most recent 30 from http://mathoverflow.net 2013-05-25T19:55:58Z http://mathoverflow.net/feeds/user/13136 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/4172/where-does-a-math-person-go-to-learn-statistical-mechanics/56287#56287 aernout van Enter 2011-02-22T14:50:15Z 2011-02-22T14:50:15Z

<p>Two other books which are worthwhile I find R.B. Israel: Convexity in the Theory of Lattice gases. It has wonderful introduction by Wightman , which is like book in itself. it is limited in scope but is excellent in what it treats. T.C. Dorlas Statistical mechanics, is written by a mathematical physicist and covers many topics in a more rigorous way than most physics textbooks do.</p>

http://mathoverflow.net/questions/44417/on-generalisation-of-aizenman-higuchi-theorem/56160#56160 aernout van Enter 2011-02-21T10:11:21Z 2011-02-21T10:11:21Z

<p>At very large\beta I think the big review of Dobrushin-Shlosman The problem of translation invariance of Gibbs states at low temperatures RL Dobrushin… - Sov. Sci. Rev., Sect. C, Math. Phys. Rev., 1985</p> <p>gives results for general 2d models. </p> <p>The fact that you won't get anything with Dobrushin boundary conditions follows from a paper by Bricmont-Lebowitz-Pfister Journal of Statistical Physics Volume 21, Number 5, 573-582, DOI: 10.1007/BF01011169 On the equivalence of boundary conditions That is suggestive, but not quite a proof of what you ask, Aernout van Enter</p>