33 citations · 64 across the 21 of their papers we have counts for
25 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…
Hole radii for the Kac polynomials and derivatives
Hoi H. Nguyen, Oanh Nguyen
The Kac polynomial with independent coefficients of variance 1 is one of the most studied models of random polynomials. It is well-known that th…
Real roots of random orthogonal polynomials with exponential weights
Yen Do, Doron Lubinsky, Hoi H. Nguyen +2
We consider random orthonormal polynomials where , . . . , are independent random variables with zero mean, unit variance…
Subcritical epidemics on random graphs
Oanh Nguyen, Allan Sly
We study the contact process on random graphs with low infection rate . For random -regular graphs, it is known that the survival time is below the critical …
The number of limit cycles bifurcating from a randomly perturbed center
Manjunath Krishnapur, Erik Lundberg, Oanh Nguyen
We consider the average number of limit cycles that bifurcate from a randomly perturbed linear center where the perturbation consists of random (bivariate) polynomials with indepen…
Central Limit Theorem for the number of real roots of random orthogonal polynomials
Yen Do, Hoi H. Nguyen, Oanh Nguyen +1
In this note we study the number of real roots of a wide class of random orthogonal polynomials with gaussian coefficients. Using the method of Wiener Chaos we show that the fluctu…
Random orthonormal polynomials: local universality and expected number of real roots
Yen Do, Oanh Nguyen, Van Vu
We consider random orthonormal polynomials where , \dots, are independent random variables with zero mean, unit variance…
On the spectrum of random walks on complete finite -ary trees
Evita Nestoridi, Oanh Nguyen
In the present paper, we determine the full spectrum of the simple random walk on finite, complete -ary trees. We also find an eigenbasis for the transition matrix. As an applic…
Random trigonometric polynomials: universality and non-universality of the variance for the number of real roots
Yen Do, Hoi H. Nguyen, Oanh Nguyen
In this paper, we study the number of real roots of random trigonometric polynomials with iid coefficients. When the coefficients have zero mean, unit variance and some finite high…
Critical value asymptotics for the contact process on random graphs
Danny Nam, Oanh Nguyen, Allan Sly
Recent progress in the study of the contact process [2] has verified that the extinction-survival threshold on a Galton-Watson tree is strictly positive if and only if the of…
Random polynomials: central limit theorems for the real roots
Oanh Nguyen, Van Vu
The number of real roots has been a central subject in the theory of random polynomials and random functions since the fundamental papers of Littlewood-Offord and Kac in the 1940s.…
Survival and extinction of epidemics on random graphs with general degrees
Shankar Bhamidi, Danny Nam, Oanh Nguyen +1
In this paper, we establish the necessary and sufficient criterion for the contact process on Galton-Watson trees (resp. random graphs) to exhibit the phase of extinction (resp. sh…
On the mixing time of the Diaconis--Gangolli random walk on contingency tables over
Evita Nestoridi, Oanh Nguyen
The Diaconis--Gangolli random walk is an algorithm that generates an almost uniform random graph with prescribed degrees. In this paper, we study the mixing time of the Diaconis--G…
Roots of random functions: A framework for local universality
Oanh Nguyen, Van Vu
We investigate the local distribution of roots of random functions of the form , where are independent random variables and are a…
Random eigenfunctions on flat tori: universality for the number of intersections
Mei-Chu Chang, Hoi Nguyen, Oanh Nguyen +1
We show that several statistics of the number of intersections between random eigenfunctions of general eigenvalues with a given smooth curve in flat tori are universal under vario…
Packing Loose Hamilton Cycles
Asaf Ferber, Kyle Luh, Daniel Montealegre +1
A subset of edges in a -uniform hypergraph is a \emph{loose Hamilton cycle} if covers all the vertices of and there exists a cyclic ordering of these vertices su…
Embedding large graphs into a random graph
Asaf Ferber, Kyle Luh, Oanh Nguyen
In this paper we consider the problem of embedding almost-spanning, bounded degree graphs in a random graph. In particular, let , and let be a graph…
Anti-concentration for polynomials of independent random variables
Raghu Meka, Oanh Nguyen, Van Vu
We prove anti-concentration results for polynomials of independent random variables with arbitrary degree. Our results extend the classical Littlewood-Offord result for linear poly…
Roots of random polynomials with coefficients having polynomial growth
Yen Do, Oanh Nguyen, Van Vu
In this paper, we prove optimal local universality for roots of random polynomials with arbitrary coeffcients of polynomial growth. As an application, we derive, for the first time…