2 papers
math.PR2020
Multivariate normal approximation on the Wiener space: new bounds in the convex distance
Ivan Nourdin, Giovanni Peccati, Xiaochuan Yang
We establish explicit bounds on the convex distance between the distribution of a vector of smooth functionals of a Gaussian field, and that of a normal vector with a positive defi…
math.PR2019
Uniform dimension results for the inverse images of symmetric Lévy processes
Hyunchul Park, Yimin Xiao, Xiaochuan Yang
We prove uniform Hausdorff and packing dimension results for the inverse images of a large class of real-valued symmetric Lévy processes. Our main result for the Hausdorff dimensio…