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arXiv · 1608.00792

Singularities of stable super-Brownian motion

Paul Balança·Leonid Mytnik
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Abstract

We investigate in this work the spectrum of singularities of super-Brownian motion with stable branching. The main purpose is to provide a uniform description of the latter in high dimension $d\geq\tfrac{2}{\gamma-1}$, presenting the singularities existing at every time t and characterising as well the set of random times at which singularities of higher order appear. In lower dimensions, we give a partial description of the singularities which complement the recent study of the density by Mytnik and Wachtel.

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Paul Balança, Leonid Mytnik. 2016-08-02. Singularities of stable super-Brownian motion. https://arxiv.org/abs/1608.00792

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