10 citations · 13 across the 8 of their papers we have counts for
10 papers
The Q-process for the general mother-dependent multitype branching process
Airam Blancas, María Clara Fittipaldi, Saraí Hernández-Torres
The general mother-dependent neutral mutations model is a multitype branching process describing a population evolving in discrete time, in which mutations occur among a finite set…
Microscopic Weak Selection Principle for the Logistic Branching Brownian Motion with selection
F. E. Bravo Lozano, M. C. Fittipaldi
In this work, we present the logistic branching Brownian motion with selection (Log-BBM), a modification of the N-BBM defined by Groisman et. al (2020), in which birth and competit…
-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…
Scaling limits for allelic subfamilies in a mother-dependent multitype branching process
Airam Blancas, Maria Clara Fittipaldi, Sarai Hernandez-Torres
The mother-dependent neutral mutations model describes the evolution of a population across discrete generations in which every individual carries one of alleles and each mutan…
Crossing bridges between percolation models and Bienaymé-Galton-Watson trees
Airam Blancas, María Clara Fittipaldi, Saraí Hernández-Torres
In this survey, we explore the connections between two areas of probability: percolation theory and population genetic models. Our first goal is to highlight a construction on Galt…
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…
On multitype Branching Processes with Interaction
Maria Clara Fittipaldi, Sandra Palau
Motivated by the stochastic Lotka-Volterra model, we introduce discrete-state interacting multitype branching processes. We show that they can be obtained as the sum of a multidime…
Convergence properties of many parallel servers under power-of-D load balancing
Maria Clara Fittipaldi, Matthieu Jonckheere, Sergio I. Lopez
We consider a system of N queues with decentralized load balancing such as power-of-D strategies(where D may depend on N) and generic scheduling disciplines. To measure the depende…
Ray-Knight representation of flows of branching processes with competition by pruning of Lévy trees
Julien Berestycki, Maria Clara Fittipaldi, Joaquin Fontbona
We introduce flows of branching processes with competition, which describe the evolution of general continuous state branching populations in which interactions between individuals…
On SDE associated with continuous-state branching processes conditioned to never be extinct
M. C. Fittipaldi, J. Fontbona
We study the pathwise description of a (sub-)critical continuous-state branching process (CSBP) conditioned to be never extinct, as the solution to a stochastic differential equati…