Scientific Committee
Comité scientifique
Christoph Aistleitner (Graz University of Technology)
Ujué Etayo (CUNEF University)
Arno Kuijlaars (KU Leuven)
Mylène Maîda (Université de Lille)
Danylo Radchenko (CNRS, Université de Lille)
Organizing Committee
Comité d’organisation
Dmitriy Bilyk (University of Minnesota)
Djalil Chafaï (ENS PSL)
Peter Grabner (Graz University of Technology)
Sylvia Serfaty ( Sorbonne Université, New York University)
The main aim of the proposed conference is to bring together researchers dealing with large point configurations from different points of view. The two main aspects are statistical physics and potential theory. Statistical mechanics studies large, potentially infinite, particle systems as models for ideal gases and gives an insight to the subject from a physics perspective.
Potential theory also has its starting point in physics for the purpose of modelling charge distributions by minimizing energy functionals. By a limiting process, making the underlying potential increasingly repulsive, this turns into the question of best packing.
The communities studying such questions have worked independently and developed different languages over time. Only recently conferences and workshops started to bring those groups together and give them more opportunity to interact. The proposed conference is one further effort to increase this interaction. One major aspect is a sequence of introductory lectures that shall provide participants with the necessary knowledge on both fields. We also included young researchers to give them the opportunity to get acquainted with both points of view on point configurations.
Le principal objectif de la conférence est de rassembler des chercheuses et chercheurs qui s’intéressent, sous différents angles, à des configurations de points de grande taille. Les deux sujets principaux sont la physique statistique et la théorie du potentiel. La mécanique statistique étudie des systèmes aléatoires avec un grand nombre (éventuellement infini) de particules, comme modèles de gaz idéaux et aborde donc le sujet du point de vue de la physique.
La théorie du potentiel trouve également son origine en physique et a pour but de modéliser des distributions de charges en minimisant des fonctionnelles d’énergie. Lorsqu’on considère un potentiel sous jacent de plus en plus répulsif, le problème devient à la limite une question d’empilement optimal.
Les communautés qui étudient de telles questions ont longtemps travaillé de manière indépendante et ont développé au fil du temps un vocabulaire mathématique diffèrent. Ce n’est que depuis peu que des conférences et des workshops commencent à rassembler ces différents groupes et à leur offrir davantage d’occasions d’interagir. La conférence proposée est un effort pour favoriser de telles interactions. Un des piliers de ce programme est une série de présentations introductives qui fourniront aux participantes et participants les connaissances n´nécessaires dans les deux domaines. Nous avons en particulier invité de nombreux jeunes chercheuses et chercheurs afin de leur donner l’occasion de se familiariser avec ces deux points de vue sur les configurations de points.
INTRODUCTORY LECTURES
Thomas Leblé (CNRS, Université Paris-Cité) Analysis and Statistical Physics
Manon Michel (CNRS, Université Clermont – Auvergne) Computational Statistical Physics
Danylo Radchenko (CNRS, Université de Lille) Packing and Covering
Edward Saff (Vanderbilt University) Potential Theory
TALKS
Gernot Akemann (Bielefeld University) Three universality classes of non-Hermitian random matrices
Diego Armentano (University of the Republic ) From Shub-Smale polynomials to the spherical ensemble: logarithmic energy in random matrices
Rémi Bardenet (CNRS, Université de Lille) Monte Carlo integration with repulsive Gibbs measure
Kathryn Beck (Tufts University) Frames for Signal Processing on Cayley Graphs
Robert Beinert (TU Berlin) Wasserstein Gradient Flows of Maximum Mean Discrepancies with Riesz Kernels
Laurent Bétermin (Université Lyon 1) On crystallization in the plane for pair potentials with an arbitrary norm
Sergiy Borodachov (Towson University) Interplay between properties of universal extrema of a spherical code and its design strength
Lucas Bourgoin (Université de Strasbourg) Free energy of Coulomb gas on compact Riemann surfaces
Sung-Soo Byun (Seoul National University) Equilibrium Measures for Higher-Dimensional Rotationally Symmetric Riesz Gases
Louis Carillo (Cermics) Entropic metastability in the narrow escape problem
Sylvain Chabredier (Université Paris-Cité) Microscopic behavior of the zeroes of Kac polynomials and of a 1+1 dimensional Coulomb gas
Thomas Chouteau (University of São Paulo) Deformations of OP Ensembles and Finite Temperature Sine Kernel
David De Laat (TU Delft) Optimality and uniqueness of the D_4 root system
Rafaël Digneaux (Université de Lille) Rigidity of Gibbs point processes with long-range interaction
Peter Dragnev (Purdue University Fort Wayne) Polar dual pairs of spherical codes mutually minimizing their discrete potentials
Pavel Dubovski (Stevens Institute of Technology) Asymptotics in the kinetics of coagulation: free energy approach
Damir Ferizović (KU Leuven) On the support of minimizing measures of non-positive definite potentials
Daniela Flimmel (Charles University) Wang-type decorated lattice
Alice Guionnet (CNRS, ENS Lyon) Random tilings and Beta ensembles
Antti Haimi (Åbo Akademi University) PhaseJumps: fast computation of zeros from planar grid samples
Doug Hardin (Vanderbilt University) Universal optimality of 8 points on the A2 lattice
Antonia Höfert (University of Paderborn) Zeros of Polynomial Powers under the heat flow
Martin Huesmann (University of Münster) Optimal transport for stationary point processes
Amari Jaconelli (University of Bristol) On Fredholm Pfaffians and Riemann-Hilbert problems
Mario Kieburg (University of Melbourne) Statistics of the Winding Number of Random Matrix Fields: From Gaussians to Polya Ensembles
Gaultier Lambert (KTH Stockholm) Mesoscopic CLT for beta-ensembles at intermediary temperature
Alex Little (ENS de Lyon) Large deviations of the periodic Toda chain
Maryna Manskova (Graz University of Technology) Pair correlation statistics for determinantal point processes on the sphere
Felipe Marceca (University College London) Sampling properties of zeros of Gaussian entire functions
Jorge Marzo (University of Barcelona) Improved Lower Estimates for the Linear Coefficient in the Logarithmic Energy Asymptotics on the Sphere
Ryan Matzke (Case Western Reserve University) Greedily Generated Energy Minimizers
Nicolas Nagel (RICAM, Linz) Precise asymptotics for Fibonacci lattices
Kasso Okoudjou (Tufts University) Abelian and Dihedral equiangular tight frames of redundancy 2
David Padilla-Garza (Hebrew University of Jerusalem) Poisson Statistics for Coulomb Gases at Intermediate Temperature Regimes
Luke Peilen (Temple University) A CLT for Riesz Gases
Valentin Pesce (École Polytechnique Palaiseau) The flow of polynomial roots under differentiation, an approach with the theory of viscosity solutions
Vladimir Petrovic (CRIStAL) Repulsive point processes for computational optimal transport
Anas Rahman (The University of Hong Kong) Edge density expansions for the classical Gaussian and Laguerre ensembles
Ian Ruohoniemi (University of Minnesota) Optimality of Lattice Configurations under Tensor Energies on the Torus
Gregory Schehr (CNRS, Sorbonne Université) Edge Effects and Microscopic Scales in Linear Statistics of Coulomb Gases
Mathias Sonnleitner (University of Münster & University of Bielefeld) Next-order asymptotics for the volume of Schatten balls
Hanna Stange (University of Münster) Non-Local Transport Distances for Point Processes
Stefan Steinerberger (University of Washington, Seattle) Greedy Wasserstein Sequences
Benedek Valko (University of Wisconsin – Madison) Pair correlation function of the Sine-beta process
Cheng-Jui Yeh (University of Minnesota) University of Minnesota
SPONSOR