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Abstract: We investigate the first-passage properties of bursty random walks on afinite one-dimensional interval of length L, in which unit-length steps to theleft occur with probability close to one, while steps of length b to the right-bursts- occur with small probability. This stochastic process provides acrude description of the early stages of virus spread in an organism afterexposure. The interesting regime arises when b is of the order of but less than1, where the conditional exit time to reach L, corresponding to an infectedstate, has a non-monotonic dependence on initial position. Both the exitprobability and the infection time exhibit complex dependences on the initialcondition due to the interplay between the burst length and interval length.



Autor: D. Volovik, S. Redner

Fuente: https://arxiv.org/



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