Hausdorff dimension theorems for self-similar Markov processes

• Autorzy: Liu Luqin , Xiao Yimin
• Języki publikacji: EN

Abstrakty

EN

Let X(t) (t ∈R₊) be an α-self-similar Markov process on R^d or R^d₊. The Hausdorff dimension of the image, graph and zero set of X (t) are obtained under certain mild conditions. Similar results are also proved for a class of elliptic diffusions.

Słowa kluczowe

EN

self-similar Markov process; elliptic diffusions; Hausdorff dimension

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 1998
• Tom: Vol. 18, Fasc. 2
• Strony: 369--383
• Opis fizyczny: Bibliogr. 29 poz.

Twórcy

autor

Liu Luqin

• Department of Mathematics, Wuhan University, Wuhan 430072, China

autor

Xiao Yimin

• Department of Mathematics, University of Utah, Salt Lake City, UT 84112-0090, U.S.A.

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