92 citations · 561 across the 76 of their papers we have counts for
8 papers · 2 filters
Strong Local Nondeterminism and Exact Modulus of Continuity for Isotropic Gaussian Random Fields on Compact Two-Point Homogeneous Spaces
Tianshi Lu, Chunsheng Ma, Yimin Xiao
This paper is concerned with sample path properties of isotropic Gaussian fields on compact two-point homogeneous spaces. In particular, we establish the property of strong local n…
Spectral heat content on a class of fractal sets for subordinate killed Brownian motions
Hyunchul Park, Yimin Xiao
We study the spectral heat content for a class of open sets with fractal boundaries determined by similitudes in , , with respect to subordinate killed Bro…
Limit theorems for linear random fields with innovations in the domain of attraction of a stable law
Magda Peligrad, Hailin Sang, Yimin Xiao +1
In this paper we study the convergence in distribution and the local limit theorem for the partial sums of linear random fields with i.i.d. innovations that have infinite second mo…
Chung-type law of the iterated logarithm and exact moduli of continuity for a class of anisotropic Gaussian random fields
Cheuk Yin Lee, Yimin Xiao
We establish a Chung-type law of the iterated logarithm and the exact local and uniform moduli of continuity for a large class of anisotropic Gaussian random fields with a harmoniz…
Linear Multifractional Stable Sheets in the Broad Sense: Existence and Joint Continuity of Local Times
Yujia Ding, Qidi Peng, Yimin Xiao
We introduce the notion of linear multifractional stable sheets in the broad sense (LMSS) with , to include both linear multifractional Brownian sheets () and linea…
Lower functions and Chung's LILs of the generalized fractional Brownian motion
Ran Wang, Yimin Xiao
Let be a generalized fractional Brownian motion (GFBM) introduced by Pang and Taqqu (2019): $$ \big\{X(t)\big\}_{t\ge0}\overset{d}{=}\left\{ \int_{\mathbb R}…