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...

Full description

Bibliographic Details
Main Authors: Gorin, Vadim, Rahman, Mustazee
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2019
Subjects:
Online Access:https://hdl.handle.net/1721.1/122937