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Emergent phases in constrained random networks

Presented by: 
Charles Radin University of Texas at Austin
Date: 
Tuesday 12th July 2016 - 10:00 to 10:30
Venue: 
INI Seminar Room 1
Abstract: 

Structures are shown to emerge in large random networks, under variable
constraints, when examined at large scale. They are automatically created
by the coalescence of nodes into a small number of equivalence classes,
which must cooperate to create structure in order to satisfy the constraints.
The structures change gradually as constraints vary within a phase, and
change sharply at phase transitions.

This talk is based on joint work with Richard Kenyon, Kui Ren and Lorenzo Sadun.

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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons