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Lectures on Coulomb and Riesz gases / Sylvia Serfaty

American Mathematical Society eBooks Available online

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Format:
Book
Author/Creator:
Serfaty, Sylvia, Author.
Series:
Colloquium publications (American Mathematical Society) ; v. 70.
American Mathematical Society colloquium publications, 2743-3946 ; volume 70
Language:
English
Subjects (All):
Statistical mechanics--Mathematics.
Statistical mechanics.
Coulomb functions.
Random matrices.
Limit theorems (Probability theory).
Physical Description:
1 online resource.
Place of Publication:
[Providence, Rhode Island] : American Mathematical Society, [2026]
Contents:
The equilibrium measure(s)
The leading order behavior
The modulated electric energy
Splittings, concentration, and separation estimates
The commutator estimate and application to dynamics
The two energy quantities and the screening procedure
Local laws and almost additivity of the free energy
The transport method and free energy expansions
Analysis of fluctuations
The jellium renormalized energy
Microscopic characterization of minimizers via the jellium renormalized energy
LDP for empirical fields
Notes:
Includes bibliographical references and index
Online resource; title from PDF title page (AMS Digital Library, viewed June 1, 2026)
Other Format:
Print version: Serfaty, Sylvia Lectures on Coulomb and Riesz gases
ISBN:
9781470486211
1470486210
OCLC:
1593331981
Access Restriction:
Restricted for use by site license

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