Oscillations of BV measures on nested fractals
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866911779092692992 |
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| author | Ruiz, Patricia Alonso Baudoin, Fabrice |
| author_facet | Ruiz, Patricia Alonso Baudoin, Fabrice |
| contents | Motivated by recent developments in the theory of bounded variation functions on nested fractals, this paper studies the exact asymptotics of functionals related to the total variation measure associated with unions of $n$-complexes. The oscillatory behavior observed implies the non-uniqueness of BV measures in this setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_12274 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Oscillations of BV measures on nested fractals Ruiz, Patricia Alonso Baudoin, Fabrice Metric Geometry Probability 26A45, 31E05, 31C25, 28A80 Motivated by recent developments in the theory of bounded variation functions on nested fractals, this paper studies the exact asymptotics of functionals related to the total variation measure associated with unions of $n$-complexes. The oscillatory behavior observed implies the non-uniqueness of BV measures in this setting. |
| title | Oscillations of BV measures on nested fractals |
| topic | Metric Geometry Probability 26A45, 31E05, 31C25, 28A80 |
| url | https://arxiv.org/abs/2201.12274 |