21 citations · 29 across the 4 of their papers we have counts for
4 papers · 1 filter
Tightness of voter model interfaces
Anja Sturm, Jan M. Swart
Consider a long-range, one-dimensional voter model started with all zeroes on the negative integers and all ones on the positive integers. If the process obtained by identifying st…
Extinction versus unbounded growth; Habilitation Thesis of the University Erlangen-Nürnberg
Jan M. Swart
Certain Markov processes, or deterministic evolution equations, have the property that they are dual to a stochastic process that exhibits extinction versus unbounded growth, i.e.,…
Renormalization analysis of catalytic Wright-Fisher diffusions
K. Fleischmann, J. M. Swart
Recently, several authors have studied maps where a function, describing the local diffusion matrix of a diffusion process with a linear drift towards an attraction point, is mappe…
Trimmed trees and embedded particle systems
Klaus Fleischmann, Jan M. Swart
In a supercritical branching particle system, the trimmed tree consists of those particles which have descendants at all times. We develop this concept in the superprocess setting.…