Publications and Preprints

1. "Optimal bound for survival time of the SIRS process on star graphs" (with Oanh Nguyen and Iris Yang)
   Preprint, 2024 [arxiv]
   We resolve a conjecture regarding the upper bound of the survival time for the SIRS epidemic model on star graphs and establish a corresponding matching lower bound. This result provides a precise characterization of the survival time at the immediate neighbors of high-degree vertices, serving as one of the foundational steps towards understanding the behavior of the process on larger graph structures.

Undergraduate papers

1. "On the rate of escape or approach to the origin of a random string"
   Electronic Communications in Probability 27, 2022, 1-13. [link][arxiv]

2. "An Introduction to Completeness of Positive Linear Recurrence Sequences" (with Elżbieta Bołdyriew, John Haviland, John Lentfer, Steven J. Miller, and Fernando Trejos Suárez)
   The Fibonacci Quarterly, 58(5), 2020, 77–90. [link][arxiv]

3. "Completeness of Positive Linear Recurrence Sequences" (with Elżbieta Bołdyriew, John Haviland, John Lentfer, Steven J. Miller, and Fernando Trejos Suárez)
   Springer Proceedings in Mathematics & Statistics. [link][arxiv]