INHOMOGENEOUS RANDOM SYSTEMS
23-24 January 2018
The aim of this annual workshop, in conjunction with the "Journées de Physique Statistique", is to bring together mathematicians and physicists working on disordered or random systems, and to discuss recent developments on themes of common interest. Each day is devoted to a specific topic:
Tuesday 23 January: Universality and scaling limits of interacting random systems.
Moderator: Milton Jara (Rio de Janeiro)
In recent years, notable progress has been made in the understanding of scaling limits of discrete stochastic systems, like interacting particle systems, percolation models, random surfaces, etc... Beautiful combinatorial structures behind some carefully constructed systems have led to deep understanding of these scaling limits, which raises the question of universality: do these objects describe the large scaling limit of general stochastic systems, for which the combinatorial structure is not present? We will present various recent results that may (or may not) give some insight about the universality problem.
Preliminary list of speakers: Francesco Caravenna (Milano), Dmitry Chelkak (Paris & St. Petersburg), Bertrand Duplantier (Saclay), Massimiliano Gubinelli (Bonn), Benoît Laslier (Paris), Otávio Menezes (Lisboa), Wioletta Ruszel (Delft).
Fick's law states that the current flows in the direction opposite to the gradient of the concentration: this is not necessarily true in binary or multicomponent mixtures and even in one component systems in the presence of a phase transition. This phenomenon is called ``uphill diffusion". Experimental evidence of uphill diffusion and theoretical explanations will be among the main arguments of the workshop. The analysis of phase transitions involves the study of interfaces, their structure and their evolution. This leads to a class of free boundary problems including the classical Stefan problem which also appear in the study of several biological problems. Mathematical derivation of non linear diffusion equations has been developed in the framework of stochastic particles systems but mainly in the absence of phase transition and in one component systems. Perspectives of possible extensions in conjunction with computer simulations are among the topics of the workshop.
Preliminary list of speakers: Cédric Bernardin (Nice), Gioia Carinci (Delft), Bernard Derrida (Paris), Laurent Desvillettes (Paris), Cristian Giardinà (Modena), Rajamani Krishna (Amsterdam), Dimitrios Tsagkarogiannis (Brighton).
or mail to Ellen Saada, Laboratoire MAP5,
Université Paris Descartes,
45 Rue des Saints Pères, 75270 Paris cedex 06.
Hotel reservations and other practical informations are available on request.
|François Dunlop||Ellen Saada|
|Physique Théorique et Modélisation||Mathématiques Appliquées|
|Université de Cergy-Pontoise||Université Paris Descartes|
|(33)1 3425 7509||(33)1 7653 0376|
Program of previous sessions:
2000 - 2001 - 2002 - 2003 - 2004 - 2005 - 2006 - 2007 - 2008 - 2009 - 2010 - 2011 - 2012 - 2013 - 2014 - 2015 - 2016 - 2017