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Continuous Time Branching Random Walk

Rinaldo B. Schinazi
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Rinaldo B. Schinazi: University of Colorado, Department of Mathematics

Chapter VI in Classical and Spatial Stochastic Processes, 1999, pp 135-152 from Springer

Abstract: Abstract What is in this chapter? Branching random walks are among the simplest continuous time spatial processes. Consider a system of particles that undergo branching and random motion on a countable graph (such as Z d or a homogeneous tree) according to the two following rules. A particle at x waits an exponential random time with rate λp(x, y) > 0 and then gives birth to a particle at y. p(x, y) are the transition probabilities of a Markov chain and λ > 0 is a parameter. A particle waits an exponential time with rate 1 and then dies.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-1582-0_6

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DOI: 10.1007/978-1-4612-1582-0_6

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