The shape of a random affine Weyl group element and random core partitions

DOI10.1214/14-AOP915zbMath1320.60028arXiv1102.4405OpenAlexW1740491779MaRDI QIDQ2354147

Thomas Lam

Publication date: 10 July 2015

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.4405

zbMATH Keywords

Coxeter groupsreduced wordsrandom partitionsTASEPcore partitions

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Combinatorial probability (60C05)

Related Items

The exact phase diagram for a semipermeable TASEP with nonlocal boundary jumps, An inhomogeneous multispecies TASEP on a ring, The size of \(t\)-cores and hook lengths of random cells in random partitions, Alcove random walks, \(k\)-Schur functions and the minimal boundary of the \(k\)-bounded partition poset, A product formula for the TASEP on a ring, Multiline queues with spectral parameters, Alcove random walks and \(k\)-Schur functions, Correlations in the multispecies TASEP and a conjecture by Lam

Cites Work

• Unnamed Item
• Unnamed Item
• An inhomogeneous multispecies TASEP on a ring
• Dual graded graphs for Kac-Moody algebras
• Hecke group algebras as quotients of affine Hecke algebras at level 0.
• On the number of reduced decompositions of elements of Coxeter groups
• A variational problem for random Young tableaux
• Random walks and hyperplane arrangements
• \(R\)-sequenceability and \(R^*\)-sequenceability of Abelian 2-groups
• Total positivity for loop groups. II: Chevalley generators
• Shape fluctuations and random matrices
• A combinatorial description of the spectrum for the Tsetlin library and its generalization to hyperplane arrangements
• Stationary distributions of multi-type totally asymmetric exclusion processes
• Parametrizations of infinite biconvex sets in affine root systems.
• Correlations in the multispecies TASEP and a conjecture by Lam
• A Markov Chain on the Symmetric Group That Is Schubert Positive?
• Combinatorics of Coxeter Groups
• Affine insertion and Pieri rules for the affine Grassmannian
• Affine Stanley symmetric functions
• K-theory Schubert calculus of the affine Grassmannian
• Non-equilibrium behaviour of a many particle process: Density profile and local equilibria
• Markov Chains
• Schubert polynomials for the affine Grassmannian
• Infinite wedge and random partitions