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math-phDec 13, 2022
authors
  • V. L. Chernyshev
  • A. A. Tolchennikov
institutions
  • Institute for Problems in Mechanics
  • Lomonosov Moscow State University
  • National Research University Higher School of Economics
arXiv abstractPDF
paper

A Metric Graph for Which the Number of Possible Endpoints of a Random Walk Grows Minimally

arXiv:2212.06941 · doi:10.1134/S1061920822040033

Abstract

We prove that metric graph with the minimal growth of the number of possible endpoints of a random walk is the union of several linear paths coming out of the same vertex

References in corpus (2)

  • The properties of the distribution of Gaussian packets on a spatial network
  • Towards Dynamic-Point Systems on Metric Graphs with Longest Stabilization Time
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