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Harmonic Analysis of Random Walks on the Daisy Library Graph

Jorge Soto-Andrade
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Jorge Soto-Andrade: University of Chile, Department of Mathematics, Faculty of Science

A chapter in Harmonic Analysis and Discrete Potential Theory, 1992, pp 223-232 from Springer

Abstract: Abstract We recall the application of the method of harmonic analysis to the study of random walks on geometric spaces. Let X be a finite regular graph, for instance. One wants to study the canonical random walk on X, in which a particle starts from a given vertex x 0 ∈ X at t = 0 and then jumps from any vertex x to any of its s x nearest neighbours with uniform probability (s x )−1.

Keywords: Irreducible Representation; Spherical Function; Natural Representation; Primitive Idempotent; Geometric Space (search for similar items in EconPapers)
Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4899-2323-3_18

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DOI: 10.1007/978-1-4899-2323-3_18

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