14 citations · 14 across the 5 of their papers we have counts for
5 papers
Heat Geometry from a Universal Scalar Process
Obayda Julien Assaad
We prove that the law of one smooth scalar process in a finite Wiener chaos completely determines finite families of symmetric tensors on arbitrary real separable Hilbert spaces, u…
Quadratic variations of rough generalized Hermite processes: hidden long memory and a universal Gaussian boundary field
Obayda Julien Assaad
We study centered quadratic variations of fractionally filtered generalized Hermite processes. For every chaos order , every admissible anisotropic monomial kernel $g_{\bold…
Correlated Gaussian Moments Determine Polynomials up to Orthogonal Equivalence
Obayda Julien Assaad
Let be a real polynomial of degree at most on . We construct finitely many correlated Gaussian moments that determine up to an orthogonal change of variab…
Weak limits of multiple Wiener integrals: representation, extraction, and realization
Obayda Julien Assaad
We study weak limits of multiple Wiener integrals together with the limits of their kernel contractions. After passage to a subsequence, bounded kernel sequences admit a Gaussian H…
Quantitative normal approximations for the stochastic fractional heat equation
Obayda Assaad, David Nualart, Ciprian A. Tudor +1
In this article we present a {\it quantitative} central limit theorem for the stochastic fractional heat equation driven by a a general Gaussian multiplicative noise, including the…