Hausdorrf dimension for level sets and k-multiple times
Ming Yang
TL;DR
This paper calculates the Hausdorff dimension of the zero set of an additive Levy process, providing insights into its fractal structure.
Contribution
It introduces a method to determine the Hausdorff dimension of level sets for additive Levy processes.
Findings
Hausdorff dimension of the zero set is explicitly computed
Results apply to a broad class of additive Levy processes
Provides new tools for fractal analysis of stochastic processes
Abstract
We compute the Hausdorff dimension of the zero set of an additive Levy process.
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Taxonomy
TopicsRings, Modules, and Algebras · Advanced Topology and Set Theory