Fractal Dimensionality of Lévy Processes

Overview

Journal Proc Natl Acad Sci U S A

Specialty Science

Date 1982 Jul 1

PMID 16593212

Citations 3

Authors

V Seshadri

B J West

Affiliations

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Abstract

We determine the fractal dimensionality D of the trajectories of a class of translationally invariant Markov processes. We also provide two simple operational measures to estimate D.

Citing Articles

Why Do Big Data and Machine Learning Entail the Fractional Dynamics?.

Niu H, Chen Y, West B Entropy (Basel). 2021; 23(3).

PMID: 33671047 PMC: 7997214. DOI: 10.3390/e23030297.

A mathematics for medicine: The Network Effect.

West B Front Physiol. 2014; 5:456.

PMID: 25538622 PMC: 4260484. DOI: 10.3389/fphys.2014.00456.

Linking animal movement to site fidelity.

Giuggioli L, Bartumeus F J Math Biol. 2011; 64(4):647-56.

PMID: 21633801 DOI: 10.1007/s00285-011-0431-7.

References

Hughes B, Shlesinger M, Montroll E . Random walks with self-similar clusters. Proc Natl Acad Sci U S A. 1981; 78(6):3287-91. PMC: 319551. DOI: 10.1073/pnas.78.6.3287. View