49 citations · 110 across the 24 of their papers we have counts for
27 papers
The grapheme-valued Wright-Fisher diffusion with mutation
Andreas Greven, Frank den Hollander, Anton Klimovsky +1
In [Athreya, den Hollander, Röllin; 2021, arXiv:1908.06241] models from population genetics were used to define stochastic dynamics in the space of graphons arising as continuum li…
Spatial populations with seed-bank: finite-systems scheme
Andreas Greven, Frank den Hollander
We consider a system of interacting Fisher-Wright diffusions with seed-bank. Individuals carry type one of two types, live in colonies, and are subject to resampling and migration…
Spatial Populations with seed-bank: renormalisation on the hierarchical group
Andreas Greven, Frank den Hollander, Margriet Oomen
We consider a system of interacting diffusions labeled by a geographic space that is given by the hierarchical group of order . Individuals live in colonies a…
Spatial populations with seed-bank: well-posedness, duality and equilibrium
Andreas Greven, Frank den Hollander, Margriet Oomen
We consider a system of interacting Fisher-Wright diffusions with seed-bank. Individuals live in colonies and are subject to resampling and migration as long as they are active. Ea…
Stochastic Evolution of spatial populations: From configurations to genealogies and back
Andreas Greven
The paper reviews the results obtained for spatial population models and the evolution of the genealogies of these populations during the last decade by the author and his coworker…
Genealogy-valued Feller diffusion
Andrej Depperschmidt, Andreas Greven
We consider the evolution of the genealogy of the population currently alive in a Feller branching diffusion model. In contrast to the approach via labeled trees in the continuum r…