18 citations · 50 across the 11 of their papers we have counts for
5 papers · 2 filters
Hitting properties and non-uniqueness for SDE driven by stable processes
Julien Berestycki, Leif Doering, Leonid Mytnik +1
We study a class of self-similar jump type SDEs driven by Hölder-continuous drift and noise coefficients. Using the Lamperti transformation for positive self-similar Markov process…
Mutually Catalytic Branching Processes on the Lattice and Voter Processes with Strength of Opinion
Leif Doering, Leonid Mytnik
Since the seminal work of Dawson and Perkins, mutually catalytic versions of super-processes have been studied frequently. In this article we combine two approaches extending their…
An Application of Renewal Theorems to Exponential Moments of Local Times
Leif Doering, Mladen Savov
In this note we explain two transitions known for moment generating functions of local times by means of properties of the renewal measure of a related renewal equation. The argume…
(Non)Differentiability and Asymptotics for Potential Densities of Subordinators
Leif Doering, Mladen Savov
For subordinators with positive drift we extend recent results on the structure of the potential measures and the renewal densities. Applying Fourier analysis a new representation…
Catalytic branching processes via spine techniques and renewal theory
Leif Doering, Matthew I. Roberts
In this article we contribute to the moment analysis of branching processes in catalytic media. The many-to-few lemma based on the spine technique is used to derive a system of (di…