The dimension of the set of zeros and the graph of a symmetric stable process

zbMath0286.60031MaRDI QIDQ1845578

R. M. Blumenthal, Ronald Getoor

Publication date: 1962

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25)

Related Items (17)

The exact hausdorff measure of the zero set of a stable process ⋮ Sample path properties of processes with stable components ⋮ Hausdorff-Besicovitch dimension of graphs and \(p\)-variation ⋮ On the Hausdorff dimension of the intersection of the range of a stable process with a Borel set ⋮ Uniform dimension results for processes with independent increments ⋮ Modeling and simulation with operator scaling ⋮ Random fractals determined by Lévy processes ⋮ The graph and range singularity spectra of \(b\)-adic independent cascade functions ⋮ Fractal dimension results for continuous time random walks ⋮ Multiple points for a process in R2 with stable components ⋮ Rough functions: \(p\)-variation, calculus, and index estimation ⋮ Local extinction in continuous-state branching processes with immigration ⋮ Asymptotic behavior of semistable Lévy exponents and applications to fractal path properties ⋮ The correct measure function for the graph of a transient stable process ⋮ Lacunarity of self-similar and stochastically self-similar sets ⋮ Hausdorff dimension of the range and the graph of stable-like processes ⋮ Multiple points for the sample paths of the symmetric stable process

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