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Normal approximation for recovery of structured unknowns in high dimension: Steining the Steiner formula

Intrinsic volumes of convex sets are natural geometric quantities that also play important roles in applications. In particular, the discrete probability distribution L(VC) given by the sequence v{0},...

The winding number of planar Brownian motion

From an explicit formula for the joint density of the radial part and the winding number of a planar Brownian motion, we obtain asymptotic expansions (as t tends to infinity) for the density of the wi...

Diffusione e superdiffusione dell'energia in catene di oscillatori

In catene unidimensonali tipo FPU la conduttività termica e' infinita e ci si aspetta una superdiffusione dell'energia. In una catena di oscillatori armonici con collisioni stocastiche conservan...

Excited random walks in Markovian cookie environments on Z

We consider a nearest-neighbor random walk on Z whose probability ω(x, n) to jump to the right from site x depends not only on x but also on the number of prior visits n to x. The collection (ω(x, n...

On the connection between homogenization of some stochastic Hamilton-Jacobi-Bellman equations and large deviations of diffusions with random drift in a random potential

The connection mentioned in the title is well-known (see, for example, A.-S. Sznitman, Brownian motion in a Poissonian potential, 1993, PTRF). The goal of the talk is to review some necessary facts fr...

Dynamics of an intruder in a granular fluid: from dilute to dense experiment.

A single experimental setup is the occasion for a tour into many issues in non-equilibrium statistical mechanics. In the experiment, a rotating intruder performs a Brownian-like dynamics under the inf...

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...

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...

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 ...

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...
Iscriviti a a.a. 2015-2016