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Organizing Committee
Duke University
Ohio State University
Duke University
Smith College
University of Chicago
Abstract
This workshop will explore topological properties of random and quasi-random phenomena in physical systems, stochastic simulations/processes, as well as optimization algorithms. Practitioners in these fields have written a great deal of simulation code to help understand the configurations and scaling limits of both the physically observed and computational phenomena. However, mathematically rigorous theories to support the simulation results and to explain their limiting behavior are still in their infancy.
Randomness is inherent to models of the physical, biological, and social world. Random topology models are important in a variety of complicated models including quantum gravity and black holes, filaments of dark matter in astronomy, spatial statistics, and morphological models of shapes, as well as models appearing in social media. The probabilistic method, theory of point processes, and ideas from stochastic and integral geometry have been central tools for proofs and efficient algorithms to measure topological quantities, such as Betti numbers of random geometric complexes.
The workshop topics include: random simplicial complexes, topological invariants in Gaussian random fields, and topological aspects of phase transitions, and geometry and topology of hard disks. A major theme of this workshop will center around computational issues and numerical experiments based on existing models and implementations.
Randomness is inherent to models of the physical, biological, and social world. Random topology models are important in a variety of complicated models including quantum gravity and black holes, filaments of dark matter in astronomy, spatial statistics, and morphological models of shapes, as well as models appearing in social media. The probabilistic method, theory of point processes, and ideas from stochastic and integral geometry have been central tools for proofs and efficient algorithms to measure topological quantities, such as Betti numbers of random geometric complexes.
The workshop topics include: random simplicial complexes, topological invariants in Gaussian random fields, and topological aspects of phase transitions, and geometry and topology of hard disks. A major theme of this workshop will center around computational issues and numerical experiments based on existing models and implementations.
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Lecture Videos
Richard Kenyon
Brown University
October 17, 2016 • 12:00 AM
Michael Farber
Queen Mary, University of London
October 18, 2016 • 12:00 AM
Sergei Chmutov
Ohio State University
October 19, 2016 • 12:00 AM
Yoav Kallus
Sante Fe Institute
October 17, 2016 • 12:00 AM
Elliot Paquette
Weizmann Institute
October 18, 2016 • 12:00 AM
Salvatore Torquato
Princeton University
October 19, 2016 • 12:00 AM
Omer Bobrowski
Duke University
October 19, 2016 • 12:00 AM
Vanessa Robins
The Australian National University
October 19, 2016 • 12:00 AM
Antonio Lerario
SISSA (International School for Advanced Studies)
October 20, 2016 • 12:00 AM
Erik Lundberg
Florida Atlantic University
October 21, 2016 • 12:00 AM
Yasu Hiraoka
Tohoku Univeristy
October 18, 2016 • 12:00 AM
Nataša Jonoska
University of South Florida
October 20, 2016 • 12:00 AM
