The lecture presents a recent methodology allowing one to execute numerical computations with finite, infinite, and infinitesimal numbers on a new type of a computer – the Infinity Computer – patented in EU, USA, and Russia (see [23]). The new…
Categoria evento: Seminars
Optimization & Numerical Analysis seminars. Lipschitz global optimization – Yaroslav D. Sergeyev – Università della Calabria and N.I. Lobachevsky University of Nizhni Novgorod, Russia (Il Seminario si svolgerà nella Sala Seminari Ovest, Dipartimento Informatica.)
Global optimization is a thriving branch of applied mathematics and an extensive literature is dedicated to it (see e.g., [1–24]). In this lecture, the global optimization problem of a multidimensional function satisfying the Lipschitz condition…
Optimization & Numerical Analysis seminars. A framework for structured linearizations of matrix polynomials in various bases. – Raf Vandebril – KU Leuven (Il Seminario si svolgerà nella Sala Seminari Ovest, Dipartimento Informatica, Università di Pisa.)
We present a framework for the construction of linearizations for scalar and matrix polynomials based on dual bases which, in the case of orthogonal polynomials, can be described by the associated recurrence relations. The framework provides an…
Optimal bounds for mixtures of ferromagnetic interactions – Leonard Kreutz (GSSI (Gran Sasso Science Institute), L’Aquila)
We completely describe the effective surface tension of periodic mixtures of two types of ferromagnetic interactions. This problem is linked to optimal design of networks and their metric properties. This is joint work with A. Braides.…
Crystal dislocation dynamics, collisions, relaxation times and asymptotics – Enrico Valdinoci
We consider an equation (or a system of equations) inspired by the Peierls-Nabarro model for crystal dislocation. We study the evolution of such dislocation function and show that, at a macroscopic scale, the dislocations have the tendency to…
Boundary behavior and geometric properties of nonlocal minimal surfaces – Serena Dipierro
We recall the notion of nonlocal minimal surfaces and we discuss their qualitative and quantitative interior and and boundary behavior. In particular, we present some optimal examples in which the surfaces stick at the boundary. This phenomenon is…
Discrete approximations of Gromov’s simplicial volume – Roberto Frigerio
The simplicial volume is a homotopy invariant of closed manifolds defined by Gromov in 1982. For a manifold M, it is bounded from above by the minimal number of top-dimensional simplices in a triangulation of M, and roughly speaking it measures the…
Phase segregation for binary mixtures of Bose-Einstein Condensates – Michael Goldman
In this talk I will discuss the (asymptotic) shape of the minimizers of a Gross-Pitaievskii functional describing Bose-Einstein condensates with two components. We will be interested in the regime of strong segregation where the two components do…
A partial Gamma-convergence result for a family of functionals depending on curvatures – Luca Lussardi (Università Cattolica, Brescia)
Biomembranes are remarkable structures with both fluid-like and solid-like properties: the main constituents are amphiphilic lipids, which have a head part that attracts water and a tail part that repels it. Because of these properties, such lipids…
Optimization & Numerical Analysis seminars. Minimization algorithms for compressive sensing. – Andrea Masciotta – Dipartimento di Matematica Università di Pisa (Il Seminario si svolgerà nella Sala Seminari Ovest, Dipartimento Informatica.)
Compressive sensing is a new approach to digital signals acquisition and processing. Its main aim is the reconstruction of sparse signals or images (i.e. with few significant coefficients) from what was previously believed to be incomplete…