Academic Journal
Fractal dimensions of the Rosenblatt process
| العنوان: | Fractal dimensions of the Rosenblatt process |
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| المؤلفون: | Daw, Lara, George, Kerchev |
| المساهمون: | University of Luxembourg Luxembourg, Université Paris-Est Créteil Val-de-Marne - Paris 12 (UPEC UP12) |
| المصدر: | ISSN: 0304-4149. |
| بيانات النشر: | HAL CCSD Elsevier |
| سنة النشر: | 2021 |
| المجموعة: | Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
| مصطلحات موضوعية: | Rosenblatt process Image set Level set Sojourn times Hausdorff dimension Packing dimension Intermediate dimension Logarithmic density Pixel density, Rosenblatt process, Image set, Level set, Sojourn times, Hausdorff dimension, Packing dimension, Intermediate dimension, Logarithmic density, Pixel density, Mathematics, Probability, [MATH.MATH-PR]Mathematics [math]/Probability [math.PR] |
| الوصف: | International audience ; The paper concerns the image, level and sojourn time sets associated with sample paths of the Rosenblatt process. We obtain results regarding the Hausdorff (both classical and macroscopic), packing and intermediate dimensions, and the logarithmic and pixel densities. As a preliminary step we also establish the time inversion property of the Rosenblatt process, as well as some technical points regarding the distribution of $Z$. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | hal-04362612; https://hal.science/hal-04362612; https://hal.science/hal-04362612/document; https://hal.science/hal-04362612/file/FRACTAL%20DIMENSIONS%20OF%20THE%20ROSENBLATT%20PROCESS.pdf |
| DOI: | 10.48550/arXiv.2103.04714 |
| الاتاحة: | https://hal.science/hal-04362612 https://hal.science/hal-04362612/document https://hal.science/hal-04362612/file/FRACTAL%20DIMENSIONS%20OF%20THE%20ROSENBLATT%20PROCESS.pdf https://doi.org/10.48550/arXiv.2103.04714 |
| Rights: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.E42F87A4 |
| قاعدة البيانات: | BASE |
| DOI: | 10.48550/arXiv.2103.04714 |
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