@inbook{dffeff249b134a87b034826cc2a62514,
title = "Critical Behavior of Mean-Field XY and Related Models",
abstract = "We discuss spin models on complete graphs in the mean-field (infinite-vertex) limit, especially the classical XY model, the Toy model of the Higgs sector, and related generalizations. We present a number of results coming from the theory of large deviations and Stein{\textquoteright}s method, in particular, Cram{\'e}r and Sanov-type results, limit theorems with rates of convergence, and phase transition behavior for these models.",
keywords = "Density function, Free energy, Gibbs measure, Mean-field",
author = "Kay Kirkpatrick and Tayyab Nawaz",
note = "Funding Information: Both authors partially supported by NSF CAREER award DMS-1254791, and NSF grant 0932078 000 while in residence at MSRI during Fall 2015. Publisher Copyright: {\textcopyright} 2017, Springer International Publishing AG.",
year = "2017",
doi = "10.1007/978-3-319-59671-6_10",
language = "English (US)",
isbn = "978-3-319-59670-9",
series = "Progress in Probability",
publisher = "Birkh{\"a}user",
pages = "207--221",
editor = "Fabrice Baudoin and Jonathon Peterson",
booktitle = "Stochastic Analysis and Related Topics",
address = "Switzerland",
}