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math.PR2015★ 7 cited
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…
math.CA2015
Variation-norm and fluctuation estimates for ergodic bilinear averages
Yen Do, Richard Oberlin, Eyvindur A. Palsson
For any dynamical system, we show that higher variation-norms for the sequence of ergodic bilinear averages of two functions satisfy a large range of bilinear Lp estimates. It foll…