Camia, Federico; Jiang, Jianping; Newman, Charles M. Conformal measure ensembles and planar Ising magnetization: a review. (English) Zbl 1469.60311 Markov Process. Relat. Fields 27, No. 4, 631-663 (2021). Summary: 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. Cited in 2 Documents MSC: 60K35 Interacting random processes; statistical mechanics type models; percolation theory 82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics 82B27 Critical phenomena in equilibrium statistical mechanics 81T27 Continuum limits in quantum field theory 81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics Keywords:FK-Ising model; magnetization field; conformal measure ensemble PDFBibTeX XMLCite \textit{F. Camia} et al., Markov Process. Relat. Fields 27, No. 4, 631--663 (2021; Zbl 1469.60311) Full Text: arXiv