22 citations · 69 across the 12 of their papers we have counts for
4 papers · 2 filters
Infinite rate mutually catalytic branching in infinitely many colonies: The longtime behavior
Achim Klenke, Leonid Mytnik
Consider the infinite rate mutually catalytic branching process (IMUB) constructed in [Infinite rate mutually catalytic branching in infinitely many colonies. Construction, charact…
Stochastic ordering of classical discrete distributions
Achim Klenke, Lutz Mattner
For several pairs of classical distributions on , we show that their stochastic ordering can be characterized by their extreme tail ordering equivalent…
A Trotter-type approach to infinite rate mutually catalytic branching
Achim Klenke, Mario Oeler
Dawson and Perkins [Ann. Probab. 26 (1988) 1088--1138] constructed a stochastic model of an interacting two-type population indexed by a countable site space which locally undergoe…
Infinite rate mutually catalytic branching in infinitely many colonies. Construction, characterization and convergence
Achim Klenke, Leonid Mytnik
We construct a mutually catalytic branching process on a countable site space with infinite "branching rate". The finite rate mutually catalytic model, in which the rate of branchi…