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Harmonic Analysis of Random Walks on the Daisy Library Graph

In: Harmonic Analysis and Discrete Potential Theory

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  • Jorge Soto-Andrade

    (University of Chile, Department of Mathematics, Faculty of Science)

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.

Suggested Citation

  • Jorge Soto-Andrade, 1992. "Harmonic Analysis of Random Walks on the Daisy Library Graph," Springer Books, in: Massimo A. Picardello (ed.), Harmonic Analysis and Discrete Potential Theory, pages 223-232, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-2323-3_18
    DOI: 10.1007/978-1-4899-2323-3_18
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