72 citations · 143 across the 23 of their papers we have counts for
5 papers · 1 filter
Recursive tree processes and the mean-field limit of stochastic flows
Tibor Mach, Anja Sturm, Jan M. Swart
Interacting particle systems can often be constructed from a graphical representation, by applying local maps at the times of associated Poisson processes. This leads to a natural…
Random Function Iterations for Consistent Stochastic Feasibility
Neal Hermer, D. Russell Luke, Anja Sturm
We study the convergence of stochastic fixed point iterations in the consistent case (in the sense of Butnariu and Flåm (1995)) in several different settings, under decreasingly re…
Trait-dependent branching particle systems with competition and multiple offspring
Gabriel Berzunza, Anja Sturm, Anita Winter
In this work we model the dynamics of a population that evolves as a continuous time branching process with a trait structure and ecological interactions in form of mutations and c…
The Algebraic Approach to Duality: An Introduction
Anja Sturm, Jan M. Swart, Florian Völlering
This survey article gives an elementary introduction to the algebraic approach to Markov process duality, as opposed to the pathwise approach. In the algebraic approach, a Markov g…
A new characterization of endogeny
Tibor Mach, Anja Sturm, Jan M. Swart
Aldous and Bandyopadhyay have shown that each solution to a recursive distributional equation (RDE) gives rise to recursive tree process (RTP), which is a sort of Markov chain in w…