92 citations · 561 across the 76 of their papers we have counts for
Showing 2016 · math.PRShow all
3 papers · 2 filters
math.PR2016★ 3 cited
Asymptotic behavior of semistable Lévy exponents and applications to fractal path properties
Peter Kern, Mark M. Meerschaert, Yimin Xiao
This paper proves sharp bounds on the tails of the Lévy exponent of an operator semistable law on . These bounds are then applied to explicitly compute the Hausdorff a…
math.PR2016
On the Macroscopic Fractal Geometry of Some Random Sets
Davar Khoshnevisan, Yimin Xiao
This paper is concerned mainly with the macroscopic fractal behavior of various random sets that arise in modern and classical probability theory. Among other things, it is shown h…
math.PR2016
Strong Local Nondeterminism and Exact Modulus of Continuity for Spherical Gaussian Fields
Xiaohong Lan, Domenico Marinucci, Yimin Xiao
In this paper, we are concerned with sample path properties of isotropic spherical Gaussian fields on . In particular, we establish the property of strong local nondeterminism…