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
f76337d739
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.
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| Changelog | ||
| Jauslin_Lebowitz_2017b.tex | ||
| Makefile | ||
| README | ||
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