The asymptotic behaviors for branching α-stable process

Nana Luan and Li Wang

Statistics & Probability Letters, 2025, vol. 220, issue C

Abstract: We consider a branching symmetric α-stable process in which random split takes place at rate β>0. We obtain results concerning the long-term behavior of the number of particles surpassing eλt at time t for λ>0. Additionally, we derive the almost sure asymptotic speed of the rightmost particle as a consequence.

Keywords: Symmetric α-stable process; Rightmost particle (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1016/j.spl.2025.110362

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