211 citations · 313 across the 8 of their papers we have counts for
8 papers
From Combinatorics to Partial Differential Equations
Francesco Mattesini, Felix Otto
The optimal matching of point clouds in is a combinatorial problem; applications in statistics motivate to consider random point clouds, like the Poisson point proce…
Lecture notes on the harmonic approximation to quadratic optimal transport
Lukas Koch, Felix Otto
These lecture notes present the quantitative harmonic approximation result for quadratic optimal transport and general measures obtained by Goldman and Otto. The aim is to give a c…
A tree-free approach to regularity structures: The regular case for quasi-linear equations
Pablo Linares, Felix Otto
We give a motivation and gentle introduction into the regularity structure and model introduced by Otto, Sauer, Smith and Weber, which fall into the framework of Hairer, but have a…
Stochastic homogenization of linear elliptic equations: Higher-order error estimates in weak norms via second-order correctors
Peter Bella, Benjamin Fehrman, Julian Fischer +1
We are concerned with the homogenization of second-order linear elliptic equations with random coefficient fields. For symmetric coefficient fields with only short-range correlatio…
Corrector estimates for elliptic systems with random periodic coefficients
Peter Bella, Felix Otto
We consider an elliptic system of equations on the torus with random coefficients , that are assumed to be coercive and stationary.…
Quantitative results on the corrector equation in stochastic homogenization
Antoine Gloria, Felix Otto
We derive optimal estimates in stochastic homogenization of linear elliptic equations in divergence form in dimensions . In previous works we studied the model problem of a…