Whittaker functions and related stochastic processes

zbMath1338.60203arXiv1201.4849MaRDI QIDQ3194884

Neil O'Connell

Publication date: 20 October 2015

Full work available at URL: https://arxiv.org/abs/1201.4849

zbMATH Keywords

Brownian motionrandom matricesrepresentation theoryWhittaker functions

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Brownian motion (60J65) Random matrices (algebraic aspects) (15B52)

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KPZ line ensemble ⋮ Harold Widom’s work in random matrix theory ⋮ Commentary on “Longest increasing subsequences: from patience sorting to the Baik–Deift–Johansson theorem” by David Aldous and Persi Diaconis ⋮ A path model for Whittaker vectors ⋮ Discrete Whittaker processes ⋮ HALF-SPACE MACDONALD PROCESSES ⋮ Three-point correlation functions in the \(\mathfrak{sl}_3\) Toda theory. I: Reflection coefficients ⋮ Macdonald processes ⋮ Interacting diffusions on positive definite matrices ⋮ The ghost-box-ball system: a unified perspective on soliton cellular automata, the RSK algorithm and phase shifts

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