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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Format: | Article |
Language: | English |
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Springer Berlin Heidelberg
2019
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Online Access: | https://hdl.handle.net/1721.1/122937 |