30 citations · 173 across the 28 of their papers we have counts for
35 papers
Quasi-equilibria and click times for a variant of Muller's ratchet
Adrian Gonzalez Casanova, Charline Smadi, Anton Wakolbinger
Consider a population of individuals, each of them carrying a type in . The population evolves according to a Moran dynamics with selection and mutation, where an…
A diploid population model for copy number variation of genetic elements
Peter Pfaffelhuber, Anton Wakolbinger
We study the following model for a diploid population of constant size : Every individual carries a random number of (genetic) elements. Upon a reproduction event each of the tw…
Asymptotic Gaussianity via coalescence probabilities in the Hammond-Sheffield urn
Jan Lukas Igelbrink, Anton Wakolbinger
For the renormalised sums of the random -colouring of the connected components of generated by the coalescing renewal processes in the "power law Pólya's urn" of…
Evolving genealogies for branching populations under selection and competition
Airam Blancas, Stephan Gufler, Sandra Kliem +2
For a continuous state branching process with two types of individuals which are subject to selection and density dependent competition, we characterize the joint evolution of popu…
Haldane's formula in Cannings models: The case of moderately strong selection
Florin Boenkost, Adrián González Casanova, Cornelia Pokalyuk +1
For a class of Cannings models we prove Haldane's formula, , for the fixation probability of a single beneficial mutant in the limit of large populati…
Microbial populations under selection
Ellen Baake, Anton Wakolbinger
This chapter gives a synopsis of recent approaches to model and analyse the evolution of microbial populations under selection. The first part reviews two population genetic models…