BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Emergence of long cycles for random interchange process on hypercubes Kotecky, Roman


Motivated by phase transitions in quantum spin models, we study random permutations of vertices (induced by products of uniform independent random transpositions on edges) in the case of high-dimensional hypercubes. We establish the existence of a transition accompanied by emergence of cycles of diverging lengths. (Joint work with Piotr Miłoś and Daniel Ueltschi.)

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