Random walk on a building of type \(\tilde A_r\) and Brownian motion of the Weyl chamber

DOI10.1214/07-AIHP163zbMath1218.60003arXivmath/0611529OpenAlexW1635138000MaRDI QIDQ838318

Bruno Schapira

Publication date: 24 August 2009

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611529

zbMATH Keywords

Brownian motionroot systemsrandom walkaffine buildingGUE process

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Brownian motion (60J65) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Buildings and the geometry of diagrams (51E24) Convergence of probability measures (60B10) Asymptotic enumeration (05A16) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items

Limits and fluctuations of \(p\)-adic random matrix products, 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
• The infinite Brownian loop on a symmetric space.
• Littelmann paths and Brownian paths
• Spherical harmonic analysis on affine buildings
• The Heckman-Opdam Markov processes
• Brownian bridge on hyperbolic spaces and on homogeneous trees
• Equation de Choquet-Deny sur le dual d'un groupe compact
• Some properties of Brownian motion in a cone
• Orthogonal polynomials associated with root systems
• Spherical harmonic analysis on buildings of type \(\tilde A_n\)
• Isotropic random walks in a building of type \(\widetilde{A}_d\)
• Some new examples of Markov processes which enjoy the time-inversion property
• Quantum random walk on the dual of SU\((n)\)
• Isotropic random walks on affine buildings
• Buildings and Hecke algebras.
• Brownian bridge on Riemannian symmetric spaces