Research

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Collaborators as a list

Publications and preprints

Computing extinction barriers in a quorum-sensing reaction network

Mario Ayala and Johannes Zimmer.
Submitted, 2026.
arXiv

Consumption-investment under alternative stochastic-integral conventions

Mario Ayala and Benjamín Vallejo Jiménez.
Submitted, 2026.
arXiv

Hydrodynamic limits and non-equilibrium fluctuations for the symmetric inclusion process with long jumps

Mario Ayala and Johannes Zimmer.
Annales Henri Poincaré, 27(7), 2685–2721, 2026.
Journal arXiv

Hydrodynamic limits of collisions and fluxes in the exclusion process

Mario Ayala and D. R. Michiel Renger.
Submitted, 2025.
arXiv

Reversibility, covariance and coarse-graining for Langevin dynamics: on the choice of multiplicative noise

Mario Ayala, Nicolas Dirr, Grigorios A. Pavliotis, and Johannes Zimmer.
Submitted, 2025.
arXiv mediaTUM

Mosco convergence of independent particles and applications to particle systems with self-duality

Mario Ayala.
Submitted, 2024.
arXiv

Group dispersal modelling revisited

Mario Ayala, Jérôme Coville, and Samuel Soubeyrand.
Submitted, 2024.
arXiv HAL

A measure-valued stochastic model for vector-borne viruses

Mario Ayala, Jérôme Coville, and Raphaël Forien.
ALEA Latin American Journal of Probability and Mathematical Statistics, 21, 1145–1193, 2024.
Journal PDF arXiv

Condensation of SIP particles and sticky Brownian motion

Mario Ayala, Gioia Carinci, and Frank Redig.
Journal of Statistical Physics, 183(3), article 40, 2021.
Journal arXiv

Higher order fluctuation fields and orthogonal duality polynomials

Mario Ayala, Gioia Carinci, and Frank Redig.
Electronic Journal of Probability, 26, article 27, 1–35, 2021.
Journal arXiv

Quantitative Boltzmann-Gibbs principles via orthogonal polynomial duality

Mario Ayala, Gioia Carinci, and Frank Redig.
Journal of Statistical Physics, 171(6), 980–999, 2018.
Journal arXiv

Other academic work

Fluctuations for interacting particle systems with duality

Mario Antonio Ayala Valenzuela.
PhD thesis, Delft University of Technology, 2021. Promotor Frank Redig, copromotor Gioia Carinci.

Hydrodynamic limit for the symmetric inclusion process

Mario Ayala.
MSc thesis, Delft University of Technology, 2016.

An epidemiological approach to the dynamics of chytridiomycosis on a harlequin frog population

Mario Ayala, Casandra Leann Pawling, Adrian Nicholas Smith, Linda Gao, David Hiebeler, and Benjamin Richard Morin.
Technical report, Mathematical and Theoretical Biology Institute (MTBI), Arizona State University, 2006.