Hausdorff dimension of operator stable sample paths

DOI10.1007/s00605-002-0534-8zbMath1038.60034OpenAlexW2143540163MaRDI QIDQ1416728

Hans-Peter Scheffler, Peter Becker-Kern, Mark M. Meerschaert

Publication date: 16 December 2003

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-002-0534-8

zbMATH Keywords

Hausdorff dimensionsample pathoperator stable

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Sample path properties (60G17) Fractals (28A80) Stable stochastic processes (60G52)

Related Items (9)

Sample Path Properties of a Class of Operator Stable Processes ⋮ Hausdorff measure and packing measure of the graph of dilation-stable Lévy processes ⋮ On the carrying dimension of occupation measures for self-affine random fields ⋮ The Hausdorff dimension of the range of the Lévy multistable processes ⋮ Asymptotic behavior of semistable Lévy exponents and applications to fractal path properties ⋮ The Hausdorff dimension of operator semistable Lévy processes ⋮ Laws of the iterated logarithm of chover-type for operator stable Lévy processes ⋮ Dimension results for sample paths of operator stable Lévy processes ⋮ Lévy processes: capacity and Hausdorff dimension

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