Publications

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Publications and preprints

Consumption–Investment with anticipative noise
Mario Ayala and Benjamín Vallejo Jiménez.
Preprint, 2026.
arXiv
Hydrodynamic limits of collisions and fluxes in the exclusion process
Mario Ayala and D. R. Michiel Renger.
Preprint, 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.
Preprint, 2025.
arXiv TUM record
Hydrodynamic Limits and Non-equilibrium Fluctuations for the Symmetric Inclusion Process with Long Jumps
Mario Ayala and Johannes Zimmer.
Annales Henri Poincaré, 2025.
Journal arXiv
Mosco convergence of independent particles and applications to particle systems with self-duality
Mario Ayala.
Preprint, 2024.
arXiv
Group Dispersal Modelling Revisited
Mario Ayala, Jérôme Coville, and Samuel Soubeyrand.
Preprint, 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, 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, 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.
Hydrodynamic Limit for the Symmetric Inclusion Process
Mario Ayala.
Master's 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, 2006.