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...
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...
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...
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...
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...
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 ...
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 ...
On a bounded domain of the Euclidean space R2m,m>1, Adimurthi, Robert and Struwe pointed out that, even assuming a volume bound ∫e2mudx≤C, some blow-up solutions for prescribed Q-curvature equation...
I plan to discuss the construction of Baxter Q-operators within the framework of the Quantum Inverse Scattering Method. The method follows the standard procedure for the transfer matrix construction o...
