A new computation of pairing probabilities in several multiple-curve models

2022/08/11 by Karrila, Alex
#60H30 #60J67 #60K35 #82B20 #82B27 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)

paper · doi:10.48550/arxiv.2208.06008

Abstract

We give a new, short computation of pairing probabilities for multiple chordal interfaces in the critical Ising model, the harmonic explorer, and for multiple level lines of the Gaussian free field. The core of the argument are the convexity and uniqueness properties of local multiple SLE(κ) measures, valid for all κ> 0 and thus in principle applicable for any underlying random curve model, once suitably connected to local multiple SLEs.

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