Moderate Deviation for the Rightmost Position in a Branching Brownian Motion |
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Authors: | SHI Wanlin |
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Institution: | School of Mathematics and Physics, North China Electric Power University, Beijing, 102206, China |
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Abstract: | We study the moderate deviation probability of the position of the rightmost particle in a branching Brownian motion and obtain its moderate deviation function. Firstly, Chauvin and Rouault studied the large deviation probability for the rightmost position in a branching Brownian motion. Recently, Derrida and Shiconsidered lower deviation for the same model. By contrast, Our main result is more extensive. |
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Keywords: | branching Brownian motion moderate deviation probability |
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