Abstract: We present some results for Radon measure-valued solutions of first order scalar conservation laws. In particular we discuss the case in which the singular part of the initial datum is a sup...
We study some qualitative properties of the solutions to a segregation limit problem in planar domains. The main goal is to show that, generically, the limit configuration of N competing populations c...
In this seminar we present a mathematical model to describe the evolution of a city, which is determined by the interaction of two large populations of agents, workers and firms. The map of the city i...
We consider classical continuous system of interacting particles in Euclidean space (classical gas). Our approach to the limit theorems for the particle number is based on the method of cluster expans...
Abstract:In this seminar I will present some of my research activities related to the rigorous analysis of a quantum particle confined in a bounded region of space. In the first part of the seminar I ...
To any vertex algebra one can attach invariants of different nature: its automorphism group, its character (a formal series), its associated variety (a Poisson variety), etc. In this talk, I will exp...
We consider a large class of spatially-embedded random graphs that includes among others long-range percolation, continuum scale-free percolation and the age-dependent random connection model. We assu...
Abstract: I will present a study on the asymptotic behavior of the volume preserving mean curvature and the Mullins-Sekerka flat flows in three dimensional space, for which we need to establish a ...
In this seminar we will illustrate a work in collaboration with Ariela Briani and Hitoshi Ishii that extents the well known result on thin domains of Hale and Raugel. The test function approach of C. ...
Let \( G \) be a simple algebraic group and \( \mathcal O \subset \mathfrak g = Lie(G) \) a nilpotent orbit. If \( H \) is a reductive subgroup of \( G \), then \( \mathfrak g = \mathfrak h \oplus \ma...
In this talk we consider a spatial version of the Marcus-Lushnikov process, which models the evolution of particles that merge pairwise in a series of coagulation events. The particles are equipped wi...
