Exact Random Walk Distributions using Noncommutative Geometry

Details Exact Random Walk Distributions using Noncommutative Geometry Exact Random Walk Distributions using Noncommutative Geometry

1997-08-18

arxiv.org/abs/alg-geom/9708015v1

Physics

Condensed Matter

Latex, 3 pages, 1 figure, to be published in J. Phys. A : Math. Gen

Scientific paper

10.1088/0305-4470/30/21/001

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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