5 citations · 8 across the 6 of their papers we have counts for
8 papers
How the interplay of dormancy and selection affects the wave of advance of an advantageous gene
Jochen Blath, Matthias Hammer, Dave Jacobi +1
In this paper we investigate the spread of advantageous genes in two variants of the F-KPP model with dormancy. The first variant, in which dormant individuals do not move in space…
The stochastic Fisher-KPP Equation with seed bank and on/off-branching-coalescing Brownian motion
Jochen Blath, Matthias Hammer, Florian Nie
We introduce a new class of stochastic partial differential equations (SPDEs) with seed bank modeling the spread of a beneficial allele in a spatial population where individuals ma…
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…
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…
Entrance laws for annihilating Brownian motions and the continuous-space voter model
Matthias Hammer, Marcel Ortgiese, Florian Völlering
Consider a system of particles moving independently as Brownian motions until two of them meet, when the colliding pair annihilates instantly. The construction of such a system of…
A new look at duality for the symbiotic branching model
Matthias Hammer, Marcel Ortgiese, Florian Völlering
The symbiotic branching model is a spatial population model describing the dynamics of two interacting types that can only branch if both types are present. A classical result for…
The infinite rate symbiotic branching model: from discrete to continuous space
Matthias Hammer, Marcel Ortgiese
The symbiotic branching model describes a spatial population consisting of two types that are allowed to migrate in space and branch locally only if both types are present. We cont…
The scaling limit of the interface of the continuous-space symbiotic branching model
Jochen Blath, Matthias Hammer, Marcel Ortgiese
The continuous-space symbiotic branching model describes the evolution of two interacting populations that can reproduce locally only in the simultaneous presence of each other. If…