Mathematical Enginner (Universidad de Chile); Ph.D. in Mathematics (Universidad Católica de Valparaíso and Universidad Federico Santa María)
Current position: Universidad de Santiago de Chile, Department of Mathematics and Computer Science.
Current Projects
FONDECYT Initiation (ANID funding) project number 11240158-2024 "Adaptive behavior in stochastic population dynamics and non-linear Markov processes in ecoevolutionary modeling", Principal Investigator (2024-2026).
ANID Exploración, project number 13220168-2023 "Biological and quantum Open System Dynamics: evolution, innovation and mathematical foundations", Co-PI (2023-2025). Link to the site: https://sites.google.com/view/anid-exploracion-13220168/inicio?authuser=0
INRIA "Équipe Associée" aStoNiche: "Hacia una teoría estocástica de la construcción de nichos", Investigator (2024-2026) Link to INRIA site: https://inria.cl/es/astoniche-hacia-una-teoria-estocastica-de-la-construccion-de-nichos
Research Papers
Champagnat, N., Marquet P., Quiñinao C., Rebolledo, R, Tejo, M., Videla, L. (2025 ) On ecological models with sublinear growth. HAL Id: hal-05156816 [HAL]
Cordero, F., Jorquera, C., Olivero, H, and Videla, L. (2024) Wright-Fisher kernels: from linear to non-linear dynamics, ergodicity and McKean--Vlasov scaling limits, arXiv preprint. [arXiv]
Videla, L., Tejo, M., Quiñinao, C., Marquet, P. and Rebolledo, R. (2024) Persistence and neutrality in interacting replicator dynamics. J.Math.Biol. 90, 15 [arXiv] [publisher site]
Videla, L. A transport process on graphs and its limiting distributions. Journal of Applied Probability, 60(1):341–357, 2023. doi: 10.1017/jpr.2022.47. [publisher site]
Videla, L. Strong stochastic persistence of some Lévy-driven Lotka–Volterra systems. J. Math. Biol. 84, 11 (2022). https://doi.org/10.1007/s00285-022-01714-6. [publisher site]
Videla, L., Rebolledo, R. Evolving Systems of Stochastic Differential Equations. J Theor Probab 35, 1662–1705 (2022). https://doi.org/10.1007/s10959-021-01098-1 [publisher site]
Videla, L. Out-of-equilibrium random walks. Advances in Applied Probability. 2020;52(3):772-797. doi:10.1017/apr.2020.23 [publisher site]
Videla, L. (2019). On the expected maximum of a birth-and-death process. Statistcs & Probability Letters 158: 108665. [publisher site]
Cofré, R., Rosas, F. and Videla, L. (2019) An Introduction to the Non-Equilibrium Steady States of Maximum Entropy Spike Trains. Entropy 2019, 21(9) [publisher site]
Hart, A, Martínez S., Videla L. A simple maximization model inspired by algorithms for the organization of genetic candidates in bacterial DNA. Advances in Applied Probability. 2006;38(4):1071-1097. [publisher site]
During the last years I've been colaborating in interdisciplinary efforts regarding climate change (more precisely, AMOC dynamics under global warming scenarios), ecological models with sublinear growth, and stochastic modeling of socio-ecological behavior in the context of fisheries: soon some news regarding these issues...
My collaborators
Héctor Olivero (Universidad de Valparaíso)
Pablo Marquet (Pontificia Universidad Católica de Chile)
Fernando Cordero (BOKU University, Vienna)
Rolando Rebolledo (Universidad de Valparaíso)
Cristóbal Quiñinao (Pontificia Universidad Católica de Chile)
Nicolas Champagnat (Université de Lorraine, Nancy, France)
Nicolás Zalduendo (INRAE, Montpellier, France, and CMM, University of Chile)
Teaching
During the last few years I've lectured on Probability (Mathematical Engineering, USACH) and Functional Analysis (Ph.D. in Mathematics, USACH).
Since 2022 I am in charge of the course Probability at Universidad de Santiago de Chile. Here are some lecture notes. Suggestions are welcome.