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math.PR2004
Degrees of transience and recurrence and hierarchical random walks
D. A. Dawson, L. G. Gorostiza, A. Wakolbinger
The notion of degree and related notions concerning recurrence and transience for a class of L'evy processes on metric Abelian groups are studied. The case of random walks on a hie…
math.PR1998
Finite time extinction of super-Brownian motions with catalysts
Donald A. Dawson, Klaus Fleischmann, Carl Mueller
Consider a catalytic super-Brownian motion with finite variance branching. Here `catalytic' means that branching of the reactant is only possible in the presence of som…