds on coarsening rates in demixing binary viscous liquids. Zbl 1226.82045
Brenier, Yann; Otto, Felix; Seis, Christian
11
2011
The structure of fluctuations in stochastic homogenization. Zbl 1441.35026
Duerinckx, Mitia; Gloria, Antoine; Otto, Felix
11
2020
A Liouville theorem for elliptic systems with degenerate ergodic coefficients. Zbl 1400.35129
Bella, Peter; Fehrman, Benjamin; Otto, Felix
11
2018
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
10
2003
New bounds for the inhomogenous Burgers and the Kuramoto-Sivashinsky equations. Zbl 1452.35168
Goldman, Michael; Josien, Marc; Otto, Felix
10
2015
Domain branching in uniaxial ferromagnets: asymptotic behavior of the energy. Zbl 1193.49046
Otto, Felix; Viehmann, Thomas
10
2010
Moment bounds for the corrector in stochastic homogenization of a percolation model. Zbl 1326.39015
Lamacz, Agnes; Neukamm, Stefan; Otto, Felix
10
2015
Thermodynamically driven incompressible fluid mixtures. Zbl 1110.76307
Otto, Felix; E, Weinan
9
1997
Viscous fingering: An optimal bound on the growth rate of the mixing zone. Zbl 0901.76082
Otto, Felix
9
1997
Branched microstructures in the Ginzburg-Landau model of type-I superconductors. Zbl 1351.82116
Conti, Sergio; Otto, Felix; Serfaty, Sylvia
9
2016
Regularizing effect of nonlinearity in multidimensional scalar conservation laws. Zbl 1155.35400
Crippa, Gianluca; Otto, Felix; Westdickenberg, Michael
9
2008
A new model for contact angle hysteresis. Zbl 1125.76011
DeSimone, Antonio; Grunewlad, Natalie; Otto, Felix
9
2007
Corrector estimates for elliptic systems with random periodic coefficients. Zbl 1351.35273
Bella, Peter; Otto, Felix
9
2016
On the regularity of weak solutions to Burgers’ equation with finite entropy production. Zbl 1409.35139
Lamy, Xavier; Otto, Felix
9
2018
Domain coarsening in thin films. Zbl 1029.82026
Niethammer, Barbara; Otto, Felix
8
2001
Crossover of the coarsening rates in demixing of binary viscous liquids. Zbl 1325.35091
Otto, Felix; Seis, Christian; Slepčev, Dejan
8
2013
Sublinear growth of the corrector in stochastic homogenization: optimal stochastic estimates for slowly decaying correlations. Zbl 1387.35029
Fischer, Julian; Otto, Felix
8
2017
\(L^ 1\)-contraction and uniqueness for quasilinear elliptic-parabolic equations. Zbl 0845.35056
Otto, Felix
7
1995
Evolution of microstructure: an example. Zbl 1136.76349
Otto, Felix
7
2001
A diffuse-interface approximation for step flow in epitaxial growth. Zbl 1070.82033
Otto, Felix; Penzler, Patrick; Rätz, Andreas; Rump, Tobias; Voigt, Axel
7
2004
On first-order corrections to the LSW theory. I: Infinite systems. Zbl 1073.82013
Hönig, Andreas; Niethammer, Barbara; Otto, Felix
7
2005
On first-order corrections to the LSW theory. II: Finite systems. Zbl 1100.82007
Hönig, Andreas; Niethammer, Barbara; Otto, Felix
7
2005
Entropic Burgers’ equation via a minimizing movement scheme based on the Wasserstein metric. Zbl 1350.76054
Gigli, Nicola; Otto, Felix
7
2013
Quantitative stochastic homogenization: local control of homogenization error through corrector. Zbl 1380.82040
Bella, Peter; Giunti, Arianna; Otto, Felix
7
2017
Interpolation inequalities in pattern formation. Zbl 1350.49071
Cinti, Eleonora; Otto, Felix
7
2016
On annealed elliptic Green’s function estimates. Zbl 1374.35385
Marahrens, Daniel; Otto, Felix
6
2015
Cross-over in scaling laws: A simple example from micromagnetics. Zbl 1067.74020
Otto, Felix
6
2002
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.
6
2014
Relaxation to equilibrium in the one-dimensional Cahn-Hilliard equation. Zbl 1288.35087
Otto, Felix; Westdickenberg, Maria G.
6
2014
The thresholding scheme for mean curvature flow and de Giorgi’s ideas for minimizing movements. Zbl 07373006
Laux, Tim; Otto, Felix
2
2021
Quantitative linearization results for the Monge-Ampère equation. Zbl 1480.35082
Goldman, Michael; Huesmann, Martin; Otto, Felix
2
2021
Quantitative estimates in stochastic homogenization for correlated coefficient fields. Zbl 1485.35156
Gloria, Antoine; Neukamm, Stefan; Otto, Felix
2
2021
Sharp boundary \(\varepsilon\)-regularity of optimal transport maps. Zbl 1459.49032
Miura, Tatsuya; Otto, Felix
1
2021
Variational approach to regularity of optimal transport maps: general cost functions. Zbl 07500397
Otto, Felix; Prod’homme, Maxime; Ried, Tobias
1
2021
A regularity theory for random elliptic operators. Zbl 1440.35064
Gloria, Antoine; Neukamm, Stefan; Otto, Felix
24
2020
The structure of fluctuations in stochastic homogenization. Zbl 1441.35026
Duerinckx, Mitia; Gloria, Antoine; Otto, Felix
11
2020
Higher-order pathwise theory of fluctuations in stochastic homogenization. Zbl 1456.35017
Duerinckx, Mitia; Otto, Felix
6
2020
Brakke’s inequality for the thresholding scheme. Zbl 07161205
Laux, Tim; Otto, Felix
3
2020
A variational proof of partial regularity for optimal transportation maps. Zbl 1465.35263
Goldman, Michael; Otto, Felix
3
2020
Numerical study in stochastic homogenization for elliptic partial differential equations: convergence rate in the size of representative volume elements. Zbl 07217205
Khoromskaia, Venera; Khoromskij, Boris N.; Otto, Felix
2
2020
Robustness of the pathwise structure of fluctuations in stochastic homogenization. Zbl 1469.60102
Duerinckx, Mitia; Gloria, Antoine; Otto, Felix
2
2020
Effective multipoles in random media. Zbl 1442.35020
Bella, Peter; Giunti, Arianna; Otto, Felix
1
2020
Quasilinear SPDEs via rough paths. Zbl 1426.60090
Otto, Felix; Weber, Hendrik
22
2019
Quasi-linear SPDEs in divergence form. Zbl 1436.60066
Otto, Felix; Weber, Hendrik
3
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.
2
2019
Relaxation to a planar interface in the Mullins-Sekerka problem. Zbl 1427.35375
Chugreeva, Olga; Otto, Felix; Westdickenberg, Maria G.
1
2019
The magnetization ripple: a nonlocal stochastic PDE perspective. Zbl 1426.35240
Ignat, Radu; Otto, Felix
1
2019
A Liouville theorem for elliptic systems with degenerate ergodic coefficients. Zbl 1400.35129
Bella, Peter; Fehrman, Benjamin; Otto, Felix
11
2018
On the regularity of weak solutions to Burgers’ equation with finite entropy production. Zbl 1409.35139
Lamy, Xavier; Otto, Felix
9
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
3
2018
Quantitative results on the corrector equation in stochastic homogenization. Zbl 1387.35032
Gloria, Antoine; Otto, Felix
45
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
13
2017
Sublinear growth of the corrector in stochastic homogenization: optimal stochastic estimates for slowly decaying correlations. Zbl 1387.35029
Fischer, Julian; Otto, Felix
8
2017
Quantitative stochastic homogenization: local control of homogenization error through corrector. Zbl 1380.82040
Bella, Peter; Giunti, Arianna; Otto, Felix
7
2017
Green’s function for elliptic systems: existence and Delmotte-Deuschel bounds. Zbl 1433.35053
Conlon, Joseph G.; Giunti, Arianna; Otto, Felix
6
2017
Limitations of the background field method applied to Rayleigh-Bénard convection. Zbl 1372.76096
Nobili, Camilla; Otto, Felix
5
2017
A higher-order large-scale regularity theory for random elliptic operators. Zbl 1349.35440
Fischer, Julian; Otto, Felix
22
2016
Convergence of the thresholding scheme for multi-phase mean-curvature flow. Zbl 1388.35121
Laux, Tim; 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
14
2016
Correlation structure of the corrector in stochastic homogenization. Zbl 1353.35040
Mourrat, Jean-Christophe; Otto, Felix
12
2016
Branched microstructures in the Ginzburg-Landau model of type-I superconductors. Zbl 1351.82116
Conti, Sergio; Otto, Felix; Serfaty, Sylvia
9
2016
Corrector estimates for elliptic systems with random periodic coefficients. Zbl 1351.35273
Bella, Peter; Otto, Felix
9
2016
Interpolation inequalities in pattern formation. Zbl 1350.49071
Cinti, Eleonora; Otto, Felix
7
2016
Upper bounds on Nusselt number at finite Prandtl number. Zbl 1333.35185
Choffrut, Antoine; Nobili, Camilla; Otto, Felix
5
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
4
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
A maximal regularity estimate for the non-stationary Stokes equation in the strip. Zbl 1347.35055
Choffrut, Antoine; Nobili, Camilla; Otto, Felix
1
2016
Algebraic contraction rate for distance between entropy solutions of scalar conservation laws. Zbl 1332.35216
Esselborn, Elias; Gigli, Nicola; 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.
81
2015
Threshold dynamics for networks with arbitrary surface tensions. Zbl 1334.82072
Esedoḡlu, Selim; Otto, Felix
52
2015
Annealed estimates on the Green function. Zbl 1342.60101
Marahrens, Daniel; Otto, Felix
33
2015
Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization. Zbl 1343.35018
Gloria, Antoine; Otto, Félix
16
2015
New bounds for the inhomogenous Burgers and the Kuramoto-Sivashinsky equations. Zbl 1452.35168
Goldman, Michael; Josien, Marc; Otto, Felix
10
2015
Moment bounds for the corrector in stochastic homogenization of a percolation model. Zbl 1326.39015
Lamacz, Agnes; Neukamm, Stefan; Otto, Felix
10
2015
On annealed elliptic Green’s function estimates. Zbl 1374.35385
Marahrens, Daniel; Otto, Felix
6
2015
An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations. Zbl 1307.35029
Gloria, Antoine; Neukamm, Stefan; Otto, Felix
49
2014
Nonexistence of a minimizer for Thomas–Fermi–Dirac–von Weizsäcker model. Zbl 1301.49002
Lu, Jianfeng; Otto, Felix
48
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
26
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.
6
2014
Relaxation to equilibrium in the one-dimensional Cahn-Hilliard equation. Zbl 1288.35087
Otto, Felix; Westdickenberg, Maria G.
6
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
5
2014
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
23
2013
Nucleation barriers for the cubic-to-tetragonal phase transformation. Zbl 1322.74057
Knüpfer, Hans; Kohn, Robert V.; Otto, Felix
23
2013
Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic single-site potential. Zbl 1282.60096
Menz, Georg; Otto, Felix
21
2013
Crossover of the coarsening rates in demixing of binary viscous liquids. Zbl 1325.35091
Otto, Felix; Seis, Christian; Slepčev, Dejan
8
2013
Entropic Burgers’ equation via a minimizing movement scheme based on the Wasserstein metric. Zbl 1350.76054
Gigli, Nicola; Otto, Felix
7
2013
An optimal error estimate in stochastic homogenization of discrete elliptic equations. Zbl 1387.35031
Gloria, Antoine; Otto, Felix
60
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
21
2012
An optimal variance estimate in stochastic homogenization of discrete elliptic equations. Zbl 1215.35025
Gloria, Antoine; Otto, Felix
90
2011
Rayleigh-Bénard convection: Improved bounds on the Nusselt number. Zbl 1272.76229
Otto, Felix; Seis, Christian
21
2011
A compactness result for Landau state in thin-film micromagnetics. Zbl 1216.49041
Ignat, Radu; Otto, Felix
13
2011
Upper bounds on coarsening rates in demixing binary viscous liquids. Zbl 1226.82045
Brenier, Yann; Otto, Felix; Seis, Christian
11
2011
Domain branching in uniaxial ferromagnets: asymptotic behavior of the energy. Zbl 1193.49046
Otto, Felix; Viehmann, Thomas
10
2010
Universal bounds for the Littlewood-Paley first-order moments of the 3D Navier-Stokes equations. Zbl 1204.35128
Otto, Felix; Ramos, Fabio
6
2010
The concertina pattern. From micromagnetics to domain theory. Zbl 1237.78036
Otto, Felix; Steiner, Jutta
5
2010
Uniform energy distribution for an isoperimetric problem with long-range interactions. Zbl 1206.49046
Alberti, Giovanni; Choksi, Rustum; Otto, Felix
53
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.
28
2009
Optimal bounds on the Kuramoto-Sivashinsky equation. Zbl 1194.35082
Otto, Felix
24
2009
A rigidity result for a perturbation of the geometrically linear three-well problem. Zbl 1331.82064
Capella, Antonio; Otto, Felix
17
2009
Ostwald ripening of droplets: The role of migration. Zbl 1155.76057
Glasner, Karl; Otto, Felix; Rump, Tobias; Slepčev, Dejan
6
2009
Smooth zero-contact-angle solutions to a thin-film equation around the steady state. Zbl 1159.35039
Giacomelli, Lorenzo; Knüpfer, Hans; Otto, Felix
52
2008
Continuity of velocity gradients in suspensions of rod-like molecules. Zbl 1158.76051
Otto, Felix; Tzavaras, Athanasios E.
35
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
29
2008
A compactness result in thin-film micromagnetics and the optimality of the Néel wall. Zbl 1158.78011
Ignat, Radu; Otto, Felix
17
2008
Regularizing effect of nonlinearity in multidimensional scalar conservation laws. Zbl 1155.35400
Crippa, Gianluca; Otto, Felix; Westdickenberg, Michael
9
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
33
2007
Slow motion of gradient flows. Zbl 1138.35036
Otto, Felix; Reznikoff, Maria G.
25
2007
A new criterion for the logarithmic Sobolev inequality and two applications. Zbl 1109.60013
Otto, Felix; Reznikoff, Maria G.
23
2007
Wave-type dynamics in ferromagnetic thin films and the motion of Néel walls. Zbl 1135.82037
Capella, Antonio; Melcher, Christof; Otto, Felix
17
2007
Coarsening rates for a droplet model: rigorous upper bounds. Zbl 1298.76027
Otto, Felix; Rump, Tobias; Slepcev, Dejan
13
2007
A new model for contact angle hysteresis. Zbl 1125.76011
DeSimone, Antonio; Grunewlad, Natalie; Otto, Felix
9
2007
The concertina pattern: a bifurcation in ferromagnetic thin films. Zbl 1119.82043
Cantero-Alvarez, R.; Otto, F.; Steiner, J.
6
2007
Eulerian calculus for the contraction in the Wasserstein distance. Zbl 1094.58016
Otto, Felix; Westdickenberg, Michael
45
2006
Recent analytical developments in micromagnetics. Zbl 1151.35426
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
41
2006
Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh–Bénard convection. Zbl 1122.76080
Doering, Charles R.; Otto, Felix; Reznikoff, Maria G.
39
2006
Long-time asymptotics of a multiscale model for polymeric fluid flows. Zbl 1089.76006
Jourdain, Benjamin; Le Bris, Claude; Lelièvre, Tony; Otto, Félix
35
2006
2-D stability of the Néel wall. Zbl 1158.78300
DeSimone, Antonio; Knüpfer, Hans; Otto, Felix
18
2006
Multiscale simulations for suspensions of rod-like molecules. Zbl 1107.82040
Helzel, Christiane; Otto, Felix
6
2006
Coarsening rates in off-critical mixtures. Zbl 1141.82010
Conti, Sergio; Niethammer, Barbara; Otto, Felix
5
2006
Diffusive slowdown in miscible viscous fingering. Zbl 1184.35260
Menon, Govind; Otto, Felix
5
2006
Critical fields in ferromagnetic thin films: identification of four regimes. Zbl 1151.78365
Cantero-Alvarez, R.; Otto, F.
4
2006
Oscillatory buckling mode in thin-film nucleation. Zbl 1129.78017
Cantero-Alvarez, R.; Otto, F.
4
2006
Nonuniversality in low-volume-fraction Ostwald ripening. Zbl 1101.82024
Conti, Sergio; Hönig, Andreas; Niethammer, Barbara; Otto, Felix
3
2006
On the effect of correlations, fluctuations and collisions in Ostwald ripening. Zbl 1366.82040
Niethammer, Barbara; Otto, Felix; Velázquez, Juan J. L.
3
2006
New bounds for the Kuramoto-Sivashinsky equation. Zbl 1062.35113
Giacomelli, Lorenzo; Otto, Felix
35
2005
On first-order corrections to the LSW theory. I: Infinite systems. Zbl 1073.82013
Hönig, Andreas; Niethammer, Barbara; Otto, Felix
7
2005
On first-order corrections to the LSW theory. II: Finite systems. Zbl 1100.82007
Hönig, Andreas; Niethammer, Barbara; Otto, Felix
7
2005
Dynamic scaling in miscible viscous fingering. Zbl 1135.76323
Menon, G.; Otto, F.
6
2005
Convergence of thin film approximation for a scalar conservation law. Zbl 1082.35107
Otto, Felix; Westdickenberg, Michael
3
2005
...and 42 more Documents
all top 5

Cited by 2,319 Authors

70 Otto, Felix
49 Carrillo de la Plata, José Antonio
27 Savaré, Giuseppe
26 Conti, Sergio
25 Gloria, Antoine
23 Ignat, Radu
23 Knüpfer, Hans
22 Peletier, Mark Adriaan
20 Mielke, Alexander
19 Cancès, Clément
18 Li, Wuchen
17 Matthes, Daniel
16 Ambrosio, Luigi
16 Gigli, Nicola
16 Mourrat, Jean-Christophe
16 Wang, Feng-Yu
15 Fischer, Julian
15 Gozlan, Nathael
15 Muratov, Cyrill B.
15 Niethammer, Barbara
14 McCann, Robert J.
14 Sturm, Karl-Theodor
13 Bella, Peter
13 Erbar, Matthias
12 Andreianov, Boris
12 Brenier, Yann
12 Carlier, Guillaume
12 Dolbeault, Jean
12 Duerinckx, Mitia
12 Gentil, Ivan
12 Goldman, Michael
12 Guillin, Arnaud
12 Monsaingeon, Léonard
12 Serfaty, Sylvia
12 Velázquez, Juan J. L.
11 Agueh, Martial
11 Armstrong, Scott N.
11 Coclite, Giuseppe Maria
11 Di Francesco, Marco
11 Doering, Charles Rogers
11 Fathi, Max
11 Gallouët, Thomas O.
11 Maas, Jan
11 Masmoudi, Nader
11 Menz, Georg
11 Ohta, Shin-ichi
11 Ortiz, Michael
11 Santambrogio, Filippo
11 Schlichting, André
11 Seis, Christian
10 Carlen, Eric Anders
10 Choksi, Rustum
10 Esedoglu, Selim
10 Giacomelli, Lorenzo
10 Gnann, Manuel V.
10 Grün, Günther
10 Liu, Jianguo
10 Ren, Xiaofeng
10 Roberto, Cyril
10 Shao, Jinghai
10 Slepčev, Dejan
10 Topaloglu, Ihsan
10 Toscani, Giuseppe
10 Vazquez, Juan Luis
10 Villani, Cédric
10 Vorotnikov, Dmitry A.
10 Wu, Liming
10 Zinsl, Jonathan
9 Alama, Stan
9 Blanchet, Adrien
9 Bronsard, Lia
9 Chen, Yongxin
9 Gess, Benjamin
9 Karlsen, Kenneth Hvistendahl
9 Kim, Inwon Christina
9 Kohn, Robert Vita
9 Legoll, Frédéric
9 Lelièvre, Tony
9 Slastikov, Valeriy V.
9 Strani, Marta
9 Zwicknagl, Barbara Maria
8 Bogachev, Vladimir Igorevich
8 DeSimone, Antonio
8 Gancedo, Francisco
8 Georgiou, Tryphon T.
8 Gu, Yu
8 Léonard, Christian
8 Lu, Jianfeng
8 Marconi, Elio
8 Moser, Roger
8 Neukamm, Stefan
8 Novaga, Matteo
8 Pop, Iuliu Sorin
8 Rüland, Angkana
8 Samson, Paul-Marie
8 Titi, Edriss Saleh
8 Tzavaras, Athanasios E.
8 Zhan, Huashui
7 Andres, Sebastian
7 Bolley, François
...and 2,219 more Authors
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Cited in 305 Serials

131 Archive for Rational Mechanics and Analysis
90 Journal of Differential Equations
89 Calculus of Variations and Partial Differential Equations
74 SIAM Journal on Mathematical Analysis
62 Journal of Functional Analysis
52 Communications in Mathematical Physics
52 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
48 Journal of Mathematical Analysis and Applications
46 Communications in Partial Differential Equations
44 Journal of Computational Physics
40 Journal de Mathématiques Pures et Appliquées. Neuvième Série
39 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
38 Journal of Statistical Physics
38 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
37 Probability Theory and Related Fields
37 Journal of Nonlinear Science
37 Discrete and Continuous Dynamical Systems
33 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
31 The Annals of Probability
27 Physica D
27 Comptes Rendus. Mathématique. Académie des Sciences, Paris
26 Communications on Pure and Applied Mathematics
26 Journal of Fluid Mechanics
24 Journal of Mathematical Physics
21 Stochastic Processes and their Applications
20 Journal of Scientific Computing
20 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
18 Numerische Mathematik
18 Potential Analysis
17 SIAM Journal on Numerical Analysis
17 Applied Mathematics Letters
17 NoDEA. Nonlinear Differential Equations and Applications
16 Advances in Mathematics
16 Multiscale Modeling & Simulation
15 Mathematics of Computation
15 Electronic Journal of Probability
15 Journal of Evolution Equations
14 Transactions of the American Mathematical Society
14 Journal of Mathematical Sciences (New York)
13 Nonlinearity
13 The Annals of Applied Probability
13 Journal of Dynamics and Differential Equations
13 Bernoulli
12 Inventiones Mathematicae
12 Networks and Heterogeneous Media
11 Journal of Computational and Applied Mathematics
11 Proceedings of the American Mathematical Society
11 European Journal of Applied Mathematics
11 SIAM Journal on Applied Mathematics
11 SIAM Journal on Scientific Computing
11 Bulletin des Sciences Mathématiques
11 Journal of Hyperbolic Differential Equations
11 Stochastic and Partial Differential Equations. Analysis and Computations
10 Journal of the Mechanics and Physics of Solids
10 SIAM Journal on Imaging Sciences
9 Computers & Mathematics with Applications
9 Interfaces and Free Boundaries
8 Mathematische Annalen
8 Journal of the European Mathematical Society (JEMS)
8 Foundations of Computational Mathematics
8 Discrete and Continuous Dynamical Systems. Series S
7 Mathematical Methods in the Applied Sciences
7 Acta Applicandae Mathematicae
7 Continuum Mechanics and Thermodynamics
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Communications in Contemporary Mathematics
7 Oberwolfach Reports
7 Kinetic and Related Models
7 Science China. Mathematics
7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
6 Journal of Engineering Mathematics
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Quarterly of Applied Mathematics
6 SIAM Journal on Control and Optimization
6 Chinese Annals of Mathematics. Series B
6 The Journal of Geometric Analysis
6 SIAM Review
6 Bulletin of the American Mathematical Society. New Series
6 Physics of Fluids
6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
6 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
6 Analysis & PDE
6 SIAM/ASA Journal on Uncertainty Quantification
6 Information Geometry
5 Applicable Analysis
5 Applied Mathematics and Optimization
5 Manuscripta Mathematica
5 Memoirs of the American Mathematical Society
5 Ricerche di Matematica
5 Zeitschrift für Analysis und ihre Anwendungen
5 Revista Matemática Iberoamericana
5 Proceedings of the National Academy of Sciences of the United States of America
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Doklady Mathematics
5 Discrete and Continuous Dynamical Systems. Series B
5 Milan Journal of Mathematics
5 SIAM Journal on Applied Dynamical Systems
5 Boundary Value Problems
5 Advances in Calculus of Variations
...and 205 more Serials
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Cited in 51 Fields

1,390 Partial differential equations (35-XX)
483 Probability theory and stochastic processes (60-XX)
450 Calculus of variations and optimal control; optimization (49-XX)
444 Fluid mechanics (76-XX)
389 Statistical mechanics, structure of matter (82-XX)
312 Numerical analysis (65-XX)
167 Mechanics of deformable solids (74-XX)
138 Differential geometry (53-XX)
136 Global analysis, analysis on manifolds (58-XX)
108 Operator theory (47-XX)
89 Biology and other natural sciences (92-XX)
82 Dynamical systems and ergodic theory (37-XX)
75 Functional analysis (46-XX)
72 Measure and integration (28-XX)
71 Real functions (26-XX)
54 Classical thermodynamics, heat transfer (80-XX)
48 Operations research, mathematical programming (90-XX)
46 Optics, electromagnetic theory (78-XX)
38 Ordinary differential equations (34-XX)
35 Information and communication theory, circuits (94-XX)
32 Quantum theory (81-XX)
31 Statistics (62-XX)
31 Systems theory; control (93-XX)
30 Difference and functional equations (39-XX)
27 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
25 Integral equations (45-XX)
23 Computer science (68-XX)
16 Functions of a complex variable (30-XX)
16 Mechanics of particles and systems (70-XX)
14 General topology (54-XX)
13 Convex and discrete geometry (52-XX)
12 Geophysics (86-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
10 Combinatorics (05-XX)
9 Potential theory (31-XX)
9 Several complex variables and analytic spaces (32-XX)
9 Approximations and expansions (41-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
8 General and overarching topics; collections (00-XX)
7 Geometry (51-XX)
5 Special functions (33-XX)
4 Number theory (11-XX)
4 Integral transforms, operational calculus (44-XX)
4 Astronomy and astrophysics (85-XX)
2 Nonassociative rings and algebras (17-XX)
2 Relativity and gravitational theory (83-XX)
1 Algebraic geometry (14-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Abstract harmonic analysis (43-XX)
1 Algebraic topology (55-XX)

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