<%@ taglib uri="/wiastags" prefix="wiastags"%> Workshop on Phase Transitions and Particle Systems <%@ include file="/misc/wias-debug.jsp"%>


The workshop will take place at the Weierstrass Institute (WIAS), which is located in a historic building in the center of Berlin.

Address: Mohrenstraße 39, 10117 Berlin, Germany (Subway station Hausvogteiplatz).

Lecture room: ESH (ground floor)



The workshop will last from Monday 24 June in the morning to approximately the mid-afternoon of Wednesday 26 June. Mornings will be devoted to the minicourses, each one composed by three lectures, 90 minutes each.

On the evening of Monday 24 June there will be the poster session and a social event at Weierstrass Institute.

A tentative program can be found here.


Phase transition for Continuum Gibbs particle systems
In this mini-course we give a state of the art of the phase transition phenomenon for continuum interacting particles system. The model is defined in the infinite volume regime via the DLR equations which prescribe the local conditional densities following the Gibbs-Boltzmann formalism. The equilibrium states are also the thermodynamic limit of finite volume volume Gibbs models for any boundary condition. Changing the boundary condition at infinity can change drastically the equilibrium states. We call this phenomenon, phase transition. Two kind of phase transition can appear. The first one, called liquid-gas phase transition, preserves the symmetries of the model (translations, rotations, etc) but the density, the energy or the entropy of particles change abruptly at some values of parameters (in general activity or inverse temperature). The second one, called symmetry breaking phase transition, break some symmetries of the model even though the interaction satisfies these symmetries. Depending on the model, the translation or the rotation invariance is violated. This topic has a long history in Physics and Mathematical-Physics. Several conjectures have been claimed more than fifty years ago and most of them are still open today. Only few results have been proved rigorously due to the lack of tractability of models. Moreover, in the continuum setting, the combinatorial tools, largely used for Gibbs models with bounded spins, is not really efficient here. However, for particular models with well-chosen interactions, it is possible to prove the phase transition phenomena mentioned above. The proofs are rigorous and are based on several tools in Analysis, Probability theory, Geometry. During the mini-course, we will present these results, we will give partially the proofs and we will present also a large collection of conjectures provided beautiful challenges for present and probably future generations.

Scaling Limits of Interacting Particle Systems





Poster session

The poster session will take place on Monday 26 June, during the social event at WIAS Institute.

Abstract for posters can be submitted via email to ptps19@wias-berlin.de .

Deadline for abstract submission: extended to 12th May 2019.



Registration is free but mandatory. Please note that places are limited and participation is possible only upon prior registration using the online-registration form.

Deadline for registration: 12th May 2019.



If you have any questions, please do not hesitate to contact us: ptps19@wias-berlin.de .

Workshop on

Phase Transitions


Particle Systems

24-26 June 2019

Systems with many interacting stochastic particles play a key role in the mathematical modeling of several processes and phenomena in sciences and technology. Such systems may be of different types and, depending on the model, they contain moving or static particles, have interactions with each other or with a surrounding medium, show different behaviour depending on the value of some parameters, etc. Also the mathematical questions that can be posed and answered are quite diverse, for example one can look for links between microscopic and macroscopic descriptions of the same phenomenon, convergence of scaled quantities, emerging spatial structures, properties like percolation, crystallization or condensation, dependencies of the global behaviour on parameters, and more. The aim of the workshop is to give an overview on recent developments on dynamic and static problems involving several interacting components.

The scientific program is composed of two minicourses taught by two world-class experts and eight research talks by distinguished invited speakers. We particularly encourage young academics to present their research during a poster session, which will also be an integral part of the workshop.


Minicourse speakers

  • David Dereudre (Université Lille 1)
    "Gibbs point processes"
  • Kavita Ramanan (Brown University)
    "Scaling Limits of Interacting Particle Systems"

Invited speakers