Past Events

This talk outlines multiscale problems which combine techniques of model reduction and filtering. Multiple time scales occur in models throughout the sciences and engineering, where the rates of change of different variables differ by orders of...

We introduce a 2x2 nonlinear nonlocal system. On the one hand, it models possible blow-up mechanism in the 3D Euler equations; On the other hand, it can be seen as a further step in the recent progress in understanding the role of nonlocal operators...

Among the open problems for SLE suggested by Oded Schramm in his 2006 ICM talk is that of obtaining \reasonable estimates for the speed of convergence of the discrete processes which are known to converge to SLE." In this talk we derive a rate for...

Two topics will covered in this talk. The first part concerns the dynamics of coupled excitable FitzHugh-Nagumo elements in the presence of noise, which is used to model the frequency variations in beating cardiac cultures. As the coupling strength...

Geometrization is a process of replacing finite sets by algebraic varieties over finite field and functions on such sets by sheaves on the corresponding variety. I will explain the meaning of the above sentence and state some applications.

PELICANS is a C++ framework with a set of integrated reusable components, designed to simplify the task of developing applications of numerical mathematics and scientific computing. The program is developed at IRSN (France) and available under an...

In joint work with Adam Clay, we establish a necessary condition that an automorphism of an orderable group can preserve an ordering: at least one of its eigenvalues, suitably defined, must be real and positive. Applications will be given to knot...

In my work with Miguel Mendez, we provided a new combinatorial model for the coefficients appearing in the normal ordering of q-Boson words, by introducing combinatorial structures called bugs, colonies and settlements. In this lecture I will show...

The classical Sobolev inequalities are important tools for partial differential equations, probability theory and geometric analysis. In this talk, I give an introduction to the area of the Sobolev inequalities. I will then discuss some new...

In this talk, we first discuss the second iteration argument introduced by Bourgain to establish LWP of KdV with measures as initial data. Then, we establish LWP of the stochastic KdV (SKdV) with additive space-time white noise by estimating the...