Top-level heading

Analysis of time operators

Abstract: The time operator is informally defined as a symmetric operator satisfying CCR with a given self-adjoint operator H, i.e. [H,T]=i[H,T]=i. However it is nontrivial to construct T associated w...

Grandi deviazioni rispetto al moto per curvatura media

Si consideri l'equazione di Allen-Cahn in dimensione d=2 o d=3. Effettuando un riscalamento diffusivo, per dati iniziali opportuni, la dinamica limite dell'interfaccia tra le due fasi stabili e' descr...

Nonlinear PDEs arising in photometric 3D-reconstruction: why they are unavoidable and how to handle them

Photometric 3D-reconstruction techniques aim at inferring the 3D geometry of a scene, given one or several 2D images of this scene. They do so by analyzing the luminous quantities in the images. A phy...

On a Problem of Kendall

Abstract: In this talk we consider a stochastic point process $i + \xi_i$, where $i\in \mathbb{N}$ and the $\xi_i's$ are i.i.d exponential random variables with standard deviation $\sigma$. Some prope...

On the critical values of random spherical harmonics.

Abstract: We study the limiting distribution, in the high energy limit, of critical points and extrema of random spherical harmonics. In particular, we first derive the density functions of extrema an...

Shape Memory Polymer Composites for Aerospace Applications

Abstract: Shape memory polymers and their composites (SMPs and SMPCs) belong to a new class of smart materials, which can have interesting applications as expandable/deployable structures and light ac...

Topological states in wave propagation: an introduction

Abstract: Topological insulators are materials where the bulk propagation of waves is twisted in a particular, topological way. At an interface between systems with different topologies, edge states w...

A Quantitative Central Limit Theorem for the Euler-Poincaré Characteristic of Random Spherical Eigenfunctions

We establish here a Quantitative Central Limit Theorem (in Wasserstein distance) for the Euler-Poincaré Characteristic of excursion sets of random spherical eigenfunctions in dimension 2. Our proof i...