Dimension Results for Space-anisotropic Gaussian Random Fields

被引：3

作者：

Ni, Wen Qing ^{[1
,2
]}

Chen, Zhen Long ^{[1
]}

Wang, Wei Gang ^{[1
]}

机构：

[1] Zhejiang Gongshang Univ, Sch Math & Stat, Hangzhou 310018, Peoples R China

[2] Jimei Univ, Sch Sci, Xiamen 361021, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2019年 / 35卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Hausdorff dimension; packing dimension; gaussian random field; uniform dimension;

D O I：

10.1007/s10114-018-8016-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X={X(t)Rd,tRN} be a centered space-anisotropic Gaussian random field whose components satisfy some mild conditions. By introducing a new anisotropic metric in (d), we obtain the Hausdorff and packing dimension in the new metric for the image of X. Moreover, the Hausdorff dimension in the new metric for the image of X has a uniform version.

引用

页码：391 / 406

页数：16

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