Maximal displacement of branching symmetric stable processes

Yuichi Shiozawa

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arXiv · 2106.15215

Maximal displacement of branching symmetric stable processes

Yuichi Shiozawa

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Abstract

We determine the limiting distribution and the explicit tail behavior for the maximal displacement of a branching symmetric stable process with spatially inhomogeneous branching structure. Here the branching rate is a Kato class measure with compact support and can be singular with respect to the Lebesgue measure.

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Yuichi Shiozawa. 2021-06-29. Maximal displacement of branching symmetric stable processes. https://arxiv.org/abs/2106.15215

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