Current Occupation
I am currently an Assistant Professor at the Institue of Mathematics and Statistics of USP (University of São Paulo), and I did my PhD in probability theory under the supervision of late Antonio Galves — my PhD thesis can be found here. Moreover I participate in the NeuroMat Project. The aim of the project is to develop a new approach to neuroscience — neuromathematics — conjoining probability theory, combinatorics, statistics, computer science, and neuroscience itself, in order to construct a theory of the brain that accounts for the experimental data gathered by neuroscientific research over the last decades, and more importantly for the recently emerging scientific evidence that biological neural networks behave in an inherently stochastic manner. My main scientific interests lie primarily in the realm of stochastic processes, statistical physics, and statistical/machine learning. My own work concerns past-dependent stochastic dynamics — such as the Galves-Löcherbach model and Elephant Random Walks — with a particular focus on phase transitions and metastability.
Professional address: NUMEC, Av. Prof. Luciano Gualberto, 1046-1242 - Butantã, São Paulo - SP, 05508-010
Email: [first name].[last name] at usp.br
ORCID: https://orcid.org/0000-0002-2559-0399
Google scholar: https://scholar.google.com/citations?user=zf6lUwYAAAAJ&hl=fr
Research topics
- Interacting particles systems
- Point processes
- Phase transition
- Metastability
- Quasi-stationnarity
- Percolation theory
Publications
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A Result of Metastability for an Infinite System of Spiking Neurons [pdf]