Héctor Olivero Q.

Currently, I am an Associate Professor at the Mathematical Engineering Institute at the Faculty of Engineering at the Universidad de Valparaíso and a member of the research center CIMFAV-UV . Previously, from September 2017 to July 2018, I held a Postdoctoral Position at INRIA Sophia Antipolis - Méditerranée, where my host was Denis Talay. From March 2018 to March 2021, I developed a FONDECYT Postdoctoral Research Project with the sponsorship of Gregorio Moreno.

In 2016, I completed my Ph.D. in Mathematical Modeling at Universidad de Chile under the supervision of Joaquin Fontbona . During my Ph.D. thesis, I also worked with Mireille Bossy . Before that, in 2011, I completed my Mathematical Engineering degree at Universidad de Chile, also under the supervision of Joaquín Fontbona.

Research projects

Currently I am a researcher at the following projects:

1. MathAmSud project Nº240054: Cha2man: Stochasticity & Chaos in Multiscale Phenomena led by Mireille Bossy.
2. ANID Fondecyt Regular Nº13220168: "Propagation of chaos for mean-field interacting particle systems in mathematical physics and mathematical biology" led by Joaquín Fontbona.
3. INRIA Associated Team: "Swam: Seas, waves and Ecosystems" led by Mireille Bossy.

Publications

1. Wright--Fisher kernels: from linear to non-linear dynamics, ergodicity and McKean--Vlasov scaling limits.
   Cordero, Fernando; Jorquera, Christian; Olivero, Héctor; Videla, Leonardo.
   Electronic Journal of Probability 2026, Vol. 31, paper no. 58, 1-49. doi: 10.1214/26-EJP1511.
   Also available in arXiv.
2. A hypothesis test for the domain of attraction of a random variable.
   Olivero, Héctor; Talay Denis.
   ESAIM: PS, 28 (2024) 292-328. doi: https://doi.org/10.1051/ps/2024010.
   Available also in arXiv.
3. 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.
4. 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.

Preprints

1. Simple repair policies and decompositions for semi-coherent systems with simultaneous failures.
   Guido Lagos, Jorge Navarro, Héctor Olivero
   Available in arXiv.
2. Age-structured stochastic populations under dynamic harvesters' behavior: well-posedness, asymptotic stability and numerically-amenable approximations.
   M. Isidora Ávila-Thieme, Kerlyns Martínez, Héctor Olivero, Mauricio Tejo, Leonardo Videla
   Available in arXiv.
3. Supplementary Material to ``A hypothesis test for the domain of attraction of a random variable''.
   Olivero, Héctor; Talay Denis.
   Available in HAL.

Students

Undergraduate Students:

1. Javier Andrades , Mathematical Engineering program at the University of Valparaíso.
   Co-supervised with Karine Bertin. Expected graduation in December 2026.
2. Sebastián Contreras, Mathematical Engineering program at the University of Valparaíso.
   Co-supervised with Gerardo Honorato and Eyleen Spencer. Expected graduation in July 2026.
3. Johnny Huincahue, Mathematical Engineering program at the University of Valparaíso.
   Graduated in January 2026.
4. Francisco Bernal, Mathematical Engineering program at the University of Valparaíso.
   Co-supervised with Kerlyns Martinez (UdeC). Graduated in August 2025.
5. Cristobal Reyes, Mathematical Engineering program at the University of Valparaíso .
   Co-supervised with Guido Lagos (UAI). Graduated in March 2025.
6. Tomás Taucare, Statistical Engineering program at the University of Santiago.
   Co-supervised with Andrés Iturriaga (USACH). Graduated in April 2024.
7. Sergio Pincheira, Mathematical Engineering program at the University of Valparaíso.
   Co-supervised with Lisandro Fermín (UV). Graduated in April 2024.

Postgraduate Students (Doctoral):

1. Eduardo Gutiérrez, Doctoral Program in Statistics at the University of Valparaíso.
   Co-supervised with Kerlyns Martinez (UdeC). Expected graduation in July 2026.

Acknowledgements

Since I started my Ph.D., several institutions and project have supported my research. To all of them, my deepest gratitude:

• Proyecto Mecesup UCH0607.
• Dirección de Postgrado y Postítulo de la Vicerrectoría de Asuntos Académicos de la Universidad de Chile.
• Instituto Francés de Chile - Embajada de Francia en Chile.
• Research center INRIA Sophia Antipolis Méditerranée, France.
• Center for Mathematical Modeling CMM. Chile.
• Núcleo Milenio Stochastic Models of Complex and Disordered Systems: PROYECTO NUCLEO MILENIO NC 130062.
• NLHPC (ECM-02), Conicyt.
• Beca Chile de Postdoctorado en el Extranjero. (CONICYT).
• ANID
• ANID Exploracion project 13220168: “Biological and Quantum Open System Dynamics: evolution, innovation and mathematical foundations” led by Rolando Rebolledo and Pablo Marquet.

Some random thoughts (some of them in spanish).