The volume growth entropy is the exponential growth rate of volume of balls in a Riemannian manifold. A conjecture of Gromov and Katok in the early 80’s states that the only knowledge of the entropy gives important informations about the ambient…
Categoria evento: Seminars
A brief introduction to rough paths theory – II – Giovanni Zanco (IST Austria)
We will introduce basic concepts and tools from rough paths theory, motivated by the need to establish a solution theory for differential equations driven by irregular signals. In particular we will discuss controlled rough paths, integration…
Nonlinear stability results for the Ohta-Kawasaki energy and for the nonlocal Mullins-Sekerka flow – Massimiliano Morini (Universita’ di Parma)
It has been recently shown that strictly stable critical configurations for the Ohta-Kawasaki energy are in fact isolated local minimizers with respect to small $L^1$-perturbations. After reviewing such results and some of their applications, we…
A brief introduction to rough paths theory – I – Giovanni Zanco (IST Austria)
We will introduce basic concepts and tools from rough paths theory, motivated by the need to establish a solution theory for differential equations driven by irregular signals. In particular we will discuss controlled rough paths, integration…
Calcolo di Malliavin per Strutture di Regolarità: il caso di gPAM – Giuseppe Cannizzaro (TU Berlin)
Le strutture di regolarità, introdotte da M. Hairer in A theory of Regularity Structures, hanno permesso di risolvere in modo robusto una ricca classe di equazioni alle derivate parziali stocastiche (SPDEs) mal poste. In questa presentazione…
Optimization & Numerical Analysis seminars. The Infinity Computer and numerical computations with infinities and in infinitesimals. – 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, Università di Pisa.)
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…
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…