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arXiv · alg-geom/9708015

Exact Random Walk Distributions using Noncommutative Geometry

Jean Bellissard·Carlos J Camacho·Armelle Barelli·Francisco Claro
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Abstract

Using the results obtained by the non commutative geometry techniques applied to the Harper equation, we derive the areas distribution of random walks of length $ N $ on a two-dimensional square lattice for large $ N $, taking into account finite size contributions.

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Jean Bellissard, Carlos J Camacho, Armelle Barelli, Francisco Claro. 1997-08-18. Exact Random Walk Distributions using Noncommutative Geometry. https://doi.org/10.1088/0305-4470%2F30%2F21%2F001

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