| Abstract: |
| We present a class of non-Markovian branching processes, called anomalous branching processes, and study their probabilistic properties, such as the behavior of the moments of the number of particles alive at a time t on a given set. Those processes are then used to derive a probabilistic representation for the solutions of time-fractional F-KPP equations. By exploiting this connection, we also derive estimates for the probability tail of the position of the rightmost particle in the one-dimensional case. |
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