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INHOMOGENEOUS RANDOM SYSTEMS

Syst` emes Al´ eatoires Inhomog` enes

January 26-27, 2016 Amphi Darboux Institut Henri Poincar´e 11, rue Pierre et Marie Curie, Paris

The aim of this annual workshop is to bring together mathematicians and physicists working on disordered or random systems, and to discuss recent developments on themes of common interest. Each of the two days is devoted to a specific topic; the 2016 session is planned as follows.

Tuesday 26 January:

Phase transitions in percolation-type models.

Moderator: Hugo Duminil-Copin (Gen`eve).

Motivated by geometric representations for spin models, mathematicians and physicists have studied generalizations of Bernoulli percolation (e.g. random-cluster models, loop models, random currents, etc).

The understanding of these percolation models remained fairly limited for a long time, due to the lack of independence. Nevertheless, the theory has progressed greatly in the last few years and the topics discussed during this day are intended to cover some of these recent advancements.

Invited speakers: Michael Aizenman (Princeton), Dmitry Chelkak (Z¨urich), Hugo Duminil-Copin (Gen`eve), Christophe Garban (Lyon), Alessandro Giuliani (Roma), Cl´ement Hongler (Lausanne), Ioan Manolescu (Fribourg), Vincent Tassion (Gen`eve).

Wednesday 27 January:

Polymers, interfaces and self-interacting random walks.

Moderator: Dmitry Ioffe (Haifa)

Charged polymers, self-repelling walks, phase boundaries in 2Dlattice models, random walks in random potentials, level lines of 2 + 1 effective interfaces, edge or vertex reinforced walks are examples of polymer- type models of statistical mechanics which: (a) are in general not amenable to exact solutions. (b) require techniques well beyond sub-additivity based arguments. The workshop will be devoted to an exposition of several recent (and rather diverse) ideas and advances along these lines.

Invited speakers: Pietro Caputo (Roma), Margherita Disertori (Bonn), Frank den Hollander (Leiden), Fran¸cois Simenhaus (Paris), Dmitry Ioffe (Haifa), B´alint T´oth (Bristol & Budapest), Atilla Yılmaz (Istanbul).

The conference is free and open to all. To facilitate local organization, please register in advance by sending an e-mail with your name, affiliation and mail address to:

[email protected] subject: IRS 2016 You may also consult the conference web page at:

http://irs.math.cnrs.fr

Hotel reservations and other practical informations are available on request.

Fran¸cois Dunlop Thierry Gobron Ellen Saada

Physique Th´eorique et Mod´elisation Physique Th´eorique et Mod´elisation Math´ematiques Appliqu´ees Universit´e de Cergy-Pontoise Universit´e de Cergy-Pontoise Universit´e Paris Descartes

+33 1 3425 7509 +33 1 3425 7511 +33 1 8394 7658

Partially supported by CNRS, Universit´e de Cergy-Pontoise and Universit´e Paris Descartes.

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