2 papers
math.PR2019
Ergodic branching diffusions with immigration: properties of invariant occupation measure, identification of particles under high-frequency observation, and estimation of the diffusion coefficient at nonparametric rates
Matthias Hammer, Reinhard Höpfner, Tobias Berg
In branching diffusions with immigration (BDI), particles travel on independent diffusion paths in , branch at position-dependent rates and leave offspring -- randoml…
math.PR2018
Coexistence and duality in competing species models
Yu-Ting Chen, Matthias Hammer
We discuss some stochastic spatial generalizations of the Lotka--Volterra model for competing species. The generalizations take the forms of spin systems on general discrete sets a…