PlumX Metrics
Embed PlumX Metrics

Branching Random Walks with One Particle Generation Center and Possible Absorption at Every Point

Mathematics, ISSN: 2227-7390, Vol: 11, Issue: 7
2023
  • 1
    Citations
  • 0
    Usage
  • 0
    Captures
  • 1
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    1
    • Citation Indexes
      1
  • Mentions
    1
    • Blog Mentions
      1
      • Blog
        1

Article Description

We consider a new model of a branching random walk on a multidimensional lattice with continuous time and one source of particle reproduction and death, as well as an infinite number of sources in which, in addition to the walk, only the absorption of particles can occur. The asymptotic behavior of the integer moments of both the total number of particles and the number of particles at a lattice point is studied depending on the relationship between the model parameters. In the case of the existence of an isolated positive eigenvalue of the evolution operator of the average number of particles, a limit theorem is obtained on the exponential growth of both the total number of particles and the number of particles at a lattice point.

Bibliographic Details

Provide Feedback

Have ideas for a new metric? Would you like to see something else here?Let us know