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Lower deviation for the maximum of two-speed branching Brownian motion

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  • Chen, Zengcai

Abstract

It was shown by Bovier and Hartung (2014) that the maximum of a two-speed branching Brownian motion is convergent in law. In this paper, we concentrate on the lower deviation probability for the maximum of a two-speed branching Brownian motion, and obtain its rate function.

Suggested Citation

  • Chen, Zengcai, 2024. "Lower deviation for the maximum of two-speed branching Brownian motion," Statistics & Probability Letters, Elsevier, vol. 206(C).
    • Handle: RePEc:eee:stapro:v:206:y:2024:i:c:s0167715223002262
    DOI: 10.1016/j.spl.2023.110002
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    References listed on IDEAS

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    1. Chen, Xinxin, 2013. "Waiting times for particles in a branching Brownian motion to reach the rightmost position," Stochastic Processes and their Applications, Elsevier, vol. 123(8), pages 3153-3182.
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