A stochastic fractal model of the universe related to the fractional Laplacian
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 1364 | |
| dc.contributor.author | Sabelfeld, Karl | |
| dc.date.accessioned | 2016-03-24T17:38:24Z | |
| dc.date.available | 2019-06-28T08:03:25Z | |
| dc.date.issued | 2008 | |
| dc.description.abstract | A new stochastic fractal model based on a fractional Laplace equation is developed. Exact representation for the spectral and correlation functions under random boundary excitation are obtained. Randomized spectral expansion is constructed for simulation of the solution of the fractional Laplace equation. We present calculations for 2D and 3D spaces for a series of fractional parameters showing a strong memory effect: the decay of correlations is several order of magnitudes less compared to the conventional Laplace equation model. | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 0946-8633 | |
| dc.identifier.uri | https://doi.org/10.34657/1914 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2033 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
| dc.relation.issn | 0946-8633 | eng |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
| dc.subject.ddc | 510 | eng |
| dc.subject.other | Stochastic fractals | eng |
| dc.subject.other | fractal dimension of the Universe | eng |
| dc.subject.other | fractional Laplace equation | eng |
| dc.subject.other | boundary excitations | eng |
| dc.subject.other | spectral and correlation functions | eng |
| dc.title | A stochastic fractal model of the universe related to the fractional Laplacian | eng |
| dc.type | Report | eng |
| dc.type | Text | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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