61 citations · 92 across the 27 of their papers we have counts for
34 papers
The broadcast voter model: Stationary measures
Jhon Astoquillca, Adrián González Casanova, Renato S. dos Santos
The classical voter model is dual to coalescing random walks, in much the same way that the Kingman coalescent describes genealogies through binary mergers. Motivated by the passag…
From Individual-Based Models to General Stochastic Reaction Diffusion Equations
Adrián González Casanova, Johnny, Yang
In this article, we construct, for a broad class of one-dimensional stochastic reaction-diffusion equations, a sequence of spatially-structured individual-based models whose rescal…
Moment duality and propagation of exchangeability
Adrián González Casanova, Ariel Offenstadt, Arno Siri-Jégousse
We identify necessary and sufficient conditions for a class of random mappings to send exchangeable -sequences to other exchangeable -sequences. We call this prop…
-Seed-Bank-Wright-Fisher process conditioned on fixation
María Clara Fittipaldi, Adrián González Casanova, Julio Ernesto Nava Trejo
We investigate the -Seed-Bank-Wright-Fisher process, a model describing allele frequency dynamics in populations exhibiting both skewed offspring distributions and dormancy. By…
Partially exchangeable Markov chains and characterisation of multitype Lambda-coalescents
Adrián González Casanova, Noemi Kurt, Imanol Nuñez Morales +1
In this paper, we study consistent and partially exchangeable sequences of Markov chains on a finite state space. We provide a characterisation of the admissible transition rates v…
Point process convergence of extremes in -symmetric exclusion
Michael Conroy, Adrián González Casanova, Sunder Sethuraman
We consider the behavior of extremal particles in -symmetric exclusion on when the process starts from certain infinite-particle step configurations where there are…
Multitype -coalescents and continuous state branching processes
Adrián González Casanova, Noemi Kurt, Imanol Nuñez Morales +1
We provide new connections between multitype -coalescents and multitype continuous state branching processes via duality and a homeomorphism on their parameter space. The approa…
Two waves of adaptation: speciation induced by dormancy in a model with changing environment
Fernando Cordero, Adrián González Casanova, Jason Schweinsberg
We consider a population model in which the season alternates between winter and summer, and individuals can acquire mutations either that are advantageous in the summer and disadv…
From clonal interference to Poissonian interacting trajectories
Felix Hermann, Adrián Gonzalez Casanova, Renato Soares dos Santos +2
We consider a population whose size is fixed over the generations, and in which random beneficial mutations arrive at a rate of order per generation. In this so-call…
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…
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…
Seed bank Cannings Graphs: How dormancy smoothes random genetic drift
Adrián González Casanova, Lizbeth Peñaloza, Arno Siri-Jégousse
In this article, we introduce a random (directed) graph model for the simultaneous forwards and backwards description of a rather broad class of Cannings models with a seed bank me…
Asymptotics of the frequency spectrum for general Dirichlet Xi-coalescents
Adrian Gonzalez Casanova, Veronica Miro Pina, Emmanuel Schertzer +1
In this work, we study general Dirichlet coalescents, which are a family of Xi-coalecents constructed from i.i.d mass partitions, and are an extension of the symmetric coalescent.…
Scaling limit of an adaptive contact process
Adrián González Casanova, András Tóbiás, Daniel Valesin
We introduce and study an interacting particle system evolving on the -dimensional torus . Each vertex of the torus can be either empty or occupied by…
Two-type branching processes with immigration, and the structured coalescents
María Emilia Caballero, Adrián González Casanova, José Luis Pérez
We consider a population constituted by two types of individuals; each of them can produce offspring in two different islands (as a particular case the islands can be interpreted a…
The relative frequency between two continuous-state branching processes with immigration and their genealogy
María Emilia Caballero, Adrián González Casanova, José-Luis Pérez
When two (possibly different in distribution) continuous-state branching processes with immigration are present, we study the relative frequency of one of them when the total mass…
-coalescents arising in populations with dormancy
Fernando Cordero, Adrián González Casanova, Jason Schweinsberg +1
Consider a population evolving from year to year through three seasons: spring, summer and winter. Every spring starts with dormant individuals waking up independently of each…
Particle systems with coordination
Adrián González Casanova, Noemi Kurt, András Tóbiás
We consider a generalization of spatial branching coalescing processes in which the behaviour of individuals is not (necessarily) independent, on the contrary, individuals tend to…