This book covers methods of Mathematical Morphology to model and simulate random sets
and functions (scalar and multivariate). These models concern many physical situations in …

This paper is concerned with the problem of regularization by noise of systems of reaction–
diffusion equations with mass control. It is known that strong solutions to such systems of …

Since the seminal results by Avellaneda & Lin it is known that elliptic operators with periodic
coefficients enjoy the same regularity theory as the Laplacian on large scales. In a recent …

Since the seminal results by Avellaneda\& Lin it is known that elliptic operators with periodic
coefficients enjoy the same regularity theory as the Laplacian on large scales. In a recent …

This paper is about the homogenization of linear elliptic operators in divergence form with
stationary random coefficients that have only slowly decaying correlations. It deduces …

We give a self-contained introduction of the theory of elliptic homogenization for random
coefficient fields, starting from classical qualitative homogenization. Our exposition of the …

Four quantities are fundamental in homogenization of elliptic systems in divergence form
and in its applications: the field and the flux of the solution operator (applied to a general …

We study Coulomb gases in any dimension d\geq2 and in a broad temperature regime. We
prove local laws on the energy, separation and number of points down to the microscopic …

MS&A publishes advanced textbooks and research-level monographs that will illustrate the
scientific foundations of the modeling and simulation process as well as concrete instances …

These lecture notes offer a gentle introduction to the two-dimensional Discrete Gaussian
Free Field with particular attention paid to the scaling limits of the level sets at heights …