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Otto, Felix

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Author ID: otto.felix Recent zbMATH articles by "Otto, Felix"
Published as: Otto, F.; Otto, Felix; Otto, Félix
External Links: MGP · Wikidata · GND
Documents Indexed: 147 Publications since 1995
all top 5

Co-Authors

14 single-authored
12 Kohn, Robert Vita
9 DeSimone, Antonio
9 Giacomelli, Lorenzo
9 Gloria, Antoine
8 Niethammer, Barbara
7 Müller, Stefan
6 Conti, Sergio
5 Bella, Peter
5 Knüpfer, Hans
5 Westdickenberg, Maria G.
5 Westdickenberg, Michael
4 Choksi, Rustum
4 Ignat, Radu
4 Jordan, Richard
4 Kinderlehrer, David
4 Neukamm, Stefan
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 Giunti, Arianna
3 Gnann, Manuel V.
3 Goldman, Michael
3 Hönig, Andreas
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 Laux, Tim
2 Marahrens, Daniel
2 Menon, Govind K.
2 Mourrat, Jean-Christophe
2 Penzler, Patrick
2 Serfaty, Sylvia
2 Steiner, Jutta
1 Alberti, Giovanni
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 R.
1 Dolzmann, Georg
1 Döring, Lukas
1 E, Weinan
1 Esedoglu, Selim
1 Esselborn, Elias
1 Glasner, Karl B.
1 Henseler, Reiner Thorsten
1 Ioffe, Dmitry
1 Josien, Marc
1 Jourdain, Benjamin
1 Khoromskaia, Venera
1 Khoromskij, Boris N.
1 Kirsten, Jorrit
1 Knabner, Peter
1 Kružík, Martin
1 Lamacz, Agnes
1 Lamy, Xavier
1 Le Bris, Claude
1 Lelièvre, Tony
1 Lu, Jianfeng
1 Luckhaus, Stephan
1 Melcher, Christof
1 Menz, Georg
1 Mielke, Alexander
1 Miura, Tatsuya
1 Perthame, Benoît
1 Pottel, Steffen
1 Ramos, Fabio Tozeto
1 Rätz, Andreas
1 Rubinstein, Boris Y.
1 Savaré, Giuseppe
1 Schäfer, Rudolf
1 Scholtes, Sebastian
1 Stefanelli, Ulisse
1 Sturm, Karl-Theodor
1 Šverák, Vladimír
1 Tzavaras, Athanasios E.
1 Vanden-Eijnden, Eric
1 Velázquez, Juan J. L.
1 Viehmann, Thomas
1 Voigt, Axel
1 Watson, Stephen James
all top 5

Serials

11 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 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
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 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 Networks and Heterogeneous Media
1 The Journal of Chemical Physics
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

130 Publications have been cited 3,371 times in 1,989 Documents Cited by Year
The geometry of dissipative evolution equations: The porous medium equation. Zbl 0984.35089
Otto, Felix
428
2001
The variational formulation of the Fokker-Planck equation. Zbl 0915.35120
Jordan, Richard; Kinderlehrer, David; Otto, Felix
413
1998
Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality. Zbl 0985.58019
Otto, F.; Villani, C.
265
2000
\(L^ 1\)-contraction and uniqueness for quasilinear elliptic-parabolic equations. Zbl 0862.35078
Otto, Felix
105
1996
Initial-boundary value problem for a scalar conservation law. Zbl 0852.35013
Otto, Felix
83
1996
An optimal variance estimate in stochastic homogenization of discrete elliptic equations. Zbl 1215.35025
Gloria, Antoine; Otto, Felix
74
2011
Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics. Zbl 1314.39020
Gloria, A.; Neukamm, S.; Otto, F.
64
2015
A reduced theory for thin-film micromagnetics. Zbl 1027.82042
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
59
2002
Domain branching in uniaxial ferromagnets: A scaling law for the minimum energy. Zbl 1023.82011
Choksi, Rustum; Kohn, Robert V.; Otto, Felix
50
1999
An optimal error estimate in stochastic homogenization of discrete elliptic equations. Zbl 1387.35031
Gloria, Antoine; Otto, Felix
48
2012
Dynamics of labyrinthine pattern formation in magnetic fluids: A mean-field theory. Zbl 0905.35068
Otto, Felix
47
1998
Smooth zero-contact-angle solutions to a thin-film equation around the steady state. Zbl 1159.35039
Giacomelli, Lorenzo; Knüpfer, Hans; Otto, Felix
46
2008
Upper bounds on coarsening rates. Zbl 1004.82011
Kohn, Robert V.; Otto, Felix
46
2002
An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations. Zbl 1307.35029
Gloria, Antoine; Neukamm, Stefan; Otto, Felix
44
2014
Uniform energy distribution for an isoperimetric problem with long-range interactions. Zbl 1206.49046
Alberti, Giovanni; Choksi, Rustum; Otto, Felix
44
2009
A compactness result in the gradient theory of phase transitions. Zbl 0986.49009
DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix
43
2001
Eulerian calculus for the contraction in the Wasserstein distance. Zbl 1094.58016
Otto, Felix; Westdickenberg, Michael
42
2006
Lubrication approximation with prescribed nonzero contact angle. Zbl 0923.35211
Otto, Felix
42
1998
Threshold dynamics for networks with arbitrary surface tensions. Zbl 1334.82072
Esedoḡlu, Selim; Otto, Felix
39
2015
Recent analytical developments in micromagnetics. Zbl 1151.35426
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
39
2006
Structure of entropy solutions for multi-dimensional scalar conservation laws. Zbl 1036.35127
De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael
37
2003
Nonexistence of a minimizer for Thomas–Fermi–Dirac–von Weizsäcker model. Zbl 1301.49002
Lu, Jianfeng; Otto, Felix
35
2014
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
Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh–Bénard convection. Zbl 1122.76080
Doering, Charles R.; Otto, Felix; Reznikoff, Maria G.
34
2006
Coarsening dynamics of the convective Cahn-Hilliard equation. Zbl 1011.76021
Watson, Stephen J.; Otto, Felix; Rubinstein, Boris Y.; Davis, Stephen H.
34
2003
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
Variational formulation for the lubrication approximation of the Hele-Shaw flow. Zbl 1086.35004
Giacomelli, Lorenzo; Otto, Felix
33
2001
Quantitative results on the corrector equation in stochastic homogenization. Zbl 1387.35032
Gloria, Antoine; Otto, Felix
32
2017
Continuity of velocity gradients in suspensions of rod-like molecules. Zbl 1158.76051
Otto, Felix; Tzavaras, Athanasios E.
32
2008
Annealed estimates on the Green function. Zbl 1342.60101
Marahrens, Daniel; Otto, Felix
29
2015
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
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
28
2008
Rigorous lubrication approximation. Zbl 1039.76012
Giacomelli, Lorenzo; Otto, Felix
28
2003
New bounds for the Kuramoto-Sivashinsky equation. Zbl 1062.35113
Giacomelli, Lorenzo; Otto, Felix
26
2005
Magnetic microstructures – a paradigm of multiscale problems. Zbl 0991.82038
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
25
2000
Minimal entropy cnditions for Burgers equation. Zbl 1211.35184
De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael
23
2004
Evolution of microstructure in unstable porous media flow: A relaxational approach. Zbl 0929.76136
Otto, Felix
23
1999
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
22
2013
Slow motion of gradient flows. Zbl 1138.35036
Otto, Felix; Reznikoff, Maria G.
22
2007
A new criterion for the logarithmic Sobolev inequality and two applications. Zbl 1109.60013
Otto, Felix; Reznikoff, Maria G.
21
2007
Structure of entropy solutions to the eikonal equation. Zbl 1053.49028
De Lellis, Camillo; Otto, Felix
21
2003
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
20
2014
Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic single-site potential. Zbl 1282.60096
Menz, Georg; Otto, Felix
20
2013
Optimal bounds on the Kuramoto-Sivashinsky equation. Zbl 1194.35082
Otto, Felix
20
2009
A higher-order large-scale regularity theory for random elliptic operators. Zbl 1349.35440
Fischer, Julian; Otto, Felix
19
2016
Nucleation barriers for the cubic-to-tetragonal phase transformation. Zbl 1322.74057
Knüpfer, Hans; Kohn, Robert V.; Otto, Felix
19
2013
Identification of the dilute regime in particle sedimentation. Zbl 1059.76073
Jabin, Pierre-Emmanuel; Otto, Felix
19
2004
Line-energy Ginzburg-Landau models: zero-energy states. Zbl 1072.35051
Otto, Felix; Jabin, Pierre-Emmanuel; Perthame, Benoît
19
2002
Rayleigh-Bénard convection: Improved bounds on the Nusselt number. Zbl 1272.76229
Otto, Felix; Seis, Christian
18
2011
2-D stability of the Néel wall. Zbl 1158.78300
DeSimone, Antonio; Knüpfer, Hans; Otto, Felix
18
2006
Free energy and the Fokker-Planck equation. Zbl 1029.82507
Jordan, Richard; Kinderlehrer, David; Otto, Felix
18
1997
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.
17
2004
Quasilinear SPDEs via rough paths. Zbl 1426.60090
Otto, Felix; Weber, Hendrik
16
2019
Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization. Zbl 1343.35018
Gloria, Antoine; Otto, Félix
16
2015
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
16
2012
A compactness result in thin-film micromagnetics and the optimality of the Néel wall. Zbl 1158.78011
Ignat, Radu; Otto, Felix
16
2008
Wave-type dynamics in ferromagnetic thin films and the motion of Néel walls. Zbl 1135.82037
Capella, Antonio; Melcher, Christof; Otto, Felix
16
2007
Two-dimensional modelling of soft ferromagnetic films. Zbl 1065.74028
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix; Schäfer, Rudolf
15
2001
Convergence of the thresholding scheme for multi-phase mean-curvature flow. Zbl 1388.35121
Laux, Tim; Otto, Felix
14
2016
\(L^ 1\)-contraction and uniqueness for unstationary saturated-unsaturated porous media flow. Zbl 0888.35085
Otto, Felix
14
1997
Droplet spreading: Intermediate scaling law by PDE methods. Zbl 1021.76014
Giacomelli, Lorenzo; Otto, Felix
13
2002
Ostwald ripening: The screening length revisited. Zbl 0988.35021
Niethammer, Barbara; Otto, Felix
13
2001
A compactness result for Landau state in thin-film micromagnetics. Zbl 1216.49041
Ignat, Radu; Otto, Felix
12
2011
A rigidity result for a perturbation of the geometrically linear three-well problem. Zbl 1331.82064
Capella, Antonio; Otto, Felix
12
2009
Coarsening rates for a droplet model: rigorous upper bounds. Zbl 1298.76027
Otto, Felix; Rump, Tobias; Slepcev, Dejan
12
2007
Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate environments. Zbl 1330.35010
Mourrat, Jean-Christophe; Otto, Felix
11
2016
Upper bounds on coarsening rates in demixing binary viscous liquids. Zbl 1226.82045
Brenier, Yann; Otto, Felix; Seis, Christian
11
2011
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
A regularity theory for random elliptic operators. Zbl 1440.35064
Gloria, Antoine; Neukamm, Stefan; Otto, Felix
10
2020
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
10
2017
Correlation structure of the corrector in stochastic homogenization. Zbl 1353.35040
Mourrat, Jean-Christophe; Otto, Felix
10
2016
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
Domain branching in uniaxial ferromagnets: asymptotic behavior of the energy. Zbl 1193.49046
Otto, Felix; Viehmann, Thomas
9
2010
Corrector estimates for elliptic systems with random periodic coefficients. Zbl 1351.35273
Bella, Peter; Otto, Felix
8
2016
Branched microstructures in the Ginzburg-Landau model of type-I superconductors. Zbl 1351.82116
Conti, Sergio; Otto, Felix; Serfaty, Sylvia
8
2016
Moment bounds for the corrector in stochastic homogenization of a percolation model. Zbl 1326.39015
Lamacz, Agnes; Neukamm, Stefan; Otto, Felix
8
2015
Crossover of the coarsening rates in demixing of binary viscous liquids. Zbl 1325.35091
Otto, Felix; Seis, Christian; Slepčev, Dejan
8
2013
Regularizing effect of nonlinearity in multidimensional scalar conservation laws. Zbl 1155.35400
Crippa, Gianluca; Otto, Felix; Westdickenberg, Michael
8
2008
A new model for contact angle hysteresis. Zbl 1125.76011
DeSimone, Antonio; Grunewlad, Natalie; Otto, Felix
8
2007
Domain coarsening in thin films. Zbl 1029.82026
Niethammer, Barbara; Otto, Felix
8
2001
Viscous fingering: An optimal bound on the growth rate of the mixing zone. Zbl 0901.76082
Otto, Felix
8
1997
The structure of fluctuations in stochastic homogenization. Zbl 1441.35026
Duerinckx, Mitia; Gloria, Antoine; Otto, Felix
7
2020
Sublinear growth of the corrector in stochastic homogenization: optimal stochastic estimates for slowly decaying correlations. Zbl 1387.35029
Fischer, Julian; Otto, Felix
7
2017
On first-order corrections to the LSW theory. II: Finite systems. Zbl 1100.82007
Hönig, Andreas; Niethammer, Barbara; Otto, Felix
7
2005
On first-order corrections to the LSW theory. I: Infinite systems. Zbl 1073.82013
Hönig, Andreas; Niethammer, Barbara; Otto, Felix
7
2005
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
Comment on “Hypercontractivity of Hamilton-Jacobi equations” by S. G. Bobkov, I. Gentil and M. Ledoux. Zbl 1134.35312
Otto, Felix; Villani, Cédric
7
2001
Thermodynamically driven incompressible fluid mixtures. Zbl 1110.76307
Otto, Felix; E, Weinan
7
1997
\(L^ 1\)-contraction and uniqueness for quasilinear elliptic-parabolic equations. Zbl 0845.35056
Otto, Felix
7
1995
Quantitative stochastic homogenization: local control of homogenization error through corrector. Zbl 1380.82040
Bella, Peter; Giunti, Arianna; Otto, Felix
6
2017
On annealed elliptic Green’s function estimates. Zbl 1374.35385
Marahrens, Daniel; Otto, Felix
6
2015
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
Universal bounds for the Littlewood-Paley first-order moments of the 3D Navier-Stokes equations. Zbl 1204.35128
Otto, Felix; Ramos, Fabio
6
2010
Multiscale simulations for suspensions of rod-like molecules. Zbl 1107.82040
Helzel, Christiane; Otto, Felix
6
2006
Cross-over in scaling laws: A simple example from micromagnetics. Zbl 1067.74020
Otto, Felix
6
2002
A Liouville theorem for elliptic systems with degenerate ergodic coefficients. Zbl 1400.35129
Bella, Peter; Fehrman, Benjamin; Otto, Felix
5
2018
Green’s function for elliptic systems: existence and Delmotte-Deuschel bounds. Zbl 1433.35053
Conlon, Joseph G.; Giunti, Arianna; Otto, Felix
5
2017
Upper bounds on Nusselt number at finite Prandtl number. Zbl 1333.35185
Choffrut, Antoine; Nobili, Camilla; Otto, Felix
5
2016
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
Entropic Burgers’ equation via a minimizing movement scheme based on the Wasserstein metric. Zbl 1350.76054
Gigli, Nicola; Otto, Felix
5
2013
A regularity theory for random elliptic operators. Zbl 1440.35064
Gloria, Antoine; Neukamm, Stefan; Otto, Felix
10
2020
The structure of fluctuations in stochastic homogenization. Zbl 1441.35026
Duerinckx, Mitia; Gloria, Antoine; Otto, Felix
7
2020
Higher-order pathwise theory of fluctuations in stochastic homogenization. Zbl 1456.35017
Duerinckx, Mitia; Otto, Felix
2
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
1
2020
Brakke’s inequality for the thresholding scheme. Zbl 07161205
Laux, Tim; Otto, Felix
1
2020
Quasilinear SPDEs via rough paths. Zbl 1426.60090
Otto, Felix; Weber, Hendrik
16
2019
Quasi-linear SPDEs in divergence form. Zbl 1436.60066
Otto, Felix; Weber, Hendrik
3
2019
Relaxation to a planar interface in the Mullins-Sekerka problem. Zbl 1427.35375
Chugreeva, Olga; Otto, Felix; Westdickenberg, Maria G.
1
2019
A Liouville theorem for elliptic systems with degenerate ergodic coefficients. Zbl 1400.35129
Bella, Peter; Fehrman, Benjamin; Otto, Felix
5
2018
A branched transport limit of the Ginzburg-Landau functional. Zbl 1405.35201
Conti, Sergio; Goldman, Michael; Otto, Felix; Serfaty, Sylvia
3
2018
On the regularity of weak solutions to Burgers’ equation with finite entropy production. Zbl 1409.35139
Lamy, Xavier; Otto, Felix
3
2018
Quantitative results on the corrector equation in stochastic homogenization. Zbl 1387.35032
Gloria, Antoine; Otto, Felix
32
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
10
2017
Sublinear growth of the corrector in stochastic homogenization: optimal stochastic estimates for slowly decaying correlations. Zbl 1387.35029
Fischer, Julian; Otto, Felix
7
2017
Quantitative stochastic homogenization: local control of homogenization error through corrector. Zbl 1380.82040
Bella, Peter; Giunti, Arianna; Otto, Felix
6
2017
Green’s function for elliptic systems: existence and Delmotte-Deuschel bounds. Zbl 1433.35053
Conlon, Joseph G.; Giunti, Arianna; Otto, Felix
5
2017
Limitations of the background field method applied to Rayleigh-Bénard convection. Zbl 1372.76096
Nobili, Camilla; Otto, Felix
3
2017
A higher-order large-scale regularity theory for random elliptic operators. Zbl 1349.35440
Fischer, Julian; Otto, Felix
19
2016
Convergence of the thresholding scheme for multi-phase mean-curvature flow. Zbl 1388.35121
Laux, Tim; Otto, Felix
14
2016
Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate environments. Zbl 1330.35010
Mourrat, Jean-Christophe; Otto, Felix
11
2016
Correlation structure of the corrector in stochastic homogenization. Zbl 1353.35040
Mourrat, Jean-Christophe; Otto, Felix
10
2016
Corrector estimates for elliptic systems with random periodic coefficients. Zbl 1351.35273
Bella, Peter; Otto, Felix
8
2016
Branched microstructures in the Ginzburg-Landau model of type-I superconductors. Zbl 1351.82116
Conti, Sergio; Otto, Felix; Serfaty, Sylvia
8
2016
Upper bounds on Nusselt number at finite Prandtl number. Zbl 1333.35185
Choffrut, Antoine; Nobili, Camilla; Otto, Felix
5
2016
Interpolation inequalities in pattern formation. Zbl 1350.49071
Cinti, Eleonora; Otto, Felix
4
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
3
2016
Corrigendum to “Smooth zero-contact-angle solutions to a thin-film equation around the steady state” [J. Differential Equations 245 (2008) 1454-1506]. Zbl 06579139
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
Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics. Zbl 1314.39020
Gloria, A.; Neukamm, S.; Otto, F.
64
2015
Threshold dynamics for networks with arbitrary surface tensions. Zbl 1334.82072
Esedoḡlu, Selim; Otto, Felix
39
2015
Annealed estimates on the Green function. Zbl 1342.60101
Marahrens, Daniel; Otto, Felix
29
2015
Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization. Zbl 1343.35018
Gloria, Antoine; Otto, Félix
16
2015
Moment bounds for the corrector in stochastic homogenization of a percolation model. Zbl 1326.39015
Lamacz, Agnes; Neukamm, Stefan; Otto, Felix
8
2015
On annealed elliptic Green’s function estimates. Zbl 1374.35385
Marahrens, Daniel; Otto, Felix
6
2015
New bounds for the inhomogenous Burgers and the Kuramoto-Sivashinsky equations. Zbl 1452.35168
Goldman, Michael; Josien, Marc; Otto, Felix
3
2015
An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations. Zbl 1307.35029
Gloria, Antoine; Neukamm, Stefan; Otto, Felix
44
2014
Nonexistence of a minimizer for Thomas–Fermi–Dirac–von Weizsäcker model. Zbl 1301.49002
Lu, Jianfeng; Otto, Felix
35
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
20
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
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
Relaxation to equilibrium in the one-dimensional Cahn-Hilliard equation. Zbl 1288.35087
Otto, Felix; Westdickenberg, Maria G.
3
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
22
2013
Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic single-site potential. Zbl 1282.60096
Menz, Georg; Otto, Felix
20
2013
Nucleation barriers for the cubic-to-tetragonal phase transformation. Zbl 1322.74057
Knüpfer, Hans; Kohn, Robert V.; Otto, Felix
19
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
5
2013
An optimal error estimate in stochastic homogenization of discrete elliptic equations. Zbl 1387.35031
Gloria, Antoine; Otto, Felix
48
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
16
2012
An optimal variance estimate in stochastic homogenization of discrete elliptic equations. Zbl 1215.35025
Gloria, Antoine; Otto, Felix
74
2011
Rayleigh-Bénard convection: Improved bounds on the Nusselt number. Zbl 1272.76229
Otto, Felix; Seis, Christian
18
2011
A compactness result for Landau state in thin-film micromagnetics. Zbl 1216.49041
Ignat, Radu; Otto, Felix
12
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
9
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
4
2010
Uniform energy distribution for an isoperimetric problem with long-range interactions. Zbl 1206.49046
Alberti, Giovanni; Choksi, Rustum; Otto, Felix
44
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
20
2009
A rigidity result for a perturbation of the geometrically linear three-well problem. Zbl 1331.82064
Capella, Antonio; Otto, Felix
12
2009
Ostwald ripening of droplets: The role of migration. Zbl 1155.76057
Glasner, Karl; Otto, Felix; Rump, Tobias; Slepčev, Dejan
5
2009
Smooth zero-contact-angle solutions to a thin-film equation around the steady state. Zbl 1159.35039
Giacomelli, Lorenzo; Knüpfer, Hans; Otto, Felix
46
2008
Continuity of velocity gradients in suspensions of rod-like molecules. Zbl 1158.76051
Otto, Felix; Tzavaras, Athanasios E.
32
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
28
2008
A compactness result in thin-film micromagnetics and the optimality of the Néel wall. Zbl 1158.78011
Ignat, Radu; Otto, Felix
16
2008
Regularizing effect of nonlinearity in multidimensional scalar conservation laws. Zbl 1155.35400
Crippa, Gianluca; Otto, Felix; Westdickenberg, Michael
8
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.
22
2007
A new criterion for the logarithmic Sobolev inequality and two applications. Zbl 1109.60013
Otto, Felix; Reznikoff, Maria G.
21
2007
Wave-type dynamics in ferromagnetic thin films and the motion of Néel walls. Zbl 1135.82037
Capella, Antonio; Melcher, Christof; Otto, Felix
16
2007
Coarsening rates for a droplet model: rigorous upper bounds. Zbl 1298.76027
Otto, Felix; Rump, Tobias; Slepcev, Dejan
12
2007
A new model for contact angle hysteresis. Zbl 1125.76011
DeSimone, Antonio; Grunewlad, Natalie; Otto, Felix
8
2007
The concertina pattern: a bifurcation in ferromagnetic thin films. Zbl 1119.82043
Cantero-Alvarez, R.; Otto, F.; Steiner, J.
4
2007
Eulerian calculus for the contraction in the Wasserstein distance. Zbl 1094.58016
Otto, Felix; Westdickenberg, Michael
42
2006
Recent analytical developments in micromagnetics. Zbl 1151.35426
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
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
Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh–Bénard convection. Zbl 1122.76080
Doering, Charles R.; Otto, Felix; Reznikoff, Maria G.
34
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
Oscillatory buckling mode in thin-film nucleation. Zbl 1129.78017
Cantero-Alvarez, R.; Otto, F.
4
2006
Diffusive slowdown in miscible viscous fingering. Zbl 1184.35260
Menon, Govind; Otto, Felix
4
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
Critical fields in ferromagnetic thin films: identification of four regimes. Zbl 1151.78365
Cantero-Alvarez, R.; Otto, F.
3
2006
Nonuniversality in low-volume-fraction Ostwald ripening. Zbl 1101.82024
Conti, Sergio; Hönig, Andreas; Niethammer, Barbara; Otto, Felix
3
2006
New bounds for the Kuramoto-Sivashinsky equation. Zbl 1062.35113
Giacomelli, Lorenzo; Otto, Felix
26
2005
On first-order corrections to the LSW theory. II: Finite systems. Zbl 1100.82007
Hönig, Andreas; Niethammer, Barbara; Otto, Felix
7
2005
On first-order corrections to the LSW theory. I: Infinite systems. Zbl 1073.82013
Hönig, Andreas; Niethammer, Barbara; Otto, Felix
7
2005
Dynamic scaling in miscible viscous fingering. Zbl 1135.76323
Menon, G.; Otto, F.
5
2005
Convergence of thin film approximation for a scalar conservation law. Zbl 1082.35107
Otto, Felix; Westdickenberg, Michael
3
2005
Minimal entropy cnditions for Burgers equation. Zbl 1211.35184
De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael
23
2004
Identification of the dilute regime in particle sedimentation. Zbl 1059.76073
Jabin, Pierre-Emmanuel; Otto, Felix
19
2004
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.
17
2004
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
A phenomenological model for hysteresis in polycrystalline shape memory alloys. Zbl 1061.74042
Kružík, Martin; Otto, Felix
3
2004
Structure of entropy solutions for multi-dimensional scalar conservation laws. Zbl 1036.35127
De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael
37
2003
Coarsening dynamics of the convective Cahn-Hilliard equation. Zbl 1011.76021
Watson, Stephen J.; Otto, Felix; Rubinstein, Boris Y.; Davis, Stephen H.
34
2003
Rigorous lubrication approximation. Zbl 1039.76012
Giacomelli, Lorenzo; Otto, Felix
28
2003
Structure of entropy solutions to the eikonal equation. Zbl 1053.49028
De Lellis, Camillo; Otto, Felix
21
2003
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
Multiscale modeling of materials – the role of analysis. Zbl 1065.74056
Conti, Sergio; DeSimone, Antonio; Dolzmann, Georg; Müller, Stefan; Otto, Felix
4
2003
...and 30 more Documents
all top 5

Cited by 2,067 Authors

66 Otto, Felix
44 Carrillo de la Plata, José Antonio
25 Conti, Sergio
25 Savaré, Giuseppe
23 Ignat, Radu
23 Knüpfer, Hans
22 Gloria, Antoine
21 Peletier, Mark Adriaan
20 Mielke, Alexander
18 Wang, Feng-Yu
16 Cancès, Clément
16 Gigli, Nicola
15 Ambrosio, Luigi
15 Matthes, Daniel
15 Mourrat, Jean-Christophe
15 Muratov, Cyrill B.
15 Niethammer, Barbara
14 Li, Wuchen
14 McCann, Robert J.
14 Sturm, Karl-Theodor
13 Erbar, Matthias
13 Gentil, Ivan
13 Gozlan, Nathael
12 Andreianov, Boris
12 Fischer, Julian
12 Guillin, Arnaud
12 Serfaty, Sylvia
11 Agueh, Martial
11 Armstrong, Scott N.
11 Bella, Peter
11 Carlier, Guillaume
11 Di Francesco, Marco
11 Dolbeault, Jean
11 Maas, Jan
11 Menz, Georg
11 Ortiz, Michael
11 Schlichting, André
11 Seis, Christian
10 Brenier, Yann
10 Doering, Charles R.
10 Fathi, Max
10 Gallouët, Thomas O.
10 Giacomelli, Lorenzo
10 Masmoudi, Nader
10 Monsaingeon, Léonard
10 Ohta, Shin-ichi
10 Shao, Jinghai
10 Slepčev, Dejan
10 Velázquez, Juan J. L.
10 Villani, Cédric
10 Wu, Liming
10 Zinsl, Jonathan
9 Blanchet, Adrien
9 Carlen, Eric Anders
9 Chen, Yongxin
9 Choksi, Rustum
9 Duerinckx, Mitia
9 Esedoglu, Selim
9 Gnann, Manuel V.
9 Goldman, Michael
9 Karlsen, Kenneth Hvistendahl
9 Kim, Inwon Christina
9 Kohn, Robert Vita
9 Legoll, Frédéric
9 Ren, Xiaofeng
9 Roberto, Cyril
9 Santambrogio, Filippo
9 Strani, Marta
9 Vazquez, Juan Luis
9 Vorotnikov, Dmitry A.
8 Coclite, Giuseppe Maria
8 Gancedo, Francisco
8 Georgiou, Tryphon T.
8 Ledoux, Michel
8 Lelièvre, Tony
8 Léonard, Christian
8 Liu, Jianguo
8 Moser, Roger
8 Slastikov, Valeriy V.
8 Topaloglu, Ihsan
8 Zwicknagl, Barbara Maria
7 Alama, Stan
7 Bolley, François
7 Bronsard, Lia
7 Conlon, Joseph G.
7 DeSimone, Antonio
7 Dirr, Nicolas Peter
7 Eymard, Robert
7 Gess, Benjamin
7 Gu, Yu
7 Laurençot, Philippe
7 LeFloch, Philippe Gerard
7 Liero, Matthias
7 Lisini, Stefano
7 Lu, Jianfeng
7 Melcher, Christof
7 Novaga, Matteo
7 Osting, Braxton
7 Poliakovsky, Arkady
7 Pop, Iuliu Sorin
...and 1,967 more Authors
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Cited in 279 Serials

121 Archive for Rational Mechanics and Analysis
83 Journal of Differential Equations
78 Calculus of Variations and Partial Differential Equations
61 SIAM Journal on Mathematical Analysis
58 Journal of Functional Analysis
48 Communications in Mathematical Physics
48 Journal of Mathematical Analysis and Applications
48 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
42 Communications in Partial Differential Equations
39 Journal of Computational Physics
37 Probability Theory and Related Fields
37 Journal de Mathématiques Pures et Appliquées. Neuvième Série
35 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
35 Discrete and Continuous Dynamical Systems
33 Journal of Statistical Physics
33 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
33 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
29 Journal of Nonlinear Science
27 Physica D
26 Communications on Pure and Applied Mathematics
26 Comptes Rendus. Mathématique. Académie des Sciences, Paris
24 Journal of Fluid Mechanics
24 Journal of Mathematical Physics
24 The Annals of Probability
18 Stochastic Processes and their Applications
17 Applied Mathematics Letters
17 Journal of Scientific Computing
16 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
16 Potential Analysis
15 Advances in Mathematics
15 Numerische Mathematik
15 SIAM Journal on Numerical Analysis
15 Multiscale Modeling & Simulation
14 NoDEA. Nonlinear Differential Equations and Applications
14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
13 Transactions of the American Mathematical Society
13 Journal of Mathematical Sciences (New York)
12 Mathematics of Computation
12 Journal of Dynamics and Differential Equations
11 Nonlinearity
11 European Journal of Applied Mathematics
11 SIAM Journal on Applied Mathematics
11 Bulletin des Sciences Mathématiques
11 Bernoulli
11 Journal of Evolution Equations
10 Inventiones Mathematicae
10 Journal of Computational and Applied Mathematics
10 Proceedings of the American Mathematical Society
10 The Annals of Applied Probability
10 Networks and Heterogeneous Media
10 Stochastic and Partial Differential Equations. Analysis and Computations
9 Journal of Hyperbolic Differential Equations
8 Computers & Mathematics with Applications
8 Journal of the Mechanics and Physics of Solids
8 Journal of the European Mathematical Society (JEMS)
8 Discrete and Continuous Dynamical Systems. Series S
7 Mathematical Methods in the Applied Sciences
7 Mathematische Annalen
7 Continuum Mechanics and Thermodynamics
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 SIAM Journal on Scientific Computing
7 Interfaces and Free Boundaries
7 SIAM Journal on Imaging 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 SIAM Review
6 Physics of Fluids
6 Electronic Journal of Probability
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 Communications in Contemporary Mathematics
6 Foundations of Computational Mathematics
6 Kinetic and Related Models
6 Analysis & PDE
6 Science China. Mathematics
5 Applicable Analysis
5 Memoirs of the American Mathematical Society
5 Zeitschrift für Analysis und ihre Anwendungen
5 Acta Applicandae Mathematicae
5 The Journal of Geometric Analysis
5 Proceedings of the National Academy of Sciences of the United States of America
5 Doklady Mathematics
5 Advances in Calculus of Variations
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
5 Information Geometry
4 Computer Methods in Applied Mechanics and Engineering
4 Applied Mathematics and Optimization
4 Manuscripta Mathematica
4 Monatshefte für Mathematik
4 Ricerche di Matematica
4 Acta Mathematicae Applicatae Sinica. English Series
4 Revista Matemática Iberoamericana
4 Geometric and Functional Analysis. GAFA
4 Applied Mathematical Modelling
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Bulletin of the American Mathematical Society. New Series
4 Electronic Communications in Probability
...and 179 more Serials
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Cited in 51 Fields

1,221 Partial differential equations (35-XX)
410 Probability theory and stochastic processes (60-XX)
386 Fluid mechanics (76-XX)
384 Calculus of variations and optimal control; optimization (49-XX)
354 Statistical mechanics, structure of matter (82-XX)
257 Numerical analysis (65-XX)
150 Mechanics of deformable solids (74-XX)
124 Differential geometry (53-XX)
119 Global analysis, analysis on manifolds (58-XX)
93 Operator theory (47-XX)
70 Dynamical systems and ergodic theory (37-XX)
69 Biology and other natural sciences (92-XX)
68 Functional analysis (46-XX)
67 Real functions (26-XX)
59 Measure and integration (28-XX)
51 Classical thermodynamics, heat transfer (80-XX)
45 Optics, electromagnetic theory (78-XX)
40 Operations research, mathematical programming (90-XX)
33 Ordinary differential equations (34-XX)
32 Information and communication theory, circuits (94-XX)
30 Systems theory; control (93-XX)
28 Quantum theory (81-XX)
24 Difference and functional equations (39-XX)
21 Integral equations (45-XX)
21 Statistics (62-XX)
20 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
18 Computer science (68-XX)
16 Mechanics of particles and systems (70-XX)
13 Functions of a complex variable (30-XX)
12 General topology (54-XX)
11 Convex and discrete geometry (52-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
9 Potential theory (31-XX)
9 Geophysics (86-XX)
8 Several complex variables and analytic spaces (32-XX)
7 Geometry (51-XX)
6 Combinatorics (05-XX)
5 Special functions (33-XX)
4 Approximations and expansions (41-XX)
3 General and overarching topics; collections (00-XX)
3 Number theory (11-XX)
3 Integral transforms, operational calculus (44-XX)
3 Astronomy and astrophysics (85-XX)
2 Nonassociative rings and algebras (17-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)
1
1 Relativity and gravitational theory (83-XX)

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