84 citations · 125 across the 10 of their papers we have counts for
11 papers
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…
Invariance principles for clocks
Maria-Emilia Caballero, Alain Rouault
We show an invariance principle for rescaled clocks of positive semi-stable Markov processes, proving a conjecture presented in Remark 4 in Demni, Rouault, Zani [11], 2015.
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…
Scaling limits of bisexual Galton-Watson processes
Vincent Bansaye, Maria-Emilia Caballero, Sylvie Méléard +1
Bisexual Galton-Watson processes are discrete Markov chains where reproduction events are due to mating of males and females. Owing to this interaction, the standard branching prop…
Scaling limits of general population processes - Wright-Fisher and branching processes in random environment
Vincent Bansaye, Maria-Emilia Caballero, Sylvie Méléard
Our motivation comes from the large population approximation of individual based models in population dynamics and population genetics. We propose a general method to investigate s…
Affine processes on and multiparameter time changes
Ma. Emilia Caballero, José Luis Pérez Garmendia, Gerónimo Uribe Bravo
We present a time change construction of affine processes with state-space . These processes were systematically studied in (Duffie, Filipović an…