Intermediate dimensions -- a survey
| العنوان: | Intermediate dimensions -- a survey |
|---|---|
| المؤلفون: | Kenneth J. Falconer |
| المساهمون: | Pollicott, Mark, Vaienti, Sandro, EPSRC, University of St Andrews. Pure Mathematics |
| المصدر: | Lecture Notes in Mathematics ISBN: 9783030748623 |
| سنة النشر: | 2020 |
| مصطلحات موضوعية: | Intermediate dimensions, 28A80, Continuum (topology), T-NDAS, Hausdorff dimension, Metric Geometry (math.MG), Dynamical Systems (math.DS), Box-counting dimension, Theoretical physics, Mathematics - Metric Geometry, FOS: Mathematics, QA Mathematics, Mathematics - Dynamical Systems, QA, Mathematics |
| الوصف: | This article surveys the $\theta$-intermediate dimensions that were introduced recently which provide a parameterised continuum of dimensions that run from Hausdorff dimension when $\theta=0$ to box-counting dimensions when $\theta=1$. We bring together diverse properties of intermediate dimensions which we illustrate by examples. Comment: 18 pages, 2 figures. Further examples and open problems have been added |
| وصف الملف: | application/pdf |
| اللغة: | English |
| ردمك: | 978-3-030-74862-3 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ed92025a1d0e329d1178ec6067e6e28d http://arxiv.org/abs/2011.04363 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....ed92025a1d0e329d1178ec6067e6e28d |
| قاعدة البيانات: | OpenAIRE |
| ردمك: | 9783030748623 |
|---|