[CvGmt News] avviso di seminari di matematica alla Scuola Normale - giugno 2003

[Valeria Giuliani]

Gentile prof./dott.,
la avvertiamo che nei prossimi giorni alla Scuola Normale si terrà il seguente seminario di matematica nell'ambito del Colloquio De Giorgi:

Giovedì 5 Maggio 2003, in aula Mancini alle ore 15:00,
Prof. Gérard Ben Arous - Ecole Polytechnique Federale de Lausanne
"Random Media: when homogenization is not enough".
Joint work with S.Molchanov (North Carolina), L.Bogatchev(Leeds), A.Ramirez
(Santiago)
Limit theorems in probability are often seen (in particular by analysts) as tools to get rid of randomness. The Law of Large Numbers, the Central limit theorem (and its close cousin  Homogenization theory) are such efficient tools to replace complex random media by simple effective deterministic ones. We will here survey situations of dynamics in random media where the randomness is irreducible to a deterministic picture, where the picture in the averaged (or homogenised) medium is very different from the behaviour in the "quenched" medium (where randomness is frozen), due to the strong influence of the extreme values of the random elements of the models.
These examples include Random Walks in Random Traps (or, for analysts, the heat equation in a randomly perforated domain), branching random walks in random media (or Random Reaction Diffusion Equations) and if time permits, dynamics of spin glasses.
We will exhibit that there exists a new and general rich transition between these two extreme descriptions of the medium(averaged and quenched). This transition (in its simplest version) can be seen as a way to interpolate between the two most classical sets of limit theorems in probability, those for sums of i.i.d random variables, and those for their extreme values.

Cordiali saluti
Segreteria della Classe di Scienze
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