Conformal Measure Ensembles and Planar Ising Magnetization: A Review

Federico Camia; Jianping Jiang; Charles M. Newman

Conformal Measure Ensembles and Planar Ising Magnetization: A Review

Federico Camia, Jianping Jiang, Charles M. Newman

Research output: Contribution to journal › Article › peer-review

Abstract

We provide a review of results on the critical and near-critical scaling limit of the planar Ising magnetization field obtained in the past dozen years. The results are presented in the framework of coupled loop and measure ensembles, and some new proofs are provided.

Original language	English (US)
Pages (from-to)	631-663
Number of pages	33
Journal	Markov Processes and Related Fields
Volume	27
Issue number	4
State	Published - 2021

Keywords

Conformal Measure Ensemble
FK-Ising model
magnetization field

ASJC Scopus subject areas

Statistics and Probability
Applied Mathematics

Cite this

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title = "Conformal Measure Ensembles and Planar Ising Magnetization: A Review",

abstract = "We provide a review of results on the critical and near-critical scaling limit of the planar Ising magnetization field obtained in the past dozen years. The results are presented in the framework of coupled loop and measure ensembles, and some new proofs are provided.",

keywords = "Conformal Measure Ensemble, FK-Ising model, magnetization field",

author = "Federico Camia and Jianping Jiang and Newman, {Charles M.}",

note = "Publisher Copyright: {\textcopyright} Polymat, Moscow 2021.",

year = "2021",

language = "English (US)",

volume = "27",

pages = "631--663",

journal = "Markov Processes and Related Fields",

issn = "1024-2953",

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TY - JOUR

T1 - Conformal Measure Ensembles and Planar Ising Magnetization

T2 - A Review

AU - Camia, Federico

AU - Jiang, Jianping

AU - Newman, Charles M.

N1 - Publisher Copyright: © Polymat, Moscow 2021.

PY - 2021

Y1 - 2021

N2 - We provide a review of results on the critical and near-critical scaling limit of the planar Ising magnetization field obtained in the past dozen years. The results are presented in the framework of coupled loop and measure ensembles, and some new proofs are provided.

AB - We provide a review of results on the critical and near-critical scaling limit of the planar Ising magnetization field obtained in the past dozen years. The results are presented in the framework of coupled loop and measure ensembles, and some new proofs are provided.

KW - Conformal Measure Ensemble

KW - FK-Ising model

KW - magnetization field

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M3 - Article

AN - SCOPUS:85119394258

SN - 1024-2953

VL - 27

SP - 631

EP - 663

JO - Markov Processes and Related Fields

JF - Markov Processes and Related Fields

IS - 4

ER -

Conformal Measure Ensembles and Planar Ising Magnetization: A Review

Abstract

Keywords

ASJC Scopus subject areas

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