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Emergent phases in constrained random networks

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SNAW01 - Graph limits and statistics

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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