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

DOI10.1214/20-EJP466zbMath1446.82068arXiv1901.03481MaRDI QIDQ782815

Akihito Hora

Publication date: 29 July 2020

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.03481

zbMATH Keywords

random Young diagramfree probabilitydynamical limit shapepausing time distributionrepresentation of symmetric group

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)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gaussian fluctuations of Young diagrams and structure constants of Jack characters
• Stein's method, Jack measure, and the Metropolis algorithm
• A diffusive limit for the profiles of random Young diagrams by way of free probability
• Infinite-dimensional diffusions as limits of random walks on partitions
• A variational problem for random Young tableaux
• Representations of symmetric groups and free probability
• Gaussian fluctuations of characters of symmetric groups and of Young diagrams
• Lectures on Random Interfaces
• The Limit Shape Problem for Ensembles of Young Diagrams
• Lectures on the Combinatorics of Free Probability
• On the free convolution with a semi-circular distribution
• Stein’s method and Plancherel measure of the symmetric group
• Hydrodynamic limit for an evolutional model of two-dimensional Young diagrams

This page was built for publication: Effect of microscopic pausing time distributions on the dynamical limit shapes for random Young diagrams