Random polynomials, whose coefficients or zeros are drawn from probability distributions, provide a fertile ground for understanding complex systems and statistical behaviours. A central theme in this ...

This is a preview. Log in through your library . Abstract We obtain an asymptotic formula for the persistence probability in the positive real line of a random polynomial arising from evolutionary ...

There are many known asymptotic estimates for the expected number of real zeros of a trigonometric polynomial V(θ) = a₀ + a₁ cosθ + a₂ cos2θ + . . . + an cos nθ with independent identically ...

Research of the probability and statistics group includes particle systems, theoretical statistics, non-conventional random walks, random matrix theory, and random polynomials. Research interests also ...

$\bullet$ Random analytic functions and random polynomials. $\bullet$ Stochastic, convex and integral geometry. $\bullet$ Random trees, branching random walks. $\bullet$ Analysis of algorithms and ...