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WROCŁAW UNIVERSITY
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TECHNOLOGY

Contents of PMS, Vol. 18, Fasc. 2,
pages 369 - 383
 

HAUSDORFF DIMENSION THEOREMS FOR SELF-SIMILAR MARKOV PROCESSES

Luqin Liu
Yimin Xiao

Abstract: Let X(t)(t (- R ) + be an a -self-similar Markov process on Rd or Rd. + 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.

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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