Random sorting networks: local statistics via random matrix laws

DOI10.1007/s00440-018-0886-1zbMath1422.60081arXiv1702.07895OpenAlexW2594206683WikidataQ128984168 ScholiaQ128984168MaRDI QIDQ2273593

Vadim Gorin, Mustazee Rahman

Publication date: 24 September 2019

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.07895

zbMATH Keywords

Young tableaudeterminantal point processsorting networkreduced decompositionGaudin-Mehta lawGUE corners

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Interacting particle systems in time-dependent statistical mechanics (82C22) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (7)

Absorbing time asymptotics in the oriented swap process ⋮ Maxima of log-correlated fields: some recent developments* ⋮ The Archimedean limit of random sorting networks ⋮ Shift-invariance of the colored TASEP and finishing times of the oriented swap process ⋮ Circular support in random sorting networks ⋮ Trajectories in random minimal transposition factorizations ⋮ Periodic Pólya urns, the density method and asymptotics of Young tableaux

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