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On the mean absorption time of multiple coalescing particles with removal at previously visited vertices

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  • Estrada, Mario A.
  • Ramos, Alex D.
  • Rodriguez, Pablo M.

Abstract

We study a stochastic process of multiple coalescing particles. In our process, k particles begin at an arbitrary but fixed vertex of a complete graph. Each particle performs an independent discrete-time symmetric random walk on the graph. When two or more particles meet at a given vertex, they merge into a single particle that continues the random walk through the graph. If a particle jumps to a vertex that has been previously visited by another particle, it is removed from the system. We analyze the asymptotic behavior of the absorption time of the process; i.e., the number of steps until the last particle is removed from the system.

Suggested Citation

  • Estrada, Mario A. & Ramos, Alex D. & Rodriguez, Pablo M., 2026. "On the mean absorption time of multiple coalescing particles with removal at previously visited vertices," Statistics & Probability Letters, Elsevier, vol. 227(C).
    • Handle: RePEc:eee:stapro:v:227:y:2026:i:c:s0167715225001683
    DOI: 10.1016/j.spl.2025.110523
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