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The extremal particles of branching Brownian motion

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The extremal particles of branching Brownian motion
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54
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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We study the positions of extremal particles in branching Brownian motion, with a particular emphasis on understanding why moment calculations can be misleading. We then turn to looking at the past trajectories of these particles, as well as their genealogical relationship with other particles in the system.