Random walks on the braid group \(B_3\) and magnetic translations in hyperbolic geometry

DOI10.1016/S0550-3213(01)00590-9zbMath0983.60039arXivmath-ph/0103008OpenAlexW2159265340MaRDI QIDQ5951833

Raphaël Voituriez

Publication date: 7 January 2002

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0103008

zbMATH Keywords

topological complexityhyperbolic graphstrivial entanglement probability

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Topological and differentiable algebraic systems (22A99)

Related Items

Conformal geometry and invariants of 3-strand Brownian braids ⋮ Random knots using Chebyshev billiard table diagrams ⋮ On the functions of two commuting Laplace-Beltrami operators in hyperbolic space

Cites Work

• On the Landau levels on the hyperbolic plane
• Quantum Hall effect on the hyperbolic plane
• Discrete magnetic Laplacian
• Braids and self-distributivity
• Asymptotic laws for the winding angles of planar Brownian motion
• The noncommutative geometry of the quantum Hall effect
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