Crossing probabilities of multiple Ising interfaces

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Volume Title

A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Date

2023-08

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en

Pages

38
3169-3206

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ANNALS OF APPLIED PROBABILITY, Volume 33, issue 4

Abstract

We prove that in the scaling limit, the crossing probabilities of multiple interfaces in the critical planar Ising model with alternating boundary conditions are conformally invariant expressions given by the pure partition functions of multiple SLEκ with κ=3. In particular, this identifies the scaling limits with ratios of specific correlation functions of conformal field theory.

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Peltola, E & Wu, H 2023, ' Crossing probabilities of multiple Ising interfaces ', Annals of Applied Probability, vol. 33, no. 4, pp. 3169-3206 . https://doi.org/10.1214/22-AAP1888