10 citations · 16 across the 7 of their papers we have counts for
7 papers
Covering one point process with another
Frankie Higgs, Mathew D. Penrose, Xiaochuan Yang
Let and be i.i.d. random uniform points in a bounded domain with smooth or polygonal boundary. Given $n,m,k \in \math…
Largest nearest-neighbour link and connectivity threshold in a polytopal random sample
Mathew D. Penrose, Xiaochuan Yang
Let be independent identically distributed random points in a convex polytopal domain . Define the largest nearest neighbour link t…
Fractal Gaussian Networks: A sparse random graph model based on Gaussian Multiplicative Chaos
Subhroshekhar Ghosh, Krishnakumar Balasubramanian, Xiaochuan Yang
We propose a novel stochastic network model, called Fractal Gaussian Network (FGN), that embodies well-defined and analytically tractable fractal structures. Such fractal structure…
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…
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…
On the favorite points of symmetric Lévy processes
Bo Li, Yimin Xiao, Xiaochuan Yang
This paper is concerned with asymptotic behavior (at zero and at infinity) of the favorite points of Lévy processes. By exploring Molchan's idea for deriving lower tail probabiliti…
Multifractal properties of sample paths of ground state-transformed jump processes
József Lorinczi, Xiaochuan Yang
We consider a class of Lévy-type processes with unbounded coefficients, arising as Doob -transforms of Feynman-Kac type representations of non-local Schrödinger operators, where…