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Branching random motions, nonlinear hyperbolic systems and traveling waves
(Editorial Universidad del RosarioUniversidad del Rosario. Facultad de Economía, 2004)
On SDE associated with continuous-state branching processes conditioned to never be extinct
(2012)
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 equation driven by Brownian
motion and Poisson ...
Plant functional types in Brazilian savannas: The niche partitioning between herbaceous and woody species
(Elsevier Gmbh, Urban & Fischer VerlagJenaAlemanha, 2011)
F-KPP Scaling limit and selection principle for a Brunet-Derrida type particle system
(Cornell University, 2019-03)
We study a particle system with the following diffusion-branching-selection mechanism. Particles perform independent one dimensional Brownian motions and on top of that, at a constant rate, a pair of particles is chosen ...
Quantitative large population approximations for stochastic models with interaction or varying environmentAproximaciones cuantitativas de grandes poblaciones para modelos estocásticos con interacción o medio variable
(2021)
This thesis focuses on the study of stochastic population models composed of individuals interacting between them or with the environment. In a first part, we consider cross-diffusion systems for two species. We develop a ...
Front propagation and quasi-stationary distributions: two faces of the same coin?
(Springer, 2019)
We analyze the connection between front propagation and quasi-stationary distributions in translation invariant one-dimensional Markov processes. We describe the link between them through the microscopic models known as ...
Phylogenetic tree shape and the structure of mutualistic networks
(Wiley Blackwell Publishing, Inc, 2014-06)
Summary: Species community composition is known to alter the network of interactions between two trophic levels, potentially affecting its functioning (e.g. plant pollination success) and the stability of communities. ...
Quantum randomness and quantum measurement in a unitary setting
(Universidad Nacional de ColombiaBogotá - Ciencias - Doctorado en Ciencias - FísicaFacultad de CienciasBogotá, ColombiaUniversidad Nacional de Colombia - Sede Bogotá, 2023-02-01)
In this thesis a novel approach towards quantum measurement and quantum randomness, within the framework of unitary time evolution, is proposed. Spin measurements are simulated by coupling the spin to an environment modeled ...