Eric A. Carlen, Ian Jauslin, Elliott H. Lieb: Analysis of a simple equation for the ground state of the Bose gas II: Monotonicity, Convexity and Condensate Fraction, 2020 http://ian.jauslin.org/publications/20cjl
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Changed: more precise statement of the bound on the large x decay of u (Theorem 1.2) Added: more details in the proof of the large x decay of u (Theorem 1.2) Fixed: miscellaneous typos.
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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. * Dependencies: pdflatex TeXlive packages: amsart amsfonts amsthm amssymb amsxtra array color hyperref latex bibtex GNU make * Files: Carlen_Jauslin_Lieb_2020.tex: main LaTeX file point.sty: custom LaTeX style file bibliography.bib: BibTeX database file