Scaling limits in models of statistical mechanics. Abstracts from the workshop held September 9--15, 2012.

DOI10.4171/OWR/2012/44zbMath1349.00030OpenAlexW4251929641MaRDI QIDQ343356

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Publication date: 27 November 2016

Published in: Oberwolfach Reports (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/owr/2012/44

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Collections of abstracts of lectures (00B05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Proceedings, conferences, collections, etc. pertaining to statistical mechanics (82-06)

Cites Work

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• A finite-volume version of Aizenman-Higuchi theorem for the 2D Ising model
• The self-dual point of the two-dimensional random-cluster model is critical for \(q \geqslant 1\)
• Fluctuation theory of connectivities for subcritical random cluster models
• Gibbsian random fields for lattice systems with pairwise interactions.
• On the Gibbs states of the noncritical Potts model on \(\mathbb Z ^2\)

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