A pure jump Markov process with a random singularity spectrum
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Publication:1958463
DOI10.1214/10-AOP533zbMath1205.60148arXiv0907.0104OpenAlexW2962933565MaRDI QIDQ1958463
Nicolas Fournier, Stéphane Jaffard, Julien Barral, Stéphane Seuret
Publication date: 29 September 2010
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0907.0104
stochastic differential equationsMarkov processesHausdorff dimensionjump processesPoisson measuressingularity spectrum
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Cites Work
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- A localized Jarník-Besicovitch theorem
- Old friends revisited: The multifractal nature of some classical functions
- Wavelet construction of generalized multifractional processes
- The multifractal nature of Lévy processes
- On lacunary wavelet series.
- Heterogeneous ubiquitous systems in \(\mathbb R^d\) and Hausdorff dimension
- Random wavelet series based on a tree-indexed Markov chain
- The singularity spectrum of Lévy processes in multifractal time
- The multifractal nature of heterogeneous sums of Dirac masses
- How Often on a Brownian Path Does the Law of Iterated Logarithm Fail?
- THE LOCAL STRUCTURE OF RANDOM PROCESSES
- On the Hausdorff dimension of the Brownian slow points
- On nowhere differentiability for Lévy processes
- Covering the line with random intervals
- On the multifractal analysis of measures
- Continuity of the multifractal spectrum of a random statistically self-similar measure
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