3 papers
math.PR2026
Supercriticality of the SIRS on random networks
Phuc Lam, Oanh Nguyen
We study how long the SIRS process persists or how quickly it reaches extinction across various network topologies. Our results provide a three-part characterization of this proces…
math.PR2025
On the First Non-Universal Term in Random Polynomial Real Zeros
Phuc Lam, Oanh Nguyen
Let be a Kac random polynomial, where the coefficients are i.i.d.\ copies of a given random variable . Based on numerical experiments,…
math.PR2025
Optimal bound for survival time of the SIRS process on star graphs
Phuc Lam, Oanh Nguyen, Iris Yang
We analyze the Susceptible-Infected-Recovered-Susceptible (SIRS) process, a continuous-time Markov chain frequently employed in epidemiology to model the spread of infections on ne…