3 citations · 7 across the 14 of their papers we have counts for
22 papers
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…
Convergence of higher derivatives of random polynomials with independent roots
Jürgen Angst, Oanh Nguyen, Guillaume Poly
Let be a probability measure on , and let be the random polynomial whose zeros are sampled independently from . We study the asymptotic distribution of zero…
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, it…
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…
Roots of random trigonometric polynomials with general dependent coefficients
Jürgen Angst, Oanh Nguyen, Guillaume Poly
We consider random trigonometric polynomials with general dependent coefficients. We show that under mild hypotheses on the structure of dependence, the asymptotics as the degree g…
Concentration inequalities for the number of real zeros of Kac polynomials
Van Hao Can, Oanh Nguyen
We study concentration inequalities for the number of real roots of the classical Kac polynomials where are independent random variables…