Ian Jauslin
f76337d739
Update to v0.2:
Fixed: corrected the leading order in the asymptotics for \rho_1 in theorem 1.2. Fixed: The clusters in the cluster expansion are multi-sets, not sets. Fixed: The Ursell function in lemma 3.3 needs to be divided by the multiplicity of each element. Fixed: In the proofs of lemma 3.4 and theorem 1.2, when individuating a polymer from a cluster, one needs to sum over its multiplicity so as to avoid overcounting. Fixed: Wrong estimate in the proof of lemma 3.4 which changes some of the constants. Fixed: Missing a smallness condition on \alpha in the proof of lemma 3.4. Fixed: Wrong argument for the analyticity of \zeta in the proof of theorem 1.2. Fixed: miscellaneous minor tweaks, reformulations, clarifications and typos.
This directory contains the source files to typeset the article, and generate the figures. This can be accomplished by running make This document uses a custom class file, located in the 'libs' directory, which defines a number of commands. Most of these are drop-in replacements for those defined in the 'article' class. Some extra functionality is provided in custom style files, located in the 'libs' directory. * Dependencies: pdflatex TeXlive packages: amsfonts color doublestroke graphics hyperref latex marginnote pgf standalone GNU make * Files: Jauslin_Lebowitz_2017b.tex: main LaTeX file libs: custom LaTeX class and style files figs: source code for the figures
Description
Ian Jauslin, Joel L. Lebowitz: High-fugacity expansion, Lee-Yang zeros and order-disorder transitions in hard-core lattice systems, 2017
http://ian.jauslin.org/publications/17jlB
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