Jahnel, Benedikt; Külske, Christof Sharp thresholds for Gibbs-non-Gibbs transitions in the fuzzy Potts model with a Kac-type interaction. (English) Zbl 1391.82011 Bernoulli 23, No. 4A, 2808-2827 (2017). The authors consider the Gibbs-non-Gibbs transitions of the fuzzy Potts model on the \(d\)-dimensional torus with Kac interaction. The main result provides precise threshold values dividing Gibbsian and non-Gibbsian behavior. Reviewer: Utkir A. Rozikov (Tashkent) Cited in 1 ReviewCited in 2 Documents MSC: 82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics 60F10 Large deviations 60K35 Interacting random processes; statistical mechanics type models; percolation theory Keywords:diluted large deviation principles; fuzzy Kac-Potts model; Gibbs versus non-Gibbs; Kac model; large deviation principles; Potts model PDFBibTeX XMLCite \textit{B. Jahnel} and \textit{C. Külske}, Bernoulli 23, No. 4A, 2808--2827 (2017; Zbl 1391.82011) Full Text: DOI arXiv Euclid