61 citations · 92 across the 27 of their papers we have counts for
7 papers · 1 filter
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…
Fixation and stationary times for the -Wright-Fisher process
Airam Blancas, Adrián González Casanova, Sebastian Hummel +1
We study the fixation and stationary behavior of the Lambda-Wright-Fisher process with parent-independent mutation and finitely many types, a jump-diffusion model for allele freque…
Non-equilibrium steady state of the symmetric exclusion process with reservoirs
Simone Floreani, Jhon Astoquillca, Adrián González Casanova
Consider the open symmetric exclusion process on a connected graph with vertexes in where points and are connected, respectively, to a left res…
Muller's ratchet in a near-critical regime: tournament versus fitness proportional selection
Jan Lukas Igelbrink, Adrián González Casanova, Charline Smadi +1
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…
The ancestral selection graph for a -asymmetric Moran model
Adrián González Casanova, Noemi Kurt, José Luis Pérez
Motivated by the question of the impact of selective advantage in populations with skewed reproduction mechanims, we study a Moran model with selection. We assume that there are tw…
Lookdown construction for a Moran seed-bank model
Maria Clara Fittipaldi, Adrián González Casanova, Julio Ernesto Nava
We present a lookdown construction for a Moran seed-bank model with variable active and inactive population sizes and we show that the empirical measure of our model coincides with…
Alpha-stable branching and beta-Frequency processes, beyond the IID assumption
Adrián González Casanova, Imanol Nuñez, J. -L. Pérez
Birkner et al. obtained necessary and sufficient conditions for the frequency between two independent and identically distributed continuous-state branching processes time-changed…