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Branching random walks and stretched exponential tails

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Dyszewski, Piotr Gantert, Nina

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Branching random walks and stretched exponential tails
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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 will consider a branching process with a spacial component on the real line. After birth each individual performs an independent step according a stretched exponential (or Weibull) law. We will give a detailed description of the asymptotic behaviour of the position of the rightmost particle.