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Organizing Committee
Technische Universität Graz
Vanderbilt University
KU Leuven
New York University
Abstract
This workshop will focus on probabilistic and physical aspects of systems of interacting points: their statistical mechanics, phase transitions, and ground states. Such systems include random point processes arising in probability and statistical physics, such as random matrices, determinantal processes, zeros of random polynomials, disordered ground states, and hyperuniform systems as well as configurations satisfying a geometric or analytic optimality constraint. Special cases also involve disordered and ordered sphere packings and covering problems.
While systems of interacting particles, their free energy and crystallization properties have been studied for a long time in the statistical physics community, there has also been much activity recently, both in the random matrix community and probability communities and in the complex analysis community to understand the microscopic laws of eigenvalues of random matrices and points in beta-ensembles, as well as understanding and quantifying the rigidity of related random point processes and obtaining explicit formulas for correlation functions. Large point sets with quantifiable distribution properties have long played an important role also in approximation, numerical integration, and coding theory. All these communities are seldom mixing, while these topics also link with globally and locally optimal point configurations that arise in approximation theory, including their crystallization properties. A central objective would thus be to connect the probability, statistical physics, mathematical physics and approximation theory communities.
While systems of interacting particles, their free energy and crystallization properties have been studied for a long time in the statistical physics community, there has also been much activity recently, both in the random matrix community and probability communities and in the complex analysis community to understand the microscopic laws of eigenvalues of random matrices and points in beta-ensembles, as well as understanding and quantifying the rigidity of related random point processes and obtaining explicit formulas for correlation functions. Large point sets with quantifiable distribution properties have long played an important role also in approximation, numerical integration, and coding theory. All these communities are seldom mixing, while these topics also link with globally and locally optimal point configurations that arise in approximation theory, including their crystallization properties. A central objective would thus be to connect the probability, statistical physics, mathematical physics and approximation theory communities.
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Workshop Schedule
Monday, February 26, 2018
8:30 - 8:55 AM EST
Registration
Location: 121 South Main Street Providence RI 11th Floor Collaborative Space
8:55 - 9:00 AM EST
Welcome - ICERM Director
Location: 11th Floor Lecture Hall
10:00 - 10:30 AM EST
Coffee/Tea Break
Location: 11th Floor Collaborative Space
12:30 - 2:30 PM EST
Break for Lunch / Free Time
3:30 - 4:00 PM EST
Coffee/Tea Break
Location: 11th Floor Collaborative Space
5:00 - 6:30 PM EST
Welcome Reception
Location: 11th Floor Collaborative Space
Tuesday, February 27, 2018
Lecture Videos
Mylene Maida
Université des Sciences et Technologies de Lille
February 26, 2018 • 12:00 AM
Ioana Dumitriu
University of Washington
February 27, 2018 • 12:00 AM
Norman Levenberg
University of Indiana
February 27, 2018 • 12:00 AM
Thomas Leble
Courant Institute of Mathematical Sciences
February 26, 2018 • 12:00 AM
Simona Rota Nodari
Université de Bourgogne
February 26, 2018 • 12:00 AM
Djalil Chafai
Universite Paris-Dauphine
February 26, 2018 • 12:00 AM
Laurent Bétermin
University of Copenhagen
February 28, 2018 • 12:00 AM
Irina Nenciu
University of Illinois
February 28, 2018 • 12:00 AM
Subhroshekhar Ghosh
National University of Singapore
March 1, 2018 • 12:00 AM
Mircea Petrache
Pontificia Universidad Catolica de Chile
March 1, 2018 • 12:00 AM
Benedek Valko
University of Wisconsin - Madison
March 1, 2018 • 12:00 AM
Carlos Beltran
Universidad de Cantabria (Spain)
March 2, 2018 • 12:00 AM
Peter Dragnev
Purdue University Fort Wayne
March 2, 2018 • 12:00 AM
Dmitriy Bilyk
University of Minnesota
February 27, 2018 • 12:00 AM
Johann Brauchart
Technische Universität Graz
March 2, 2018 • 12:00 AM
