3 citations · 3 across the 6 of their papers we have counts for
6 papers · 1 filter
The tournament ratchet's clicktime process, and metastability in a Moran model
Jan Lukas Igelbrink, Charline Smadi, Anton Wakolbinger
Muller's ratchet, in its prototype version, models a haploid, asexual population whose size~ is constant over the generations. Slightly deleterious mutations are acquired along…
Effect of stochasticity on the growth of the infty-parent SLFV process
Jan Lukas Igelbrink, Apolline Louvet
We explore the impact of different forms of stochasticity on the expansion dynamics of a stochastic growth model called the -parent spatial -Fleming Viot process. This p…
Branching fractional Brownian motion: discrete approximations and maximal displacement
Adrián González Casanova, Jan Lukas Igelbrink
We construct and study branching fractional Brownian motion with Hurst parameter . The construction relies on a generalization of the discrete approximation of fractio…
Ancestral reproductive bias in continuous time branching trees under various sampling schemes
Jan Lukas Igelbrink, Jasper Ischebeck
Cheek and Johnston (Journal of Mathematical Biology, 2023) consider a continuous-time Bienaymé-Galton-Watson tree conditioned on being alive at time . They study the reproductio…
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…
TAP equations are repulsive
Stephan Gufler, Jan Lukas Igelbrink, Nicola Kistler
We show that for low enough temperatures, but still above the AT line, the Jacobian of the TAP equations for the SK model has a macroscopic fraction of eigenvalues outside the unit…