Exact random walk distributions using noncommutative geometry

DOI10.1088/0305-4470/30/21/001zbMath0942.82010arXivalg-geom/9708015OpenAlexW1993703861MaRDI QIDQ4255603

Francisco Claro, Carlos Camacho, Armelle Barelli, Jean Bellissard

Publication date: 28 August 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9708015

zbMATH Keywords

random walksnoncommutative geometryprobability distributionHarper equationtwo-dimensional square latticeareas distributionfinite-size contributions

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Geometry of quantum groups (58B32)

Related Items (8)

The algebraic area of closed lattice random walks ⋮ Invariants of random knots and links ⋮ Lattice worldline representation of correlators in a background field ⋮ On the algebraic area of lattice walks and the Hofstadter model ⋮ Random walk on a discrete Heisenberg group ⋮ QUANTUM CORRECTIONS TO CONDUCTIVITY FOR SEMICONDUCTORS WITH VARIOUS STRUCTURES ⋮ On the distribution of the area enclosed by a random walk on \(\mathbb{Z}^2\) ⋮ Area distribution of two-dimensional random walks on a square lattice

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