Stochastic Topology and Thermodynamic Limits
(October 17-21, 2016)

Description

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.

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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.

Organizing Committee

  • Matthew Kahle
    (Ohio State University)
  • Sayan Mukherjee
    (Duke University)
  • Shmuel Weinberger
    (University of Chicago)
  • Ileana Streinu
    (Smith College)
  • Patrick Charbonneau
    (Duke University)

= speaker    = poster presenter

Monday October 17, 2016
Time Description Speaker Location Abstracts Slides
9:00 - 9:30Registration11th Floor Collaborative Space
9:30 - 9:35WelcomeICERM Director11th Floor Lecture Hall
9:35 - 10:20A Parisi formula for the ground state energy of the Sherrington-Kirkpatrick modelAntonio Auffinger, Northwestern University11th Floor Lecture Hall
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10:35 - 11:00Coffee/Tea Break11th Floor Collaborative Space
11:00 - 11:45Universality of Jamming in Continuous Constrained SatisfactionSilvio Franz, LPTMS Universite Paris-Saclay11th Floor Lecture Hall
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12:00 - 2:00Break for Lunch / Free Time
2:00 - 2:45Configuration space topology as cause or signature of slow dynamicsYoav Kallus, Santa Fe Institute11th Floor Lecture Hall
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3:00 - 3:15Coffee/Tea Break11th Floor Collaborative Space
3:15 - 4:00Self-similarity in the eigenvalues of random matricesElizabeth Meckes, Case Western Reserve University11th Floor Lecture Hall
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4:15 - 5:00Spaces of planar embeddingsRichard Kenyon, Brown University11th Floor Lecture Hall
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5:15 - 6:45Welcome Reception11th Floor Collaborative Space

Tuesday October 18, 2016
Time Description Speaker Location Abstracts Slides
9:00 - 9:45Topology of large random spacesMichael Farber, Queen Mary, University of London11th Floor Lecture Hall
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10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space
10:30 - 11:15Generalized statistical honeycomb and void percolation.Benoit Charbonneau, University of Waterloo11th Floor Lecture Hall
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11:30 - 12:15Property (T) in simplicial complexes and the spectral evolution of random graphsElliot Paquette, The Ohio State University11th Floor Lecture Hall
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12:30 - 2:30Break for Lunch / Free Time
2:30 - 3:15Persistence Diagrams in Probability and Statistics: From Materials TDA View- pointsYasu Hiraoka, Tohoku University11th Floor Lecture Hall
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3:30 - 5:00Poster Session and Coffee/Tea Break11th Floor Collaborative Space

Wednesday October 19, 2016
Time Description Speaker Location Abstracts Slides
9:00 - 9:45Random gluing polygonsSergei Chmutov, Ohio State University at Mansfield11th Floor Lecture Hall
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10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space
10:30 - 11:15Continumm Percolation and Duality with Hard-Particle Systems Across DimensionsSalvatore Torquato, Princeton11th Floor Lecture Hall
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11:30 - 12:15Topology of Random Geometric ComplexesOmer Bobrowski, Technion - Israel Institute of Technology11th Floor Lecture Hall
12:30 - 12:40Group Photo 11th Floor Lecture Hall
12:40 - 2:30Break for Lunch / Free Time
2:30 - 3:15Percolating length scales in persistence diagrams from porous materialsVanessa Robins, The Australian National University11th Floor Lecture Hall
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space
4:00 - 4:45Random Clique ComplexesChristopher Hoffman, University of Washington11th Floor Lecture Hall
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Thursday October 20, 2016
Time Description Speaker Location Abstracts Slides
9:00 - 9:45A probabilistic approach to real enumerative geometry.Antonio Lerario, SISSA11th Floor Lecture Hall
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10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space
10:30 - 11:15Random signed measures constructed using Euler characteristicsKatharine Turner, EPFL11th Floor Lecture Hall
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11:30 - 12:15Algorithmic Self-Assembly and Self-Similar StructuresNatasa Jonoska, USF11th Floor Lecture Hall
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12:30 - 2:30Break for Lunch / Free Time
2:30 - 3:15Random Steiner complexesRon Rosenthal, Technion11th Floor Lecture Hall
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space
6:30 - 8:00ICERM Public Lecture: Voting InsecurityBarbara SimonsBrown University's Salomon Center

Friday October 21, 2016
Time Description Speaker Location Abstracts Slides
9:00 - 9:45Random lemniscatesErik Lundberg, Florida Atlantic University11th Floor Lecture Hall
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10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space
10:30 - 11:15Connectivity and distributions of three dimensional tilings.Caroline Klivans, Brown University11th Floor Lecture Hall
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11:30 - 12:15Recent progress in random groupsMoon Duchin, Tufts University11th Floor Lecture Hall
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12:30 - 2:30Break for Lunch / Free Time
2:30 - 3:15Gaussian Random KnotsEric Babson, UC - Davis11th Floor Lecture Hall
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