Mathematical Physics Seminar
(université de
Genève)
The seminar usually takes place on mondays at 16:15 in room 17
Future talks
Lundi 04 mars 2013: pas de séminaire.
Lundi 11 mars 2013: Gaetan Borot
(Université de Genève) All order asymptotics of beta
ensembles in the multi-cut regime
The beta ensemble is a statistical-mechanical model of N particles
x_i on the real line, subjected to pairwise Coulomb repulsion, and
trapped in an external potential. In particular cases, this model
describes the distribution of eigenvalues of random matrices. Old
results from potential theory implies under weak assumptions that
the random distribution of x_i converges almost surely and in
expectation towards a deterministic distribution, supported on a
collection of (g + 1)-segments. The fluctuations around this
distribution depend much on the topology of the support, i.e. the
number g. When g = 1 (the one-cut regime), Johansson established in
1998 that the linear statistics h(x_1) + ... + h(x_N) satisfy a
central limit theorem for smooth test functions h, and the partition
function and expectation values of multilinear statistics are
expected to have a 1/N expansion. When g > 1, this is not anymore
true in general, the partition function and multilinear statistics
should feature a pseudo-periodic behavior in N at all orders in a
1/N expansion. This was predicted by Bonnet, David, Eynard in 2000
at leading order, and refined by Eynard in 2007.
I will present a joint work with Alice Guionnet, where we justify
rigorously those heuristics, and establish all-order expansions in
beta ensembles for real-analytic potentials are away from critical
points. Since random matrices are related to integrable systems and
orthogonal polynomials, this allows us to establish all-order
asymptotic expansion of certain solutions of the Toda chain in the
continuum limit and multi-cut regime, and orthogonal polynomials and
skew-orthogonal polynomials away from the bulk. The methods are
purely probabilistic and provide an alternative to Riemann-Hilbert
techniques, with some advantages and inconvenients I will try to
explain.
Lundi 18 mars 2013 Sacha Glazman (Université de Genève) TBA
Lundi 25 mars 2013: Juan Rivera-Letelier (Pontificia Universidad Catolica de Chile) Low-temperature phase transitions in the quadratic family
We give the first example of a quadratic map having a phase transition after the first zero of the geometric pressure function. This implies that several dimension spectra and large deviation rate functions associated to this map are not (expected to be) real analytic, in contrast to the uniformly hyperbolic case. The quadratic map we study has a non-recurrent critical point, so it is non-uniformly hyperbolic in a strong sense. This is a joint work with Daniel Coronel.
Lundi 1er avril 2013 vacances de Paques.
Lundi 8 avril 2013 TBA.
Lundi 15 avril 2013 TBA.
Lundi 22 avril 2013 TBA.
Lundi 29 avril 2013 TBA.
Lundi 6 mai 2013: Omer Angel (UBC)
Lundi 13 mai 2013: Laure Dumas (ENS ulm)
Past talks
Mercredi 20 février 2013: Piotr Milos (Warsaw) Delocalisation of the two-dimensional Lipschitz model
Lundi 17 décembre 2012: Thierry Levy (Paris upcm) The master field on the plane
Lundi 10 décembre 2012: Anthony Mays (Melbourne) A geometrical triumvirate of (non-Hermitian) random matrices
Jeudi 29 novembre 2012: Jason Miller (MIT) Reversibility of SLE for kappa in (4,8)
Lundi 26 novembre 2012: Laurent Tournier (Université Paris XIII) Directional transience of oriented-edge reinforced random walks on Z^d
Jeudi 22 novembre 2012: Hao Wu (Orsay) Conformally Invariant Growing Mechanism in CLE_4 and Couplings between GFF and CLE_4
Lundi 19 novembre 2012: Alex Fribergh (Toulouse) On the monotonicity of the speed of biaised random walk on a Galton-Watson tree without leaves
Mardi 13 novembre 2012: Nathanael Berestycki (Cambridge) A new approach to the Brownian web
Lundi 5 novembre 2012: Yair Hartman (Weizmann Institute) Random walks on groups and recurrent subgroups
Lundi 29 octobre 2012: Pierre-François Rodriguez (ETH) On the level-set percolation for the Gaussian free field
Lundi 22 octobre 2012: Journée de probabilité Lyon-Genève (voir page web)
Lundi 15 octobre 2012: Béatrice de Tillière (UPMC) Loops in the XOR Ising model
Lundi 8 octobre 2012: Christophe Sabot (Université Lyon 1) Edge reinforced random walks, Vertex reinforced jump process, and the SuSy hyperbolic sigma model.
Lundi 1er octobre 2012: Amandine Veber (École Polytechnique) Evolution of the interface between types in a spatially extended population
Lundi 24 septembre 2012: Igor Kortchemski (Orsay) Random trees conditioned to be large
Lundi 17 septembre 2012: Gordon Slade (UBC) Growth constants for lattice trees and lattice animals in high dimensions
Mardi 22 mai 2012: Alain-Sol Sznitman (ETH) On Gaussian free fields and random interlacements
Lundi 14 mai 2012: Rémi Peyre (Nancy) McKean–Vlasov Metastability
Lundi 7 mai 2012: Pietro Caputo (Roma Tre) On the spectrum of random Markov matrices
Mercredi 02 mai 2012: Serge Richard (Université de Lyon) Théorèmes d'indice en théorie de la diffusion
Jeudi 26 avril 2012: Remco van Der Hofstad (Eindhoven University of technology) The survival probability and r-point functions in high dimensions
Mercredi 25 avril 2012: Ron Peled (Tel Aviv University) Probabilistic existence of rigid combinatorial structures
Lundi 23 avril 2012: Nicolas Curien (ENS Ulm) relation between the intersection property and reccurence
Lundi 16 avril 2012: Emanuel Millman (Technion) Transference Principles for Log-Sobolev and Spectral-Gap Inequalities with Applications to Conservative Spin Systems
Lundi 2 avril 2012: Pierre Nolin (ETH) A modified frozen percolation process on the binary tree and on the square lattice
Lundi 19 mars 2012: Raphael Cerf (Orsay) Nucleation and growth for the Ising model in d dimensions at very low temperatures
Lundi 12 mars 2012: Marc Wouts (Paris XIII) Glauber dynamics for the quantum Ising model on a tree
Mercredi 7 mars 2012: Cyrille Lucas (Paris X) Internal Diffusion Limited Aggregation, from the centered to the drifted case
Mardi 21 fevrier 2012: Ross Pinsky (Technion) Probabilistic and Combinatorial Aspects of the Card-Cyclic to Random Insertion Shuffle
Lundi 20 fevrier 2012: Martin Hairer (Warwick) Solving the KPZ equation
Mardi 06 décembre 2011: Vladislav Vysotsky Persistence of integrated random walks
Vendredi 09 décembre 2011: Laszlo Erdos (Munich) The local version of Wigner's semicircle law and Dyson's Brownian motion
Lundi 12 décembre 2011: Gady Kozma (Weizman institute) Harmonic maps on Cayley graphs
Mardi 13 décembre 2011: Vladas Sidoravicius (IMPA) Stability of the waiter
Lundi 19 décembre 2011: Kosta Izyourov (Université de Genève) soutenance de thèse
Mardi 20 décembre 2011: Ilya Gruzberg (University of Chicago) Quantum Hall transitions and conformal restriction
Lundi 05 décembre 2011: Ioan Manulescu (Cambridge) Bond Percolation on Isoradial Graphs
Lundi 28 novembre 2011: Thierry Bodineau (ENS Paris) Transition de phases pour des dynamiques avec contraintes
Mardi 22 novembre 2011: Mireille Bousquet-Mélou (university Bordeaux 1) The Potts model on planar maps
Mercredi 16 novembre 2011: Nicolas Monod (EPFL) Littlewood and large forests
Lundi 14 novembre 2011: Damien Simon (UPCM) Some recent algebraic and probabilistic results on the asymmetric exclusion process with reservoirs
Vendredi 11 novembre 2011: Wendelin Werner (Orsay) Describing surface fluctuations
Jeudi 3 novembre 2011: Michael Monastyrsky (ITEP and EPFL) Kramers-Wannier Duality, Old and New Results
Lundi 31 octobre 2011: Paul Fendley (University of Virginia) Discrete Holomorphicity from Topology.
Lundi 24 octobre 2011: Adrien Joseph (ENS Cachan) The component sizes of a critical random graph.
Lundi 17 octobre 2011: Fabio Martinelli (University Roma tre) Sharp mixing time bounds for sampling random surfaces.
Jeudi 13 octobre 2011: Gregory Falkovich (Weizman) Broken and emerging symmetries of the turbulent state.
Lundi 10 octobre 2011: Jérémie Bouttier (Institut de Physique Théorique) Des boucles sur les cartes aléatoires.
Vendredi 07 septembre 2011: Itai Benjamini (Weizman institute) Some comments on properties of Cayley graphs.
Lundi 03 octobre 2011: Jean-François Le Gall (University Paris Sud) Universality of the Brownian map.
Lundi 26 septembre 2011: Artem Sapozhnikov (ETH) Connectivity properties of random interlacements.
Lundi 19 septembre 2011: Fabio Toninelli (ENS Lyon) Zero-temperature Glauber dynamics for the 3D Ising model.
Lundi 12 septembre 2011: Ariel Yadin (Ben Gurion University) Harmonic growth on groups and stationary random graphs.
Mardi 06 septembre 2011: Christophe Garban (ENS Lyon) Magnetization field at criticality in the Ising model.
Vendredi 11 février 2011: Nicolas Curien (Ecole normal supérieure) A view from infinity of the uniform infinite planar quadrangulation.
Lundi 22 novembre 2010: Kostantin Izyurov (Université de Genève) Holomorphic spinor observables in the Ising model.
Mercredi 17 novembre 2010: Vladas Sidoravicius (IMPA) Abundance of maximal paths.
Lundi 15 novembre 2010: Sacha Friedli (Universidade Federal de Minas Gerais) Singularités essentielles des potentiels thermodynamiques.
Lundi 08 novembre 2010: Hubert Lacoin (Universita di Roma tre) Polymères dirigés en milieu aléatoire: diffusivité ou localisation.
Lundi 25 octobre 2010: David Cimasoni (Université de Genève) La formule de Kac-Ward généralisée.
Mardi 19 octobre 2010: Jan De Gier (University of Melbourne) Exact finite size percolation operator between boundaries of a lattice strip.
Mardi 04 octobre 2010: Hugo Duminil-Copin (UNIGE) Self-avoiding walks on the hexagonal lattice.
Mercredi 2 juin 2010: Eldad Bettelheim (Hebrew University of Jerusalem) Tau functions and differential equations for the real time evolution of free fermions.
Mercredi 2 juin 2010: Christian Hagendorf (University of Virginia) The Gaussian free field and SLE(4) on doubly connected domains.
Jeudi 10 juin 2010: Vladimir Mangazeev (ANU, Canberra) Quantum geometry of 3D lattices.
Lundi 14 juin 2010: Ilya Gruzberg Stochastic Loewner chains for DLA-like growth (an informal talk).
Mercredi 19 mai 2010: Jason Miller (Stanford) Universality for SLE(4).
Lundi 17 mai 2010: Nikolai Makarov (Caltech) Radial explorer and its two conformally invariant theories.
Vendredi 14 mai 2010: Hugo Duminil-Copin (UNIGE) Groupe de travail sur RSW.
Lundi 10 mai 2010: Rinat Kashaev (UNIGE) Informal seminar about the colored Jones polynomial.
Vendredi 8 mai 2010: Yacine Ikhlef (UNIGE) Groupe de travail sur le modèle O(n).
Lundi 19 avril 2010: Nicholas Varopoulos (Unige) Green's function on quasidisks.
Lundi 12 avril 2010 : Ilia Binder (Toronto) Efficient computation of harmonic measure and boundary geometry.
Mercredi 24 mars 2010 : Benjamin Doyon (King's College London) Calculus on infinite-dimensional manifolds, conformal field theory, and its probabilistic descriptions.
Lundi 22 mars 2010 : Nicolas Curien (ENS) Recursive triangulations and fragmentation theory.
Lundi 15 mars 2010 : Pierre Nolin (Courant Institute) Monochromatic arm exponents for 2D percolation.
Mercredi 3 mars 2010 : Gregory Miermont (Université Paris-Sud) Scaling limits of random planar maps with large faces.
Jeudi 4 février 2010 : Nicholas Varopoulos Random walks in complex domains.
Lundi 14 décembre 2009 : Rémi Peyre (ENS Lyon) Variables aléatoires partiellement indépendantes : une approche hilbertienne.
Vendredi 11 décembre 2009: Anton Alekseev (UNIGE) Séminaire informel sur WZW, KZ et SLE.
Lundi 7 décembre 200 : Bernard Nienhuis Critical percolation and qKZ equations.
Mercredi 18 novembre 2009 : Kari Astala (Helsinki) Informal seminar on random weldings and quasiconformal maps.
Lundi 16 novembre 2009: Antti Kupiainen (Helsinki) Random Weldings.
Jeudi 12 novembre 2009 : Phillipe Di Francesco (CEA Saclay) Integrable Combinatorics
Vendredis 27 novembre et 4 décembre 2009 : Dmitry Beliaev (UNIGE) On a theorem of Tsirelson.
Lundi 30 novembre 2009 : Alain-Sol Sznitman (ETHZ) Disconnection of discrete cylinders and random interlacements.
Mercredi 11 novembre 2009 : Thierry Lévy (UNIGE) Mesure et action de Yang-Mills en deux dimensions (séminaire Groupes de Lie et espaces de modules).
Lundi 28 septembre 2009 : Christophe Garban (ENS Lyon) Near-critical and dynamical percolation scaling limits.
Lundi 21 septembre 2009 : Vincent Beffara (ENS Lyon) Slow progress on the slow bond problem.
Lundi 18 mai 2009 : Antti Kemppainen (Helsinki) Describing scaling limits of random planar curves by SLEs.
Lundi 28 avril 2009 : Jürgen Angst (Strasbourg) Mouvement brownien dans le cadre de la théorie de la relativité.
Lundi 6 avril 2009 : Nicolas Orantin (CERN) Énumération de cartes et matrices aléatoires.
Lundi 30 mars 2009 : Adam Timar (Bonn) Equivariant colorings of random planar graphs.
Mardi 24 mars 2009 : Christian Mercat (Montpellier) Surfaces de Riemann discrètes et modèle d'Ising.
Lundi 9 mars 2009 : Nicolas Monod (EPFL) Littlewood and Large Forests.
Vendredi 6 mars 2009 : Bernard Sapoval (École polytechnique et ENS Cachan) Physical problems related to gradient and extreme gradient percolation.
Lundi 15 décembre 2008 : Béatrice de Tilière (UNINE).
Lundi 24 novembre 2008 : Sacha Friedli (Belo Horizonte) Chaînes à longue portée et le mécanisme de Bramson-Kalikow.
Lundi 17 novembre 2008 : Istvan Prause Harmonic measure and quasiconformal mappings.
Lundi 10 novembre 2008 : Yacine Ikhlef Observables holomorphes sur réseau et modèles de boucles intégrables.
Lundi 3 novembre 2008 : David Ridout (DESY theory group, Hamburg) Critical Percolation as a CFT (with a view to SLE).
Jeudi 30 octobre 2008 : Viviane Baladi (ENS Paris) Espaces de Banach adaptés aux dynamiques hyperboliques avec singularités et aux billards.
Lundi 20 octobre 2008 : Cédric Boutillier (Université Paris VI et UniNE) Scaling limits for random skew plane partitions with a piecewise periodic back wall.
Jeudi 16 octobre 2008 : David Cimasoni (ETHZ) The dimer model, discrete spin structures and discrete d-bar operators.
Lundi 6 octobre 2008 : Olivier Bernardi (Université Paris-Sud) Comptage des cartes coloriées.
Lundi 29 septembre 2008 : Bertrand Eynard (SPhT, CEA - Saclay) Plancherel measure on partitions, matrix models and Gromov-Witten theory.
Lundi 22 septembre 2008 : Gregory Miermont (Université Paris-Sud et ENS Paris) Propriétés géométriques des grandes cartes aléatoires.
Directions
From the train station. There is only one station in Genève, called Gare Cornavin. Exit the station by the main entrance and go to the tramway station in front of you. Take tramway number 15 in the direction Palette.- If you go to the department: Exit in stop Accacias and cross the street. Carry on walking in the same direction as the tram for 50 meters. The first street on your left is rue du Lièvre. The department is at 2-4 rue du Lièvre, on the second floor (the building doesn't look like a university building, don't be afraid). Purple itinerary on the map below.
- If you go to the hotel directly: You will usually be in Hotel Carmen. Exit in stop Unimail and cross the street at the light. You are at the intersection between boulevard du pont d'Arve and rue Dancet. The hotel is at 5, rue Dancet (phone number +41 223 991 111). Green itinerary on the map below.
From the airport. When picking your checked baggage, there is an automatic machine giving a free ticket for public transportation in Genève which will be valid for your whole trip to the department. Take the train direction Genève (they all stop at your stop). Stop at Gare Cornavin (first stop) and follow the instructions above.
From the hotel to the department. Black itinerary on the map below. Hotel Carmen is at walking distance from the department (5-10 minutes). Walk to the tram station Unimail and walk on boulevard du pont d'Arve following the tramway line in the direction Palette until the next stop, called Accacias. The trip is 200-300 meters and you should cross a bridge. Carry on walking in the same direction for 50 meters. The first street on your left is rue du Lièvre. The department is at 2-4 rue du Lièvre, on the second and sixth floors (the building doesn't look like a university building, don't be afraid).
If you have any question, you can reach me at 0041223791169
