A Local Limit Theorem for Random Walks on the Chambers of Ã2 Buildings

DOI10.1007/978-3-0346-0244-0_2zbMath1245.60031arXiv0912.1301OpenAlexW2996285997MaRDI QIDQ5198972

James Parkinson, Bruno Schapira

Publication date: 10 August 2011

Published in: Random Walks, Boundaries and Spectra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.1301

zbMATH Keywords

Hecke algebrasrandom walksharmonic analysisaffine buildingsPlancherel theorem\(p\)-adic Lie groups

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Hecke algebras and their representations (20C08) Analysis on (p)-adic Lie groups (22E35) Analysis on other specific Lie groups (43A80) Groups with a (BN)-pair; buildings (20E42)

Related Items (3)

On calibrated representations and the Plancherel theorem for affine Hecke algebras ⋮ Distance regularity in buildings and structure constants in Hecke algebras ⋮ Regular sequences and random walks in affine buildings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Alcove walks, Hecke algebras, spherical functions, crystals and column strict tableaux.
• Analytic perturbation theory for matrices and operators. Licensed ed
• From shuffling cards to walking around the building: An introduction to modern Markov chain theory
• Analyse harmonique dans les systèmes de Tits bornologiques de type affine
• Marches aléatoires sur les groupes de Lie
• Random walks and hyperplane arrangements
• Representations of affine Hecke algebras
• Transition operators, groups, norms, and spectral radii
• A local limit theorem on certain \(p\)-adic groups and buildings
• Spherical harmonic analysis on buildings of type \(\tilde A_n\)
• Isotropic random walks in a building of type \(\widetilde{A}_d\)
• Alcove walks and nearby cycles on affine flag manifolds.
• Buildings and Hecke algebras.
• Random Walks and Plane Arrangements in Three Dimensions
• Affine Hecke Algebras and Their Graded Version
• Buildings
• Théorème central limite local sur certains groupes de Lie
• Isotropic random walks in a tree
• ON THE SPECTRAL DECOMPOSITION OF AFFINE HECKE ALGEBRAS
• Limit theorems for isotropic random walks on triangle buildings
• Random Walks on Infinite Graphs and Groups
• Eigenvalues, invariant factors, highest weights, and Schubert calculus
• Central Limit Theorem for Semisimple Lie Groups
• \(C^*\)-algebras by example
• Analysis of systematic scan Metropolis algorithms using Iwahori-Hecke algebra techniques

This page was built for publication: A Local Limit Theorem for Random Walks on the Chambers of Ã2 Buildings