Local time of random walks on graphs

Václav Zatloukal
Phys. Rev. E 104, 044302 – Published 4 October 2021
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  • INTRODUCTION
  • LOCAL TIME OF A DISCRETE RANDOM WALK
  • EXAMPLES
  • CONCLUSION AND OUTLOOK
  • ACKNOWLEDGMENTS
  • APPENDICES
    • References

    Abstract

    We investigate the local (or occupation) time of a discrete-time random walk on a generic graph, and present a general method for calculating sample-path averages of local time functionals in terms of the resolvent of the transition matrix.

    • Figure
    • Figure
    • Received 14 January 2021
    • Accepted 16 September 2021

    DOI:https://doi.org/10.1103/PhysRevE.104.044302

    ©2021 American Physical Society

    Physics Subject Headings (PhySH)

    1. Research Areas
    Network diffusionSpreading
    1. Physical Systems
    Directed networksWeighted networks
    Networks

    Authors & Affiliations

    Václav Zatloukal*

    • Department of Physics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Břehová 7, 115 19 Praha 1, Czech Republic

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    Issue

    Vol. 104, Iss. 4 — October 2021

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