4 papers · 1 filter
Uniform spanning trees and random matrix statistics
Nathanaël Berestycki, Marcin Lis, Mingchang Liu +1
We consider a uniform spanning tree in a -square grid approximation of a planar domain . For given integer , we condition the tree on the following -arm event: w…
Multiradial SLE with spiral: resampling property and boundary perturbation
Chongzhi Huang, Eveliina Peltola, Hao Wu
We consider multiple radial Schramm-Loewner evolution (SLE) curves with various time parameterizations and possible spiraling behavior. We construct them by tilting independent rad…
Connection Probabilities of Multiple FK-Ising Interfaces
Yu Feng, Eveliina Peltola, Hao Wu
We find the scaling limits of a general class of boundary-to-boundary connection probabilities and multiple interfaces in the critical planar FK-Ising model, thus verifying predict…
Uniform Spanning Tree in Topological Polygons, Partition Functions for SLE(8), and Correlations in Logarithmic CFT
Mingchang Liu, Eveliina Peltola, Hao Wu
We find explicit SLE(8) partition functions for the scaling limits of Peano curves in the uniform spanning tree (UST) in topological polygons with general boundary conditions. They…