Area and perimeter covered by anomalous diffusion processes.
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| Title: | Area and perimeter covered by anomalous diffusion processes. |
|---|---|
| Authors: | Lukovi´c, Mirko1,2 lukovic@nld.ds.mpg.de, Geisel, Theo1,2, Eule, Stephan1 |
| Source: | New Journal of Physics. 2013, Vol. 15 Issue 6, p1-11. 11p. |
| Subjects: | Diffusion processes, Random walks, Stochastic processes, Foraging behavior, Sea birds, Brownian motion |
| Abstract: | We investigate the geometric properties of two-dimensional continuous time random walks that are used extensively to model stochastic processes exhibiting anomalous diffusion in a variety of different fields. Using the concept of subordination, we determine exact analytical expressions for the average perimeter and area of the convex hulls for this class of non-Markovian processes. As the convex hull is a simple measure to estimate the home range of animals, our results give analytical estimates for the home range of foraging animals that perform sub-diffusive search strategies such as some Mediterranean seabirds and animals that ambush their prey. We also apply our results to Levy flights where possible. [ABSTRACT FROM AUTHOR] |
| Copyright of New Journal of Physics is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 90130937 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Area and perimeter covered by anomalous diffusion processes. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Lukovi´c%2C+Mirko%22">Lukovi´c, Mirko</searchLink><relatesTo>1,2</relatesTo><i> lukovic@nld.ds.mpg.de</i><br /><searchLink fieldCode="AR" term="%22Geisel%2C+Theo%22">Geisel, Theo</searchLink><relatesTo>1,2</relatesTo><br /><searchLink fieldCode="AR" term="%22Eule%2C+Stephan%22">Eule, Stephan</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22New+Journal+of+Physics%22">New Journal of Physics</searchLink>. 2013, Vol. 15 Issue 6, p1-11. 11p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Diffusion+processes%22">Diffusion processes</searchLink><br /><searchLink fieldCode="DE" term="%22Random+walks%22">Random walks</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+processes%22">Stochastic processes</searchLink><br /><searchLink fieldCode="DE" term="%22Foraging+behavior%22">Foraging behavior</searchLink><br /><searchLink fieldCode="DE" term="%22Sea+birds%22">Sea birds</searchLink><br /><searchLink fieldCode="DE" term="%22Brownian+motion%22">Brownian motion</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We investigate the geometric properties of two-dimensional continuous time random walks that are used extensively to model stochastic processes exhibiting anomalous diffusion in a variety of different fields. Using the concept of subordination, we determine exact analytical expressions for the average perimeter and area of the convex hulls for this class of non-Markovian processes. As the convex hull is a simple measure to estimate the home range of animals, our results give analytical estimates for the home range of foraging animals that perform sub-diffusive search strategies such as some Mediterranean seabirds and animals that ambush their prey. We also apply our results to Levy flights where possible. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of New Journal of Physics is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1088/1367-2630/15/6/063034 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 11 StartPage: 1 Subjects: – SubjectFull: Diffusion processes Type: general – SubjectFull: Random walks Type: general – SubjectFull: Stochastic processes Type: general – SubjectFull: Foraging behavior Type: general – SubjectFull: Sea birds Type: general – SubjectFull: Brownian motion Type: general Titles: – TitleFull: Area and perimeter covered by anomalous diffusion processes. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Lukovi´c, Mirko – PersonEntity: Name: NameFull: Geisel, Theo – PersonEntity: Name: NameFull: Eule, Stephan IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: 2013 Type: published Y: 2013 Identifiers: – Type: issn-print Value: 13672630 Numbering: – Type: volume Value: 15 – Type: issue Value: 6 Titles: – TitleFull: New Journal of Physics Type: main |
| ResultId | 1 |
