Research

Projects

• FONDECYT Postdoctoral Grant Nº 3180777: “Theoretical and Numerical Analysis of some Applied Stochastic Models” (2018-2020) with the sponsoring of Gregorio Moreno.

Publications in journals

1. Strong convergence of the symmetrized Milstein scheme for some CEV-like SDEs. Bossy, Mireille; Olivero, Héctor. Bernoulli 24 (2018), no. 3, 1995--2042. doi:10.3150/16-BEJ918. Also available in Arxiv.

2. Synchronization of stochastic mean field networks of Hodgkin-Huxley neurons with noisy channels. Bossy, Mireille; Fontbona, Joaquín; Olivero, Héctor. Journal of Mathematical Biology, 78(6), 1771-1820. doi:10.1007/s00285-019-01326-7. Also available in Arxiv.

Preprints

1. An hypothesis test for the domain of attraction of a random variable. Olivero, Héctor; Talay Denis.
   Available in Arxiv.

PhD Thesis

“Strong convergence of a Milstein scheme for a CEV-like SDE and some contributions to the analysis of the stochastic Morris Lecar neuron model”

Advisor: Joaquín Fontbona T.

Universidad de Chile. Santiago, Chile.