Thomas Hughes

The (α,β)-superprocess is a spatial branching model associated to an α-stable spatial motion and a (1+β)-stable branching mechanism. Technically, it is a measure-valued Markov process, but this talk concerns the absolutely continuous parameter regime...

The (α,β)-superprocess is a spatial branching model associated to an α-stable spatial motion and a (1+β)-stable branching mechanism. Technically, it is a measure-valued Markov process, but this talk concerns the absolutely continuous parameter regime...

Superprocesses are measure-valued Markov processes describing the evolution of populations undergoing random spatial motion and independent branching (reproduction). In this talk I will discuss the dual relationship of superprocesses with certain...