Félix Otto
- Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
2000/06/01 by F. Otto, Félix Otto, C. Villani +1 · 107 citations
Mathematics · #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Point processes and geometric inequalities
- Convergence of the thresholding scheme for multi-phase mean-curvature\n flow
2016/02/18 by Tim Laux, Félix Otto, Laux, Tim +1 · 4 citations
Mathematics · #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Geometry and complex manifolds
- The corrector in stochastic homogenization: optimal rates, stochastic integrability, and fluctuations
2015/10/28 by Antoine Gloria, Félix Otto, Gloria, Antoine +1 · 6 citations
Computer Science · Mathematics · Engineering · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Composite Material Mechanics
- A priori bounds for quasi-linear SPDEs in the full sub-critical regime
2021/03/19 by Félix Otto, Otto, Felix, Jonas Sauer +5 · 3 citations
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Probability (math.PR) #Stability and Controllability of Differential Equations
- Numerical study in stochastic homogenization for elliptic PDEs: convergence rate in the size of representative volume elements
2019/03/28 by Venera Khoromskaia, Khoromskaia, Venera, Boris N. Khoromskij +3 · 2 citations
Computer Science · Engineering · #65F10 #65F30 #65F50 #65N35 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Composite Material Mechanics #FOS: Mathematics #Numerical Analysis (math.NA)
- The Gaussian free-field as a stream function: asymptotics of effective diffusivity in infra-red cut-off
2022/12/29 by Georgiana Chatzigeorgiou, Peter S. Morfe, Chatzigeorgiou, Georgiana +5 · 3 citations
Mathematics · Biochemistry, Genetics and Molecular Biology · Computer Science · #Stochastic processes and statistical mechanics #Diffusion and Search Dynamics #Advanced Mathematical Modeling in Engineering
- The structure of fluctuations in stochastic homogenization
2016/02/04 by Mitia Duerinckx, Duerinckx, Mitia, Antoine Gloria +3 · 2 citations
Computer Science · Engineering · Environmental Science · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #CO2 Sequestration and Geologic Interactions #Composite Material Mechanics #FOS: Mathematics #Probability (math.PR)
- Robustness of the pathwise structure of fluctuations in stochastic\n homogenization
2018/07/31 by Mitia Duerinckx, Antoine Gloria, Duerinckx, Mitia +3 · 2 citations
Computer Science · Engineering · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics #Probability (math.PR) #Theoretical and Computational Physics
- Anchored Nash inequalities and heat kernel bounds for static and dynamic\n degenerate environments
2015/03/28 by Jean-Christophe Mourrat, Mourrat, Jean-Christophe, Félix Otto +1 · 1 citation
Mathematics · #26D10 #35B65 #35K65 #60K37 #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Stochastic processes and statistical mechanics #advanced mathematical theories
- Higher-order pathwise theory of fluctuations in stochastic\n homogenization
2019/03/06 by Mitia Duerinckx, Duerinckx, Mitia, Félix Otto +1 · 2 citations
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Composite Material Mechanics #Numerical methods in inverse problems
- Bias in the representative volume element method: periodize the ensemble instead of its realizations
2022/05/27 by Nicolas Clozeau, Clozeau, Nicolas, Marc Josien +5 · 1 citation
Computer Science · Earth and Planetary Sciences · Environmental Science · #Analysis of PDEs (math.AP) #Computer Graphics and Visualization Techniques #FOS: Mathematics #Geological Modeling and Analysis #Numerical Analysis (math.NA) #Soil Geostatistics and Mapping
- A large-scale regularity theory for the Monge-Ampere equation with rough data and application to the optimal matching problem
2018/08/28 by Michaël Goldman, Martin Huesmann, Goldman, Michael +3 · 1 citation
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations