IRMA, UMR 7501 
7 rue RenéDescartes 
67084 Strasbourg Cedex 
Tél. 33 (0)3 68 85 01 29 
Fax. 33 (0)3 68 85 03 28 
Accueil du site > Agenda > Colloques et rencontres > Archives > Agenda 2013 > 91e rencontre entre mathématiciens et physiciens théoriciens : Systèmes dynamiques et physique statistique
IRMA, 30 mai  1er juin 2013
La 91ème rencontre entre mathématiciens et physiciens théoriciens aura pour thème : Systèmes dynamiques et physique statistique.
The 91th Encounter between Mathematicians and Theoretical Physicists will take place at Institut de Recherche Mathématique Avancée (University of Strasbourg and CNRS) on May 30  June 1st, 2013. The theme will be : "Dynamical systems and statistical physics".
Organizers : Charles Boubel and Athanase Papadopoulos
The invited speakers include :
Viviane Baladi (Copenhagen)
JeanRené Chazottes (Ecole Polytechnique)
Shrikrishna G. Dani (Bombay)
Bertrand Eynard (CEA)
Vladimir Fock (Strasbourg)
Giovanni Gallavotti (Rome)
François Ledrappier (Paris)
Rémi Monasson (ENS Paris)
Samuel Petite (Amiens)
Hans Rugh (Orsay)
Klaus Schmidt (Vienna)
Maher Younan (Genève)
The talks will be in English. Some of the talks will be survey talks intended for a general audience.
Graduate students and young mathematicians are welcome. Registration is required (and free of charge) at this link. Hotel booking can be asked for through the registration link.
For practical and other questions please contact the organizers :
Charles Boubel : charles.boubel@unistra.fr
Athanase Papadopoulos : athanase.papadopoulos@math.unistra.fr


09h00 
HansHenrik Rugh  Université Paris 11  OrsayGeometry and thermodynamics in the microcanonical ensembleThe talk should be accessible to all people with a rudimentary knowledge of differential geometry. Classical equilibrium statistical mechanics deals with the average behavior of a, typically large, Hamiltonian dynamical system. Differential calculus provides a mathematical tool to model this behavior in the socalled microcanonical ensemble, and may be used to construct thermodynamic quantities like temperature and pressure. We show how such quantities may be observed numerically within the dynamical system itself under the ergodic hypothesis and without resorting to an axiomatic theory of thermodynamics. We also discuss more recent developments on nonequilibrium statistical mechanics where results at present are sparse and incomplete. 


10h00 
Giovanni Gallavotti  Universita' di Roma La SapienzaPerturbation theory for a "simple" non equilibrium statePerturbative construction of the nonequilibrium steady state of a pendulum subject to torque, friction and under a stochastic forcing. 


11h00 
Coffea break 


11h30 
François Ledrappier  University of Notre DameOne application of dynamics and thermodynamical formalism to geometryWe consider the universal cover of a closed manifold with negative curvature. We are interested in the behaviour of the heat kernel as the time goes to infinity. In this talk, we show some estimates provided by the dynamics of the geodesic flow. This is part of a joint work in progress with Seonhee Lim. 


14h00 
Klaus Schmidt  Universität WienAlgebraic Z^dactions and their homoclinic pointsAlgebraic $Z^d$actions are actions of $Z^d$ by automorphisms of compact abelian groups. If $\alpha : n \to \alpha ^n$ is such a $Z^d$action on a compact abelian group $X$ then a point $x\in X$ is homoclinic if $\lim_{\n\\to\infty }\alpha ^n(x) = 0$. This talk will be devoted to the question of existence of nonzero homoclinic points and to the dynamical consequences of existence or nonexistence of such points. 


15h00 
Coffea break 


15h30 
Rémi Monasson  École Polytechnique and École Normale Supérieure, ParisInterferences and transitions between spatial charts in a neuronal model of hippocampusA great part of this talk is designed for a broad audience.
(joint work with S. Rosay, LPTENS, Paris) 


17h00 
Boat trip around the old city of Strasbourg. This trip is offered to the participants by the mayor of Strasbourg. 


19h00 
Dinner offered to the participants at the restaurant "Petit bois vert". The address is : Quai de la Bruche (Petite France region, in the historical center of Strasbourg). 


09h00 
JeanRené Chazottes  École Polytechnique, PalaiseauConcentration inequalities for dynamical systemsA great part of this talk is designed for a broad audience. I will start with a broad introduction intended for a general audience. Then I will specialize to dynamical systems and present some applications of concentration inequalities. Finally, I will sketch how these inequalities can be proven. 


10h00 
Viviane Baladi  Københavns UniversitetOn the WhitneyHolder regularity of the SRB measure in the quadratic familyA great part of this talk is designed for a broad audience.
This is a joint work with M. Benedicks and D. Schnellmann. 


11h00 
Coffea break 


11h30 
Maher Younan  Université de GenèveTopological GlassesI will review the work I did during my graduate studies on the subject of topological glasses, starting with the 2dimensional model, then moving to the generalisation to 3 dimensions. In both cases, the phase space is the set of triangulations of the sphere ($S^2$ or $S^3$), the dynamics are given by the Pachner moves that conserve the number of nodes (T1 in 2d, 23 and 32 in 3d) and the energy is local and a function of the neighbourhood of a node. I will point out some interesting properties of the phase space and I will show that these models exhibit glassy behaviour. 


14h30 
Bertrand Eynard  IPHT, CEA SaclayFrom random matrices to geometry : the topological recursion in mathematical physicsThis talk is intended for nonspecialists, and is suitable for phd students. Computing the large N expansion of the eigenvalue statistics of a random matrix, has been an important question for many years, with applications ranging from quantum gravity to electronics or even finance. Recently was found a recursion relation which allows to compute recursively all terms in the asymptotic expansion of any correlation function. The initial data for the recursion is a Riemann surface embedded in CxC, called spectral curve. Beyond random matrices, this recursion can be applied to any embedded Riemann surface, and generates a sequence of differential forms, called "invariants" of the surface. Those invariants posses fascinating mathematical properties (quasimodular forms, satisfy Hirota equations, special geometry relations,...), and have many applications in physics and mathematics. In particular, many known invariants of enumerative geometry, can be recovered as specializations, for instance GromovWitten invariants of CalabiYau manifolds, or knot polynomials (Jones polynomial). The talk will introduce this recursion, and present some examples of applications. 


15h30 
Coffea break 


16h00 
Shrikrishna G. Dani  Indian Institute of Technology, BombayDynamics of the geodesic flow on the modular surface and applications in number theoryWe discuss various dynamical properties of the geodesic flow associated with the modular surface ,and what they signify in number theory, especially with regard to values of binary quadratic forms. 


17h30 
Reception offered to the participants by the Mayor of Strasbourg. The reception takes place at the City Hall. Address : Place Broglie  We shall all go there a while after the last talk. 


09h00 
Samuel Petite  Université de Picardie  AmiensThe FrenkelKontorova model for almostperiodic environmentsA great part of this talk is designed for a broad audience. The FrenkelKontorova model describes how a chain of atoms minimizes its total energy on interaction with a substrat. We consider in a joint work with E. Garibaldi and P. Thieullen the case where the environment is almost periodic. A minimizing configuration in the Aubry sense may not detect the configurations at the lowest energy. We introduce a stronger notion of calibrated configurations and prove in the case of a one dimensional quasiperiodic environment, (e.g. the Fibonacci case), their existence. The main tool we use is the Mather set, the set of minimizing measures, and the space of tilings. 


10h00 
Coffea break 


10h30 
Vladimir Fock  Université de StrasbourgDimer models and integrable systemsA. B. Goncharov and R. Kenyon defined a class of integrable systems on cluster varieties enumerated by convex polygons on a plane with integral vertices. The generating function for the commuting Hamiltonians is given by a partition function of a dimer model on a bipartite graph. Every such system has a family of commuting continuous flows enumerated by integral points inside the polygons and discrete flows enumerated by integral points on the boundary. We will present our study of their construction and show that their integrable systems coincide with well known ones on affine PoissonLie groups; however we will try to show that construction of Goncharov and Kenyon gives a rather new point of view on integrable systems and admit several generalizations. 
Dernière mise à jour le 13052013