3 papers
math.PR2024
Branching processes with pairwise interactions
Gabriel Berzunza Ojeda, Juan Carlos Pardo
In this manuscript, we are interested in the long-term behaviour of branching processes with pairwise interactions (BPI-processes). A process in this class behaves as a pure branch…
math.PR2024
The coalescent structure of Galton-Watson trees in varying environments
Simon C. Harris, Sandra Palau, Juan Carlos Pardo
We investigate the genealogy of a sample of particles chosen uniformly without replacement from a population alive at large times in a critical discrete-time Galton-Watson…
math-ph2024
Cutoff ergodicity bounds in Wasserstein distance for a viscous energy shell model with Lévy noise
Gerardo Barrera, Michael A. Högele, Juan Carlos Pardo +1
This article establishes explicit non-asymptotic ergodic bounds in the renormalized Wasserstein-Kantorovich-Rubinstein (WKR) distance for a viscous energy shell lattice model of tu…