Random sorting networks: local statistics via random matrix laws

This paper finds the bulk local limit of the swap process of uniformly random sorting networks. The limit object is defined through a deterministic procedure, a local version of the Edelman-Greene algorithm, applied to a two dimensional determinantal point process with explicit kernel. The latter de...

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Bibliographic Details
Main Authors: Gorin, Vadim (Author), Rahman, Mustazee (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Springer Berlin Heidelberg, 2019-11-14T18:41:55Z.
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