Law of large numbers for infinite random matrices over a finite field

DOI10.1007/s00029-015-0179-9zbMath1335.60032arXiv1402.1772OpenAlexW2033580007WikidataQ57460664 ScholiaQ57460664MaRDI QIDQ745878

Leonid Petrov, Alexey I. Bufetov

Publication date: 14 October 2015

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.1772

zbMATH Keywords

general linear groupsfinite fieldlaw of large numbersrandom Young diagramsasymptotic representation theoryHall-Littlewood symmetric functionsinfinite random matricesKerov's conjecturerandomized Robinson-Schensted-Knuth insertion algorithm

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Interacting particle systems in time-dependent statistical mechanics (82C22) Strong limit theorems (60F15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items (10)

Infinite 𝑝-adic random matrices and ergodic decomposition of 𝑝-adic Hua measures ⋮ Hall-Littlewood RSK field ⋮ Stochastic PDE limit of the six vertex model ⋮ qRSt: a probabilistic Robinson-Schensted correspondence for Macdonald polynomials ⋮ HALF-SPACE MACDONALD PROCESSES ⋮ Macdonald-positive specializations of the algebra of symmetric functions: proof of the Kerov conjecture ⋮ Limits and fluctuations of \(p\)-adic random matrix products ⋮ Yang-Baxter random fields and stochastic vertex models ⋮ Infinite-dimensional groups over finite fields and Hall-Littlewood symmetric functions ⋮ YANG–BAXTER FIELD FOR SPIN HALL–LITTLEWOOD SYMMETRIC FUNCTIONS

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