Crossing probabilities of multiple Ising interfaces

Eveliina Peltola; Hao Wu

doi:10.1214/22-AAP1888

Crossing probabilities of multiple Ising interfaces

Eveliina Peltola, Hao Wu

Tsinghua University

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

2 Sitaatiot (Scopus)

39 Lataukset (Pure)

Abstrakti

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.

Alkuperäiskieli	Englanti
Sivut	3169-3206
Sivumäärä	38
Julkaisu	Annals of Applied Probability
Vuosikerta	33
Numero	4
DOI - pysyväislinkit	https://doi.org/10.1214/22-AAP1888
Tila	Julkaistu - elok. 2023
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Pääsy asiakirjaan

10.1214/22-AAP1888Lisenssi: CC BY

SCI_Peltola_etal_The_Annals_of_Applied_Probability_2023Final published version, 1,06 MBLisenssi: CC BY

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1 Päättynyt
1 Aktiivinen

Peltola Eveliina AT-palkka: Satunnaisgeometrian konformi-invarianssi
Peltola, E. (Vastuullinen tutkija), Abuzaid, O. (Projektin jäsen) & Brummet, L. (Projektin jäsen)
01/09/2021 → 31/08/2026
Projekti: Academy of Finland: Other research funding
First Peltola: Finnish centre of excellence in Randomness and STructures
Peltola, E. (Vastuullinen tutkija), Roussillon, J. (Projektin jäsen), Ryan, K. (Projektin jäsen) & Immonen, J. (Projektin jäsen)
01/01/2022 → 31/12/2024
Projekti: Academy of Finland: Other research funding

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title = "Crossing probabilities of multiple Ising interfaces",

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.",

author = "Eveliina Peltola and Hao Wu",

year = "2023",

month = aug,

doi = "10.1214/22-AAP1888",

language = "English",

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T1 - Crossing probabilities of multiple Ising interfaces

AU - Peltola, Eveliina

AU - Wu, Hao

PY - 2023/8

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N2 - 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.

AB - 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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U2 - 10.1214/22-AAP1888

DO - 10.1214/22-AAP1888

M3 - Article

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JO - Annals of Applied Probability

JF - Annals of Applied Probability

IS - 4

ER -

Crossing probabilities of multiple Ising interfaces

Abstrakti

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Sormenjälki

Projektit

Peltola Eveliina AT-palkka: Satunnaisgeometrian konformi-invarianssi

First Peltola: Finnish centre of excellence in Randomness and STructures

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