AN AUTUMN DAY IN PROBABILITY AND STATISTICAL PHYSICS
University of Florence FRIDAY 23 NOVEMBER 2018
Lecturers: Giovanni Jona Lasinio (Roma) and Giambattista Giacomin (Paris)
LOCATION: AULA TRICERRI VIALE MORGAGNI 67, FIRENZE
PROF. GIOVANNI JONA LASINIO (Universita` di Roma La Sapienza)
TITLE: SINGULAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
ABSTRACT: Singular stochastic partial differential equations (SSPDE) first appeared in rather special contexts like the stochastic quantization of field theories or in the problem of crystal growth, the well known KPZ equation. In the last decade these equations have been intensely studied giving rise to an important branch of mathematics possibly relevant for physics. This talk will review some aspects and open problems in the subject.
PROF. GIAMBATTISTA GIACOMIN (Université Paris Diderot)
TITLE: Infinite disorder renormalization fixed point: the big picture and one specific result.
ABSTRACT: the natural question of the effect of a random environment («disorder») on phase transitions and critical phenomena has attracted a lot of attention. I will give an introduction to this domain of research via an overview of some of the physical predictions and of the mathematical approaches and challenges. I will in particular develop the notion of disorder relevance and irrelevance. The focus will be on a very basic class of statistical mechanics model - called pinning models - for which in the last years the mathematical work matched the physical counterpart and, in some cases, went beyond. Nevertheless, also for pinning models the results in the regime in which disorder is relevant are rather weak and many of the physical predictions do not appear to be solid or coherent. But the situation has evolved very recently and a certain consensus has grown in favor of a very strong smoothing effect of the disorder for this class of models when disorder is relevant. This is part of a very intriguing and challenging general physical picture. The aim of the second part of the seminar is to present a very specific pinning model in which we have been able to pinpoint this strong smoothing effect (work in collaboration with Quentin Berger and Hubert Lacoin, arXiv:1712.02261). I hope I will be able to explain why we could tackle this case (and not other ones) and to develop (or sketch) at least one of the main technical ideas that are at the center of our approach.
Program: 11.00-11.45 Introductory lecture: Jona Lasinio 11.45-12.00 Break 12.00-13.00 Seminar: JonaLasinio 13.00-14.30 Lunch 14.30-15.15 Introductory lecture: Giacomin 15.15-15.30 Break 15.30-16.30 Seminar: Giacomin
Organizers: F. Caravenna, N. Cancrini, E.N.M. Cirillo, P. Dai Pra, A. De Masi, D. Fanelli, F. Flandoli C. Giardina`, R. Livi, F. Martinelli, I.G. Minelli, F.R. Nardi, E. Presutti, B. Scoppola, E. Scoppola
Ricordo che ciascuno oratore fara` una lezione introduttiva e divulgativa di 45 minuti pensata proprio per i non esperti, seguita da altri 45 minuti di tipo seminario (vedi programma).
Maggiori informazioni e aggiornamenti sono reperibili alla pagina web
http://web.math.unifi.it/users/fnardi/seminari/
Note pratiche: 1) E` importante prenotare il biglietto del treno il piu` presto possibile per poter usufruire di sconti!!!! 2) Stiamo prenotando un ristorante (diverso dal precedente) con un paio di menu fissi (di cui uno vegerariano) che possa ospitarci, ma ho bisogno del numero di persone che vogliono mangiare insieme. A coloro che fossero interessati chiedo di mandare un email a francescaromana.nardi@unifi.it Resta fermo il fatto che saremo in pieno centro di Firenze, quindi ci sono moltissime altre possibilita` per mangiare se preferite regolarvi indipendentemente.
Vi aspettiamo numerosi Francesca R. Nardi
Dipartimento di Matematica e Informatica Università degli Studi di Firenze Viale Morgagni 67, Firenze, Italy