香蕉视频

Title: Hit and miss with the (伪,尾)-superprocess

Abstract: The (伪,尾)-superprocess is a spatial branching model associated to an 伪-stable spatial motion and a (1+尾)-stable branching mechanism. It is a measure-valued Markov process. In this talk we consider the random density in the absolutely continuous regime. After introducing this process and some classical results, I will discuss some newly proven path properties of the density. These include (i) strict positivity of the density at a fixed time (for certain parameters) and (ii) a classification of the measures which the density charges almost surely when conditioned on survival. The duality between the superprocess and a fractional parabolic PDE is central to our method, and I will discuss how the probabilistic statements above correspond to new results about singular solutions to the PDE.

Link:

Meeting ID: 970 9325 9428

Passcode: problab