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Coulomb Gases and Ginzburg-Landau Vortices

Sylvia Serfaty
Publisher: 
European Mathematical Society
Publication Date: 
2015
Number of Pages: 
156
Format: 
Paperback
Series: 
Zurich Lectures in Advanced Mathematics 21
Price: 
38.00
ISBN: 
9783037191521
Category: 
Monograph
We do not plan to review this book.
  • Introduction
  • The leading order behavior of the Coulomb gas
  • Splitting the Hamiltonian
  • Definition(s) and properties of renormalized energy
  • Deriving W as the large n limit: lower bound via a general abstract method
  • Deriving W as the large n limit: screening, upper bound, and consequences
  • The Ginzburg-Landau functional: Presentation and heuristics
  • Main mathematical tools for Ginzburg-Landau
  • The leading order behavior for Ginzburg-Landau
  • The splitting and next order behavior for Ginzburg-Landau
  • Bibliography
  • Index