Mardi 1er juin

14h30 - 16h30 : Frank DEN HOLLANDER (Eindhoven). Lecture 1: Basic polymer models (SAW, Domb-Joyce, Edwards)
16h30 - 17h00 : Pause
17h00 - 17h30 : Nicolas PETRELIS (Rouen). Copolymère et modèle d'accrochage
17h30 - 18h00 : Lorenzo ZAMBOTTI (Milano). Scaling limits of equilibrium wetting models in (1+1)-dimension

Mercredi 2 juin

09h15 - 11h15 : Frank DEN HOLLANDER (Eindhoven). Lecture 2: Variations on basic polymer models (charged polymers, polymers with long range interactions)
11h15 - 11h45 : Pause
11h45 - 12h15 : Francesco CARAVENNA (Milano Bicocca et Paris 7). Un théorème limite local pour des marches sous la contrainte d'être positives

14h00 - 15h00 : Fabio TONINELLI (Zürich). The Kac limit for finite-range spin glasses
15h00 - 16h00 : Amine ASSELAH (Marseille). Hitting Time: sharp estimates for some monotone particle systems
16h00 - 16h30 : Pause
16h30 - 17h00 : Olivier BERTONCINI (Rouen) Cutoff et métastabilité, un exemple introductif
17h00 - 17h30 : Cédric BERNARDIN (ENS Cachan). Heat conduction model

Jeudi 3 juin

9h00 - 11h00 : Frank DEN HOLLANDER (Eindhoven). Lecture 3: Heteropolymers (near interfaces, in emulsions)
11h00 - 11h30 : Pause
11h30 - 12h30 : Giambattista GIACOMIN (Paris 7). Copolymères et milieux sélectifs

COURS

F. DEN HOLLANDER (Eindhoven)

-- Lecture 1 (two hours): Basic polymer models (SAW, Domb-Joyce, Edwards)

-- Lecture 2 (two hours): Variations on basic polymer models (charged polymers, polymers with long range interactions)

-- Lecture 3 (two hours): Heteropolymers (near interfaces, in emulsions).

Pour obtenir le fichier du cours.

CONFÉRENCES

Amine ASSELAH (Marseille)

Hitting Time: sharp estimates for some monotone particle systems.

We will review results obtained in the last four years concerning Hitting Times for increasing patterns for some conservative monotone systems, and emphasize open problems.

Cédric BERNARDIN (Paris)

Heat conduction model.

We introduce a heat conduction model for solids with heat periodic boundary conditions. Atoms of crystal interact as coupled oscillators exchanging velocities such that the total energy is conserved. We examine the hydrodynamic behavior of this system.

Olivier BERTONCINI (Rouen)

Cutoff et métastabilité, un exemple introductif.

On considère une particule qui se déplace sur {0....a}, (où a est un élément absorbant), et qui saute à droite avec probabilité p et à gauche avec probabilité q. On étudie la convergence à l'équilibre de cette marche aléatoire dans un régime asymptotique, (lorsque a tend vers l'infini), suivant que p > q , ou p < q. Dans le premier cas, on observe le phénomène de cutoff, et dans le second, la marche a un comportement métastable.

Francesco CARAVENNA (Milano Bicocca et Paris 7)

Un théorème limite local pour des marches sous la contrainte d'être positives.

Giambattista GIACOMIN (Paris)

Copolymères et milieux sélectifs.

Nicolas PETRELIS (Rouen)

Copolymère et modèle d'accrochage.

Fabio TONINELLI (Zürich)

The Kac limit for finite-range spin glasses.

I consider a finite range spin glass model in arbitrary dimension, where the strength of the two-body coupling decays to zero over some distance 1/gamma. I will prove that, under mild assumptions on the interaction potential, the infinite-volume free energy of the system converges to that of the Sherrington-Kirkpatrick model, in the Kac limit gamma->0. A similar result holds for the distribution of local observables. These results can be seen as a first step toward a rigorous expansion around mean field theory, for spin glass systems. Work done in collaboration with F. Guerra and S. Franz.

Lorenzo ZAMBOTTI (Italie)

Scaling limits of equilibrium wetting models in (1+1)-dimension.

We study the path properties for the $\delta$--pinning wetting model in $(1+1)$--dimension, i.e. a random walk model with continuousincrements conditioned to stay in the upper half plane and with a $\delta$--measure reward for touching zero. It is well known that such a model displays a localization/delocalization transition, according to the size of the reward. Our focus is on getting a precise pathwise description of the system, in both the delocalized phase, that includes the critical case, and in the localized one.From this we extract the (Brownian) scaling limits of the model.