3 papers
math.PR2026
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 ze…
math.OC2024
Subdifferential Calculus for Ordered Set-Valued Mappings between Infinite-Dimensional Spaces
Boris S. Mordukhovich, Oanh Nguyen
The paper is devoted to developing subdifferential theory for set-valued mappings taking values in ordered infinite-dimensional spaces. This study is motivated by applications to p…
math.PR2024
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…