4 papers · 1 filter
Correction to: Branching-coalescing particle systems
Siva R. Athreya, Jan M. Swart
In the article titled "Branching-Coalescing Particle Systems" published in Probability Theory and Related Fields 131(3), pages 376-414, (2005), Theorem 7 as stated there is incorre…
Survival of contact processes on the hierarchical group
Siva R. Athreya, Jan M. Swart
We consider contact processes on the hierarchical group, where sites infect other sites at a rate depending on their hierarchical distance, and sites become healthy with a constant…
Special points of the Brownian net
Emmanuel Schertzer, Rongfeng Sun, Jan M. Swart
The Brownian net, which has recently been introduced by Sun and Swart [SS08], and independently by Newman, Ravishankar and Schertzer [NRS08], generalizes the Brownian web by allowi…
The renormalization transformation for two-type branching models
Don A. Dawson, Andreas Greven, Frank den Hollander +2
This paper studies countable systems of linearly and hierarchically interacting diffusions taking values in the positive quadrant. These systems arise in population dynamics for tw…