Research

Papers

Papers are listed in reverse chronological order by appearance on the arXiv. See also the publication list on the arXiv.

Chase-escape with conversion as a multiple sclerosis lesion model

Emma Bailey, Erin Beckman, Saraí Hernández-Torres, Matthew Junge, Aanjaneya Kumar, Ann Lee*, Danny Li*, Alisher Raufov*, Lily Reeves, Omer Rondel*

Preprint, arXiv:2507.21235.

arXivPDF

Allele trees for the mother-dependent neutral mutations model and their scaling limits in the rare mutations regime

Airam Blancas, María Clara Fittipaldi, Saraí Hernández-Torres

Preprint, arXiv:2504.20030.

arXivPDF

Crossing bridges between percolation models and Bienaymé-Galton-Watson trees

Airam Blancas, María Clara Fittipaldi, Saraí Hernández-Torres

XIV Symposium on Probability and Stochastic Processes, Progress in Probability, 2025, Vol 81, 103-132, Birkhäuser Cham.

arXivPDF

Sharp one-point estimates and Minkowski content for the scaling limit of three-dimensional loop-erased random walk

Saraí Hernández-Torres, Xinyi Li, Daisuke Shiraishi

Annales de l'Institut Henri Poincare (B) Probability and Statistics, to appear.

arXivPDFSlidesVideo

Distance-dependent chase-escape on trees

Saraí Hernández-Torres, Matthew Junge, Naina Ray*, Nidhi Ray*

New Zealand Journal of Mathematics, 2024, Vol. 55, 31–41.

JournalarXivPDF

The chemical distance in random interlacements in the low-intensity regime

Saraí Hernández-Torres, Eviatar B. Procaccia, Ron Rosenthal

Communications in Mathematical Physics, 2023, Vol. 400, 1697–1737.

JournalarXivPDFSlides

Scaling limits of the three-dimensional uniform spanning tree and the associated random walk

Omer Angel, David Croydon, Saraí Hernández-Torres, Daisuke Shiraishi

The Annals of Probability, 2021, Vol. 49, No. 6, 3032–3105.

JournalarXivPDFSlidesVideo

The number of spanning clusters of the uniform spanning tree in three dimensions

Omer Angel, David Croydon, Saraí Hernández-Torres, Daisuke Shiraishi

Advanced Studies in Pure Mathematics, 2021: 403-414 (2021)
(Stochastic Analysis, Random Fields and Integrable Probability — Fukuoka 2019. Vol. 87).

JournalarXivPDF

Chase-escape with death on trees

Erin Beckman, Keisha Cook, Nicole Eikmeier, Saraí Hernández-Torres, Matthew Junge

The Annals of Probability, 2021, Vol. 49, No. 5, 2530-2547.

JournalarXivPDFSlides

Other writing

Theses

A macroscopic view of two discrete random models

PhD thesis. Supervisors: Omer Angel and Martin Barlow.

UBC librarySlides

Introducción a los espacios de Bergman (Introduction to Bergman spaces)

Undergraduate thesis. Supervisor: Fernando Galaz Fontes.

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