Limit shapes, real and imagined-Reference-Cited by-同舟云学术

Limit shapes, real and imagined

Published:2015-08-20 Issue:2 Volume:53 Page:187-216
ISSN:0273-0979
Container-title:Bulletin of the American Mathematical Society
language:en
Short-container-title:Bull. Amer. Math. Soc.

Author:

Okounkov Andrei

Abstract

This is an introductory discussion of limit shapes, in particular for random partitions and stepped surfaces, and of their applications to supersymmetric gauge theories.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/bull/2016-53-02/S0273-0979-2015-01512-0/S0273-0979-2015-01512-0.pdf

Reference52 articles.

1. The moment map and equivariant cohomology;Atiyah, M. F.;Topology,1984

2. 3D crystal: how flat its flat facets are?;Bodineau, Thierry;Comm. Math. Phys.,2005

3. A. Borodin, V. Gorin, and A. Guionnet, Gaussian asymptotics of discrete 𝛽-ensembles, arXiv:1505.03760.

4. Instanton counting via affine Lie algebras. I. Equivariant 𝐽-functions of (affine) flag manifolds and Whittaker vectors;Braverman, Alexander,2004

5. A. Braverman and P. Etingof, Instanton counting via affine Lie algebras II: from Whittaker vectors to the Seiberg-Witten prepotential, math.AG/0409441.

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