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math.PR2020★ 12 cited
Delocalization of the height function of the six-vertex model
Hugo Duminil-Copin, Alex Karrila, Ioan Manolescu +1
We show that the height function of the six-vertex model, in the parameter range and , is delocalized with logarithmic variance when $\mathbf…
math.PR2020★ 13 cited
UST branches, martingales, and multiple SLE(2)
Alex Karrila
We identify the local scaling limit of multiple boundary-to-boundary branches in a uniform spanning tree (UST) as a local multiple SLE(2), i.e., an SLE(2) process weighted by a sui…