Emergent phenomena are properties of a system of many components which are only evident or even meaningful for the collection as a whole. A typical example is a system of many molecules, whose bulk properties may change from those of a fluid to those of a solid in response to changes in temperature or pressure. The basic mathematical tool for understanding emergent phenomena is the variational principle, most often employed via entropy maximization. The difficulty of analyzing emergent phenomena, however, makes empirical work essential; computations generate conjectures and their results are often our best judge of the truth.
The semester will include three workshops that will concentrate on di fferent aspects of current interest, including unusual settings such as complex networks and quasicrystals, the onset of emergence as small systems grow, and the emergence of structure and shape as limits in probabilistic models. The workshops will (necessarily) bring in researchers in combinatorics and probability as well as statistical physics and related areas. We aim to have experimental contributors for workshops 1 and 2 where we will highlight the comparison between computational and theoretical modeling and the real world. This will be combined with computational modules for the student participants.
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Semester Schedule
Monday, February 02, 2015
3:30 - 4:00 PM EST
Coffee/Tea Break - Semester Opening Participant Meet and Greet
Location: 11th Floor Collaborative Space
Tuesday, February 03, 2015
10:30 - 11:50 AM EST
Statistical Mechanics and Combinatorics (ongoing semester course) - Richard Kenyon, Brown University
Location: 11th Floor Lecutre Hall
3:30 - 4:00 PM EST
Coffee/Tea Break
Location: 11th Floor Collaborative Space
4:00 - 5:30 PM EST
Stochastic quantum integrable systems, part II - Ivan Corwin, Columbia University, Clay Mathematics Institute, Institute Henri Poincare, Packard Foundation
Location: 11th Floor Lecture Hall
5:30 - 7:00 PM EST
Semester Program Opening Reception
Location: 11th Floor Collaborative Space
Wednesday, February 04, 2015
1:45 - 2:00 PM EST
ICERM Director Welcome and Orientation
Location: 11th Floor Lecture Hall
2:00 - 3:30 PM EST
Graduate Student and Postdoc Introductions
Location: 11th Floor Lecture Hall
3:30 - 4:00 PM EST
Coffee/Tea Break with Open problem session - Organized by Peter Winkler, Dartmouth College
Location: 11th Floor Collaborative Space
Thursday, February 05, 2015
10:30 - 11:50 AM EST
Statistical Mechanics and Combinatorics (ongoing semester course) - Richard Kenyon, Brown University
Location: 11th Floor Lecture Hall
3:30 - 4:00 PM EST
Coffee/Tea Break
Location: 11th Floor Collaborative Space
Friday, February 06, 2015
9:30 - 10:30 AM EST
Simulation discussion session - Organized by Rastko Sknepnek, University of Dundee
