Report
Fractional stable random fields on the Sierpiński gasket
| العنوان: | Fractional stable random fields on the Sierpiński gasket |
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| المؤلفون: | Baudoin, Fabrice, Lacaux, Céline |
| المصدر: | Baudoin , F & Lacaux , C 2024 ' Fractional stable random fields on the Sierpiński gasket ' . https://doi.org/10.1016/j.spa.2024.104481 |
| سنة النشر: | 2024 |
| المجموعة: | Aarhus University: Research |
| مصطلحات موضوعية: | math.PR, Fractional Riesz kernels, Fractional stable fields, Hölder continuity |
| الوصف: | We define and study fractional stable random fields on the Sierpiński gasket. Such fields are formally defined as (−Δ) −s W K,α , where Δ is the Laplace operator on the gasket and W K,α is a stable random measure. Both Neumann and Dirichlet boundary conditions for Δ are considered. Sample paths regularity and scaling properties are obtained. The techniques we develop are general and extend to the more general setting of the Barlow fractional spaces. |
| نوع الوثيقة: | report |
| وصف الملف: | application/pdf |
| اللغة: | English |
| DOI: | 10.1016/j.spa.2024.104481 |
| الاتاحة: | https://pure.au.dk/portal/en/publications/a9ae666a-1af6-46ce-a41c-582b5c0343e1 https://doi.org/10.1016/j.spa.2024.104481 https://pure.au.dk/ws/files/363444274/2401.08473v1.pdf http://www.scopus.com/inward/record.url?scp=85205273288&partnerID=8YFLogxK |
| Rights: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.F5D9FF35 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1016/j.spa.2024.104481 |
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