Maximal displacement of branching brownian motion
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Publication:4134664
DOI10.1002/cpa.3160310502zbMath0361.60052OpenAlexW2098130249MaRDI QIDQ4134664
Publication date: 1978
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cpa.3160310502
Brownian motion (60J65) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)
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Cites Work