We cover the theory and applications of sparse stochastic processes (SSP). SSP are solutions of differential equations driven by non-Gaussian innovations. They admit a parsimonious representation in a wavelet basis and are relevant to coding, compressed se ...
We will present the theory of PDEs and of transport equations with rough (non Lipschitz) velocity fields, address both the renormalisation theory by DiPerna-Lions-Ambrosio and its quantitative Lagrangian counterpart and show applications to mixing estimate ...
Learning Fourier Series and Boundary Value Problems with a view to a variety of science and engineering problems. Learn the use of special functions like Bessel functions and applications. Introduce the doctoral students to general Sturm-Liouville problems ...
Superstudio est la plate-forme qui permet d'esquisser une vision de l'architecture qui, pour être efficace en termes de clarification d'une idée, doit pouvoir se manifester dans des formes poussées à l'excès. ...
I will introduce integral equation formulations for the Laplace, the wave equations and the electromagnetic scattering problem. The wellposedness and the discretization of these problems are discussed. ...
Quantum mechanics is one of the most successful physical theories. This course presents the mathematical formalism (functional analysis and spectral theory) that underlies quantum mechanics. It is simultaneously an introduction to mathematical physics and ...