On the packing dimension of projected measures
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866915945725820928 |
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| author | Angelini, Nicolas |
| author_facet | Angelini, Nicolas |
| contents | We study the packing dimension of Borel measures under orthogonal projections. We give a necessary and sufficient condition such that typical projections of Borel probability measures have full packing dimension and derive general lower bounds in the complementary case. Our approach shows that the Assouad dimension of the support influences the behavior of projected measures. The same method yields corresponding results for images under fractional Brownian motion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_18222 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the packing dimension of projected measures Angelini, Nicolas Classical Analysis and ODEs Probability We study the packing dimension of Borel measures under orthogonal projections. We give a necessary and sufficient condition such that typical projections of Borel probability measures have full packing dimension and derive general lower bounds in the complementary case. Our approach shows that the Assouad dimension of the support influences the behavior of projected measures. The same method yields corresponding results for images under fractional Brownian motion. |
| title | On the packing dimension of projected measures |
| topic | Classical Analysis and ODEs Probability |
| url | https://arxiv.org/abs/2604.18222 |