Conformal Measure Ensembles and Planar Ising Magnetization: A Review

Federico Camia, Jianping Jiang, Charles M. Newman

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)631-663
Number of pages33
JournalMarkov Processes and Related Fields
Issue number4
StatePublished - 2021


  • Conformal Measure Ensemble
  • FK-Ising model
  • magnetization field

ASJC Scopus subject areas

  • Statistics and Probability
  • Applied Mathematics


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