Coulomb Gases and Ginzburg–Landau Vortices

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	Frontmatter, AcknowledgementsDownload pp. i–v
	ContentsDownload pp. vii–viii
1	IntroductionDownload pp. 1–9
2	The leading order behavior of the Coulomb gaspp. 11–41
3	The next order behavior: splitting the Hamiltonian, first lower boundpp. 43–59
4	Definition(s) and properties of renormalized energypp. 61–80
5	Deriving $W$ as the large n limit: lower bound via a general abstract methodpp. 81–92
6	Deriving $W$ as the large n limit: screening, upper bound, and consequencespp. 93–106
7	The Ginzburg–Landau functional: presentation and heuristicspp. 107–115
8	Main mathematical tools for Ginzburg–Landaupp. 117–125
9	The leading order behavior for Ginzburg–Landaupp. 127–136
10	The splitting and the next order behavior for Ginzburg–Landaupp. 137–146
	Bibliographypp. 147–156
	Indexp. 157