I will describe the profile of optimal solutions of the martingale counterpart of the Monge mass transport problem. These are one-step martingales that maximize or minimize the expected value of the m...
Abstract: Today’s 3D printers are likely to revolutionize personal fabrication, with their hardware improving everyday and their cost getting lower. In this walk, I will present my work in using 3D pr...
We study the Chen-Lubensky free energy functional to understand the zigzag pattern formed in a smectic A liquid crystal in the presence of an applied magnetic field. We identify a small dimensionless ...
The Kolmogorov 1941 theory (K41) is, in a way, the starting point for all models of turbulence. In particular, K41 and corrections to it provide estimates of small-scale quantities such as increments ...
We examine atypical current fluctuations in totally asymmetric zero-range processes in one dimension with periodic boundary conditions. The zero-range processes is a stochastic lattice gas in which ea...
We consider the stochastic Burgers equation from a Lagrangian viewpoint. In other words, we study the dynamical behaviour of the energy minimisers which give the variational behaviour of the solution....
Partial integro-differential equation (PIDE) formulations are often preferable for pricing options under models with stochastic volatility and jumps. In this talk, we consider the numerical approximat...
Building upon the Almgren's big regularity paper, Chang proved in the eighties that the singularities of area-minimizing integral 2-dimensional currents are isolated. His proof relies on a suitable im...
Nel seminario presenterò una nuova famiglia di metodi numerici per la approssimazione di equazioni di convoluzione associate alle equazioni delle onde. Lavorando nel dominio di Laplace, siamo riusciti...
Brezis posed the problem of uniqueness for solutions in a ball for Brezis- Nirenberg problem. it was solved by many people, The main ingredient is the clever way using the Pohozaev Identity. But in di...
We discuss and stress the role of ultramodularity in special types of constructions of binary copulas. After recalling of some known ultamodularity-based results, we focus on a the so-called D-product...
