A diffusive limit for the profiles of random Young diagrams by way of free probability

DOI10.4171/PRIMS/169zbMath1341.82065MaRDI QIDQ899104

Akihito Hora

Publication date: 21 December 2015

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

zbMATH Keywords

Plancherel measurecanonical ensemblesymmetric groupMarkov chainfree probabilityrandom Young diagramsgrand canonical ensemblelimit shapediffusive scaling limitlimit form of Young tableauxPDE viewpoint

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Free probability and free operator algebras (46L54) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (1)

Effect of microscopic pausing time distributions on the dynamical limit shapes for random Young diagrams

Cites Work

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• Hydrodynamic limit for an evolutional model of two-dimensional Young diagrams

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