A Yaglom type asymptotic result for subcritical branching Brownian motion with absorption

Jiaqi Liu

Stochastic Processes and their Applications, 2021, vol. 141, issue C, 245-273

Abstract: We consider a slightly subcritical branching Brownian motion with absorption, where particles move as Brownian motions with drift −2+2ɛ, undergo dyadic fission at rate 1, and are killed when they reach the origin. We obtain a Yaglom type asymptotic result, showing that the long run expected number of particles conditioned on survival grows exponentially as 1/ɛ as the process approaches criticality.

Keywords: Branching Brownian motion; Yaglom limit laws; Near critical phenomena (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spa.2021.07.009

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