Convergence of genealogies through spinal decomposition with an application to population genetics
F Foutel-Rodier, E Schertzer - Probability Theory and Related Fields, 2023 - Springer
Consider a branching Markov process with values in some general type space. Conditional
on survival up to generation N, the genealogy of the extant population defines a random …
on survival up to generation N, the genealogy of the extant population defines a random …
Reduction of the effective population size in a branching particle system in the moderate mutation-selection regime
F Boenkost, KA Khudiakova, J Tourniaire - arXiv preprint arXiv …, 2024 - arxiv.org
We consider a system of particles performing a one-dimensional dyadic branching Brownian
motion with positive drift $\beta\in (0, 1) $, branching rate 1/2, killed at $ L (\beta)> 0$, and …
motion with positive drift $\beta\in (0, 1) $, branching rate 1/2, killed at $ L (\beta)> 0$, and …
[图书][B] Probabilistic Structures in Evolution
E Baake, A Wakolbinger - 2021 - eurandom.tue.nl
EURANDOM PREPRINT SERIES 2019-008 July 1, 2019 Probabilistic Structures in Evolution
Chapter 1 A. Greven, F. den Hollander ISSN Page 1 EURANDOM PREPRINT SERIES …
Chapter 1 A. Greven, F. den Hollander ISSN Page 1 EURANDOM PREPRINT SERIES …
Branching Processes--A General Concept
A Greven, T Rippl, PK Glöde - arXiv preprint arXiv:1807.01921, 2018 - arxiv.org
The paper has four goals. First, we want to generalize the classical concept of the branching
property so that it becomes applicable for historical and genealogical processes (using the …
property so that it becomes applicable for historical and genealogical processes (using the …
Branching trees I: Concatenation and infinite divisibility
P Glöde, A Greven, T Rippl - 2019 - projecteuclid.org
The goal of this work is to decompose random populations with a genealogy in subfamilies
of a given degree of kinship and to obtain a notion of infinitely divisible genealogies. We …
of a given degree of kinship and to obtain a notion of infinitely divisible genealogies. We …
Stochastic evolution of genealogies of spatial populations: state description, characterization of dynamics and properties
A Depperschmidt, A Greven - Genealogies of Interacting Particle …, 2020 - World Scientific
We survey results on the description of stochastically evolving genealogies of populations
and marked genealogies of multitype populations or spatial populations via tree-valued …
and marked genealogies of multitype populations or spatial populations via tree-valued …
Stochastic Evolution of spatial populations: From configurations to genealogies and back
A Greven - arXiv preprint arXiv:1907.06965, 2019 - arxiv.org
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 …
the genealogies of these populations during the last decade by the author and his …