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math.PR2022
The compact support property for solutions to stochastic heat equations with stable noise
Thomas Hughes
We consider weak non-negative solutions to the stochastic partial differential equation \[ \partial_t Y(t,x) = ΔY(t,x) + Y(t,x)^γ\dot{L}(t,x), \] for $(t,x) \in \mathbb{R}_+ \times…
math.PR2022
Instantaneous support propagation for -Fleming-Viot processes
Thomas Hughes, Xiaowen Zhou
For a probability-measure-valued neutral Fleming-Viot process with Lévy mutation and resampling mechanism associated to a general -coalescent with multiple collisions, we…