Hitting probabilities and the Hausdorff dimension of the inverse images of a class of anisotropic random fields

DOI10.1007/s10114-015-4250-4zbMath1336.60096OpenAlexW2274890455MaRDI QIDQ272511

Quan Zhou, Zhen Long Chen

Publication date: 20 April 2016

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-015-4250-4

zbMATH Keywords

Hausdorff dimensioninverse imageshitting probabilitiesanisotropic random fieldsnon-linear stochastic heat equationsspatially homogeneous Gaussian noise

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Sample path properties (60G17) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Hausdorff and packing measures (28A78)

Related Items (2)

Mutual intersection for rough differential systems driven by fractional Brownian motions ⋮ Hitting probabilities and intersections of time-space anisotropic random fields

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