14 citations · 24 across the 13 of their papers we have counts for
3 papers · 1 filter
Finite system scheme for infinite rate mutually catalytic branching with infinite branching rate
Leif Doering, Achim Klenke, Leonid Mytnik
For many stochastic diffusion processes with mean field interaction, convergence of the rescaled total mass processes towards a diffusion process is known. Here we show convergence…
Real Self-Similar Processes Started from the Origin
Steffen Dereich, Leif Doering, Andreas E. Kyprianou
Since the seminal work of Lamperti there is a lot of interest in the understanding of the general structure of self-similar Markov processes. Lamperti gave a representation of posi…
Perpetual Integrals for Levy Processes
Leif Doering, Andreas E. Kyprianou
We ask for necessary and sufficient conditions for almost sure finiteness of the perpetual integrals of a Levy process. Zero-one laws are already known for Brownian motion with dri…