1 citations · 2 across the 5 of their papers we have counts for
6 papers
Sampling schemes of multitype continuous-time Bienaymé-Galton-Watson trees and limiting critical genealogies
Osvaldo Angtuncio Hernández, Simon C. Harris, Juan Carlos Pardo
We study the genealogies of samples of distinguished particles drawn from the population alive at some fixed time in a continuous-time multitype Bienaymé-Galton-Watson (MBGW)…
Uniform sampling of multitype continuous-time Bienaymé-Galton-Watson trees
Osvaldo Angtuncio Hernández, Juan Carlos Pardo, Simon C. Harris
We study the genealogy of a sample of individuals taken uniformly without replacement from a continuous-time multitype Bienaymé--Galton--Watson process at fixed times. Our res…
Multitype Lévy trees as scaling limits of multitype Bienaymé-Galton-Watson trees
Osvaldo Angtuncio Hernández, David Clancy
We establish sufficient mild conditions for a sequence of multitype Bienaymé-Galton-Watson trees, conditioned in some sense to be large, to converge to a limiting compact metric s…
Fast Simulation of Size-Constrained Multitype Bienaymé-Galton-Watson Forests and Applications
Osvaldo Angtuncio Hernández
The degree sequence of a multitype forest with types encodes the number of individuals of type with children of type . In th…
Matrix Representations for Scale Functions of Spectrally Negative Lévy Processes with Rational Jumps
Osvaldo Angtuncio Hernández, Oscar Peralta
For a spectrally negative Lévy process with Laplace transform , the -scale function is characterized as the function whose Laplace transform is . It has…
Scaling limit of the Aldous-Broder chain on regular graphs: the transient regime
Osvaldo Angtuncio Hernández, Gabriel Berzunza Ojeda, Anita Winter
The continuum random tree is the scaling limit of the uniform spanning tree on the complete graph with vertices. The Aldous-Broder chain on a graph is a discrete-time…