Optimal matching problems are very classical in computer science, physics and mathematics. In this talk, we will discuss the related rates of convergence of empirical measures associated with n independent random points, whose common distribution is…
Categoria evento: Probability and Stochastic Analysis and Statistics Seminar
Phase transitions for $\\phi^4_3$ – Trishen Gunaratnam (Université de Genève)
In this talk I will discuss recent results obtained in joint work with Ajay Chandra (Imperial) and Hendrik Weber (Bath) about the large-scale behaviour of the $\phi^4_3$ Euclidean field theory. In particular, I will discuss a surface order large…
Averaging principle and random growth – Ruojun Huang (Scuola Normale Superiore)
Motivated by questions in reinforced random walks and the asymptotic shape of their range, we study a simplified model of random growth in the continuum. In this model, random sets grow by increment of small bumps at the boundary, driven by a…
A probabilistic approach to convex entropy decay for Markov chains – Giovanni Conforti (École Polytechnique)
A powerful technique to quantify the trend to equilibrium and the best constants in the associated functional inequalities for diffusions on Riemannian manifolds consists in establishing convexity estimates for the relative entropy via the so called…
Aging in the Edwards-Wilkinson and KPZ universality classes – Tal Orenshtein (Berlin)
Aging is an asymptotic property of non-equilibrium dynamical systems that captures non-trivial relaxation time temporal change; a canonical formulation is expressed in terms of the correlations of the system at two large times with a fixed relation.…
Hydrodynamic limit for a facilitated exclusion process – Marielle Simon (Inria Lille)
In this talk we will be interested in a one-dimensional exclusion process subject to strong kinetic constraints, which belongs to the class of cooperative kinetically constrained lattice gases. More precisely, its stochastic short range interaction…
On the speed of propagation for stochastic Hamilton-Jacobi equations – Paul Gassiat (Université Paris Dauphine)
We study the speed of propagation of initial data for Hamilton-Jacobi equations with multiplicative rough (typically stochastic) time dependence. We first show that, in contrast with the classical (deterministic) case, in general this speed may be…
Geometry of random eigenfunctions and Wiener chaos – Maurizia Rossi (Université Paris Descartes)
Venue Sala Seminari (Dip. Matematica). Abstract…
A weak universality result for the parabolic Anderson model – Nicolas Perkowski (Humboldt-Universität zu Berlin)
We consider a class of nonlinear population models on a two-dimensional lattice which are influenced by a small random potential, and we show that on large temporal and spatial scales the population density is well described by the continuous…
Chemical reaction networks: deterministic and stochastic models – Daniele Cappelletti (University of Wisconsin – Madison)
Chemical reaction networks are mathematical models used in biochemistry, as well as in other fields. Specifically, the time evolution of a system of biochemical reactions are modelled either deterministically, by means of a system of ordinary…