Randomly growing braid on three strands and the Manta Ray

DOI10.1214/105051606000000754zbMath1146.60009arXivmath/0703913OpenAlexW2050420616MaRDI QIDQ2455054

Jean Mairesse, Frédéric Mathéus

Publication date: 22 October 2007

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

Full work available at URL: https://arxiv.org/abs/math/0703913

zbMATH Keywords

harmonic measurerandom walkbraid groupdriftdihedral Artin group

Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Sums of independent random variables; random walks (60G50) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (11)

Asymptotic Word Length of Random Walks on HNN Extensions ⋮ Rate of escape on the lamplighter tree ⋮ Regularity of the entropy for random walks on hyperbolic groups ⋮ On the penetration distance in Garside monoids ⋮ Randomly growing braid on three strands and the Manta Ray ⋮ Differentiating the entropy of random walks on hyperbolic groups ⋮ Alternating normal forms for braids and locally Garside monoids. ⋮ Random knots using Chebyshev billiard table diagrams ⋮ Uniform measures on braid monoids and dual braid monoids ⋮ Renewal theory for random walks on surface groups ⋮ Noncommutative independence from the braid group \({\mathbb{B}_{\infty}}\)

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