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math.PR2018
The interchange process with reversals on the complete graph
Jakob E. Björnberg, Michał Kotowski, Benjamin Lees +1
We consider an extension of the interchange process on the complete graph, in which a fraction of the transpositions are replaced by `reversals'. The model is motivated by statisti…
math-ph2018
Phase transition for loop representations of Quantum spin systems on trees
Volker Betz, Johannes Ehlert, Benjamin Lees
We consider a model of random loops on Galton-Watson trees with an offspring distribution with high expectation. We give the configurations a weighting of . For…