Top-level heading

Struttura dell'insieme singolare di molteplicità 2 per superfici minime

Seminari degli  studenti di dottorato. In questo lavoro studiamo la struttura dell’insieme singolare delle funzioni a 2 di classe C^{1,α} su R^n il cui grafico è una varifold stazionaria di codim...

Variational methods for coarse graining with long range interactions

Seminari degli  studenti di dottorato. In this talk we will discuss the use of variational methods for investigating crystallization problems. In such problems the typical functionals considered ...

Degenerations of conical Kähler-Einstein metrics

We study the degenerations of conical Kähler-Einstein metrics when the cone angle becomes small. In particular, in the Fano case, we solve a question of Donaldson (2012). Joint work with Henri Guenanc...

Multi-lane vehicular flow models: the effects of lane changes on the traffic stability

This talk is devoted to the modeling and the stability of multi-lane traffic flow in the microscopic and macroscopic frameworks. First we present the study of a second order microscopic Follow-the-Lea...

On the cost of covering a fraction of a macroscopic body by a simple random walk.

In this talk we aim at establishing large deviation estimates for the probability that a simple random walk on the Euclidean lattice (d>2) covers a substantial fraction of a macroscopic body. It tu...

Green functions for a quasilinear operator and applications

We discuss existence, uniqueness and “regularity” issues for the Green function of the quasi-linear operator u \to -\Delta_p u-\lambda...

GCD results on semiabelian varieties and a conjecture of Silverman

A divisibility sequence is a sequence of integers d_n such that, if m divides n, then d_m divides d_n. Bugeaud, Corvaja, Zannier showed that pairs of divisibility sequences of the form a∧n−1 have only...

Stochastic homogenisation of free-discontinuity problems

In this talk we discuss the stochastic homogenisation of free-discontinuity functionals. Assuming stationarity for the random volume and surface integrands, we prove the existence of a homogenised ran...

On a Donaldson functional for CMC-immersions of surfaces into hyperbolic 3-manifolds

We discuss a parametrization for the moduli space of Constant Mean Curvature (CMC)immersions of a closed surface S (orientable and of genus at least 2) into hyperbolic 3-manifolds by elements of the t...

A filtering monotonization technique for DG discretizations of hyperbolic problems

In this talk, I will introduce a filtering technique for Discontinuous Galerkin approximations of hyperbolic problems. After a brief overview of classical monotonization techniques, I will present an ...

Long time asymptotic of action functionals

I will provide a self-contained variational approach to state some classical and new results in the framework of Aubry-Mather theory. More precisely, I will discuss the expansion by Gamma-convergence ...