Hausdorff Measure and Uniform Dimension for Space-Time Anisotropic Gaussian Random Fields-Reference-Cited by-同舟云学术

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Hausdorff Measure and Uniform Dimension for Space-Time Anisotropic Gaussian Random Fields

Published:2024-03-15 Issue:3 Volume:37 Page:2304-2329
ISSN:0894-9840
Container-title:Journal of Theoretical Probability
language:en
Short-container-title:J Theor Probab

Author:

Yuan Weijie,Chen Zhenlong

Funder

National Natural Science Foundation of China

Zhejiang Province Philosophy and Social Science Planning Routine Subject

the Management Project of "Digital+" Discipline Construction of Zhejiang Gongshang University

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s10959-024-01323-7.pdf

Reference38 articles.

1. Adler, R.J.: The Geometry of Random Fields. Wiley, New York (1981)

2. Biermé, H., Meerschaert, M.M., Scheffler, H.P.: Operator scaling stable random fields. Stoch. Process. Appl. 117, 312–332 (2007)

3. Biermé, H., Lacaux, C., Xiao, Y.: Hitting probabilities and the Hausdorff dimension of the inverse images of anisotropic Gaussian random fields. Bull. Lond. Math. Soc. 41, 253–273 (2009)

4. Chen, Z., Xiao, Y.: On intersections of independent anisotropic Gaussian random fields. Sci. China Math. 55, 2217–2232 (2012)

5. Chen, Z., Liu, S.: Hausdorff-type measures of the sample path of Gaussian random fields. Acta Math. Sin. (Engl. Ser.) 21, 623–636 (2005)

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