Research
Preprints:
The contact process on dynamical random trees with degree dependence (with Marcel Ortgiese, Marco Seiler and Anja Sturm). Available in arXiv: 2406.12689(2024)
The contact process with fitness on random trees (with Marcel Ortgiese). Available in arXiv: 2110.14537(2021)2
Papers:
Explosion rates for continuous state branching processes in a Lévy environment (with Juan Carlos Pardo). J Theor Probab (2024).
Speed of extinction for continuous state branching processes in subcritical Lévy environments: the strongly and intermediate regimes (with Juan Carlos Pardo). ALEA, Lat. Am. J. Probab. Math. Stat. 21, 741–766 (2024).
Rates on Yaglom's limit for Galton-Watson processes in a varying environment (with Arturo Jaramillo and Sandra Palau). ALEA, Lat. Am. J. Probab. Math. Stat. 21, 1-23 (2024).
Speed of extinction for continuous state branching processes in a weakly Lévy environment (with Juan Carlos Pardo). Journal of Applied Probability, First View, pp. 1 - 23, (2023).
Yaglom's limit for critical Galton-Watson processes in varying environment: A probabilistic approach (with Sandra Palau). Bernoulli 27 (2021), no. 3, 1643-1665.
1 2110.1453
Thesis:
PhD Thesis: Contributions to branching structures in random environments.
M.Sc Thesis: Procesos de Advección-Difusión en Grafos y su comportamiento asintótico (Advection - diffusion processes in graphs and their asymptotic behavior)
Current Research Topics:
Continuous-state branching process in Lévy environments.
Contact processes on random graphs.
Galton-Watson processes in varying environment.
Academic Visits:
September 2023 (two weeks), I visited Dr. Jan M. Swart at The Czech Academy of Sciences, Czech Republic.
August 2023 (two weeks), I visited Dr. Marcel Ortgiese at University of Bath, England.
August 2022 (two weeks), I visited Dr. Juan Carlos Pardo and Dr. Arturo Jaramillo at CIMAT, Mexico.
March 2020 -- August 2020, I was a visiting PhD student at University of Bath, England, under the supervision of Dr. Marcel Ortgiese.
December 2018 -- January 2020 (One week each month), I visited Dr. Sandra Palau at IIMAS (Universidad Nacional Autónoma de México), Mexico City.
Consulting:
Project: Motifs Frequencies of Biological Sequence. Genomic Laboratory. CINVESTAV, Mexico. June 2018. This project was done under the supervision of Dr. Cei Abreu Goodger.
Co-authors:
Arturo Jaramillo, Marcel Ortgiese, Sandra Palau, Juan Carlos Pardo, Marco Seiler, Anja Sturm