Crossing probabilities of multiple Ising interfaces

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date

2023-08

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Department of Mathematics and Systems Analysis

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en

Pages

38

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Annals of Applied Probability, Volume 33, issue 4, pp. 3169-3206

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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DOI

10.1214/22-AAP1888

Citation

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

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https://urn.fi/URN:NBN:fi:aalto-202308114691

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[article-cris] Perustieteiden korkeakoulu / SCI