Hausdorff Dimension for Range and Graph of Multi-Parameter Operator Stable L\'evy Processes

CHEN Xiaoping; LIN Huonan

doi:10.3969/j.issn.1001-4268.2019.06.001

CHEN Xiaoping, LIN Huonan. Hausdorff Dimension for Range and Graph of Multi-Parameter Operator Stable L\'{e}vy Processes[J]. Chinese Journal of Applied Probability and Statistics, 2019, 35(6): 551-557. DOI: 10.3969/j.issn.1001-4268.2019.06.001

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CHEN Xiaoping, LIN Huonan. Hausdorff Dimension for Range and Graph of Multi-Parameter Operator Stable L\'{e}vy Processes[J]. Chinese Journal of Applied Probability and Statistics, 2019, 35(6): 551-557. DOI: 10.3969/j.issn.1001-4268.2019.06.001

Citation:

CHEN Xiaoping, LIN Huonan. Hausdorff Dimension for Range and Graph of Multi-Parameter Operator Stable L\'{e}vy Processes[J]. Chinese Journal of Applied Probability and Statistics, 2019, 35(6): 551-557. DOI: 10.3969/j.issn.1001-4268.2019.06.001

Hausdorff Dimension for Range and Graph of Multi-Parameter Operator Stable L\'evy Processes

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The lower Hausdorff dimension results for the range and the graph of multi-parameter operator stable L\'evy processes are established. The consequences are completely determined by the eigenvalues of its exponent matrix.

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Hausdorff Dimension for Range and Graph of Multi-Parameter Operator Stable L\'evy Processes

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