My main research interest is the relation between probability and analysis. Specifically, in probability, I am working with systems of interacting Brownian particles. In analysis, I am currently studying the Dirichlet to Neumann map on trees and convexity over discrete structures. I am also interested in the homogenization of processes with local and nonlocal interaction.
I also worked on statistical mechanics, Gibbs measures, and random permutations.
[5] Quasiconvex functions on regular trees (with Leandro M. Del Pezzo and Julio D. Rossi), Revista Colombiana de Matemáticas, 58(1), 1–24, (2024), link, arXiv link.
[4] Convex and quasiconvex functions in metric graphs (with Leandro M. Del Pezzo and Julio D. Rossi), Networks & Heterogeneous Media 16 (4), 591-607 (2021), link, arXiv link.
[3] Large-Scale 802.11 Wireless Networks Data Analysis based on Graph Clustering (with Germán Capdehourat, Paola Bermolen, Marcelo Fiori, Federico Larroca, Gastón Morales, Claudina Rattaro, Gianina Zunino), Wireless Personal Communications (120), 1791–1819 (2021), link.
[2] Convex envelopes on Trees (with Leandro M. Del Pezzo and Julio D. Rossi), Journal of Convex Analysis 27 (4), 1195--1218 (2020), link, arXiv link.
[1] Dirichlet-to-Neumann maps on Trees (with Leandro M. Del Pezzo and Julio D. Rossi), Potential Analysis 53, 1423–1447 (2020), link, arXiv link.
Gibbs measures over permutations of point processes with low density (with Inés Armendáriz and Pablo A. Ferrari), arXiv:1904.03952, arXiv link.
The evolution equation and the eigenvalue problem for the Laplacian in a regular tree (with Leandro M. Del Pezzo and Julio D. Rossi), arXiv:2506.13728, arXiv link.
I post here slides from some talks.
EDPs en estructuras discretas (in spanish).
El problema de inmersión de Skorokhod (in spanish).
¿Hasta cuándo mezclar cartas? (in spanish).