Sample path properties of fractional Riesz–Bessel field of variable order
In this paper we consider fractional Riesz-Bessel field of variable order, which is also known as multifractional Riesz-Bessel field. Sample path properties of this random field such as local regularity, locally self-similar property, Hausdorff dimension of the graph, and long/short range dependent...
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| Format: | Article |
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AMER INST PHYSICS
2008
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| Online Access: | http://shdl.mmu.edu.my/2793/ |
| _version_ | 1848790151560429568 |
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| author | Lim, S. C. Teo, L. P. |
| author_facet | Lim, S. C. Teo, L. P. |
| author_sort | Lim, S. C. |
| building | MMU Institutional Repository |
| collection | Online Access |
| description | In this paper we consider fractional Riesz-Bessel field of variable order, which is also known as multifractional Riesz-Bessel field. Sample path properties of this random field such as local regularity, locally self-similar property, Hausdorff dimension of the graph, and long/short range dependent property are studied. The relationship between the multifractional Riesz-Bessel field and the multifractional Brownian field is also established. (c) 2008 American Institute of Physics. |
| first_indexed | 2025-11-14T18:08:03Z |
| format | Article |
| id | mmu-2793 |
| institution | Multimedia University |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:08:03Z |
| publishDate | 2008 |
| publisher | AMER INST PHYSICS |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | mmu-27932011-09-19T08:17:43Z http://shdl.mmu.edu.my/2793/ Sample path properties of fractional Riesz–Bessel field of variable order Lim, S. C. Teo, L. P. T Technology (General) QC Physics In this paper we consider fractional Riesz-Bessel field of variable order, which is also known as multifractional Riesz-Bessel field. Sample path properties of this random field such as local regularity, locally self-similar property, Hausdorff dimension of the graph, and long/short range dependent property are studied. The relationship between the multifractional Riesz-Bessel field and the multifractional Brownian field is also established. (c) 2008 American Institute of Physics. AMER INST PHYSICS 2008-01 Article NonPeerReviewed Lim, S. C. and Teo, L. P. (2008) Sample path properties of fractional Riesz–Bessel field of variable order. Journal of Mathematical Physics, 49 (1). 013509. ISSN 00222488 http://dx.doi.org/10.1063/1.2830431 doi:10.1063/1.2830431 doi:10.1063/1.2830431 |
| spellingShingle | T Technology (General) QC Physics Lim, S. C. Teo, L. P. Sample path properties of fractional Riesz–Bessel field of variable order |
| title | Sample path properties of fractional Riesz–Bessel field of variable order |
| title_full | Sample path properties of fractional Riesz–Bessel field of variable order |
| title_fullStr | Sample path properties of fractional Riesz–Bessel field of variable order |
| title_full_unstemmed | Sample path properties of fractional Riesz–Bessel field of variable order |
| title_short | Sample path properties of fractional Riesz–Bessel field of variable order |
| title_sort | sample path properties of fractional riesz–bessel field of variable order |
| topic | T Technology (General) QC Physics |
| url | http://shdl.mmu.edu.my/2793/ http://shdl.mmu.edu.my/2793/ http://shdl.mmu.edu.my/2793/ |