Top-level heading

Sul Principio di Indeterminazione

Introdurrò una descrizione puramente analitico-reale del Principio di Indeterminazione, in alcune delle sue note manifestazioni matematiche (indeterminazione di Heisenberg, indeterminazione di Hardy, ...

Modeling complex dependence using gluing and vine copulas

Bivariate dependence may be of such complexity that no single family of known parametric copulas is able to give an acceptable goodnes of fit. The gluing copula approach may be of good help in decompo...

Random walk on the East model (and other environments with spectral gap)

The East model is a one-dimensional interacting particle system with non attractive spin-flip dynamics. In the physics literature, it is a key example of a model with glassy features. Here we take thi...

Fluctuation results for Hastings-Levitov planar growth

In 1998 the physicists Hastings and Levitov introduced a family of continuum models to describe a range of physical phenomena of planar aggregation/diffusion. These consist of growing random clusters ...

Lattice Boltzmann simulations across scales of fluid motion: classical, quantum and relativistic

For more than two decades, the Lattice Boltzmann (LB) method has gained increasing interest as an efficient computational scheme for the numerical simulation of complex fluid problems across a broad r...

Endpoint regularity of 2-d Mumford-Shah minimizers

We discuss an epsilon-regularity result at the endpoint of connected arcs for 2-dimensional Mumford-Shah minimizers obtained in a joint work with C. De Lellis (U. Zuerich). As an outcome of our analys...

Random walks on (hyperbolic) groups.

the first part of the talk will be an introduction to the general theory of random walks on groups with some classical results on entropy, rate of escape ... . For hyperbolic groups, these probabilist...

Collision avoidance in pedestrian dynamics

Experiments indicate that one of the main forces in pedestrian dynamics is collision avoidance. In other words individuals actively anticipate the future to predict a possible collision time and adjus...

Hamilton Jacobi equations on graphs and applications

We introduce a notion of gradient and an infimal-convolution operator that extend properties of solutions of Hamilton Jacobi equations to more general spaces, in particular to graphs. As a main applic...

Non-topological condensates for the self-dual Chern-Simons-Higgs model

We discuss vortex configurations in the abelian self-dual Chern-Simons-Higgs model, where topological invariants can just describe a part of the picture. We construct non-topological condensates (=dou...

Blended numerical schemes for the advection equation

In this talk we discuss a method to couple two or more explicit numerical schemes approximating the same equation, in order to create new schemes which inherit advantages and drawbacks of the original...

A quantitative theory of stochastic homogenization

The topic of stochastic homogenization of elliptic partial differential equations in divergence form is classical. It is about the homogeneous large-scale behavior of heterogeneous media, like conduct...