Persistence probability of random weyl polynomial

van Hao Can (1) , Viet-Hung Pham (2)

1 I2M - Institut de Mathématiques de Marseille
2 IMT - Institut de Mathématiques de Toulouse UMR5219

In this paper, using the method proposed by Dembo and Mukherjee [5], we obtain the persistence exponents of random Weyl polynomials in both cases: half nonnegative axis and the whole real axis. Our result is a confirmation to the predictions of Schehr and Majumdar [22].

Domaines: Probabilités [math.PR]

van Hao Can, Viet-Hung Pham. Persistence probability of random weyl polynomial. 2017. ⟨hal-01608950v1⟩