Image restoration refers to the recovery of a clean sharp image from a noisy, and potentially blurred, observation. Based on the assumption that noise is additive and white, we propose a novel variati...
We discuss a general approach to understand phase separation and metastability in stochastic particle systems that exhibit a condensation transition. Condensation occurs when, above some critical dens...
Given a Lipschitz vector field, the classical Cauchy-Lipschitz theory gives existence, uniqueness and regularity of the associated ODE flow. In recent years, much attention has been devoted to extensi...
Abstrcat: A minimal model for studying the mechanical properties of amorphous solids is a disordered network of point masses connected by springs. At a critical value of its mean connectivity, such a ...
The mixture of gas and solid particles in non-equilibrium conditions that compose a multiphase flows is described with a set of coupled partial differential equations for the mass, momentum and energy...
Shape-from-shading is a well-known, although ill-posed, 3D-reconstruction technique. Photometric stereo is an extension of shape-from-shading, where several light sources are used to illuminate the sc...
We discuss a fixed point method to obtain a local central limit theorem for distributions defined by certain renewal type equations. The main motivation for investigating these equations stems from ap...
Abstract: The mechanical behaviour of granular materials depends on their grading. Crushing of particles under compression or shear modifies the grain size distribution, with a tendency for the percen...
Two-point boundary value problems (TPBVPs) for conservative systems are studied in the context of the stationary action principle. For sufficiently short time horizons, this converts dynamical systems...
Zero-sum stochastic games with finite state and action spaces, perfect information, and mean payoff criteria arise in particular from the monotone discretization of mean-payoff pursuit-evasion determi...
What is the analogue of the principal eigenvalue for elliptic operators with non-compact resolvents? Focusing on the case where the lack of compactness is due to the unboundedness of the domain, we sh...