Lq dimensions and projections of random measures
We prove preservation of Lq dimensions (for ) under all orthogonal projections for a class of random measures on the plane, which includes (deterministic) homogeneous self-similar measures and a well-known family of measures supported on 1-variable fractals as special cases. We prove a similar resul...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_09517715_v29_n9_p2609_Galicer |
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todo:paper_09517715_v29_n9_p2609_Galicer2023-10-03T15:50:43Z Lq dimensions and projections of random measures Galicer, D. Saglietti, S. Shmerkin, P. Yavicoli, A. convolutions Lq dimensions projections random measures self-similar measures We prove preservation of Lq dimensions (for ) under all orthogonal projections for a class of random measures on the plane, which includes (deterministic) homogeneous self-similar measures and a well-known family of measures supported on 1-variable fractals as special cases. We prove a similar result for certain convolutions, extending a result of Nazarov, Peres and Shmerkin. Recently many related results have been obtained for Hausdorff dimension, but much less is known for L q dimensions. © 2016 IOP Publishing Ltd & London Mathematical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_09517715_v29_n9_p2609_Galicer |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
convolutions Lq dimensions projections random measures self-similar measures |
| spellingShingle |
convolutions Lq dimensions projections random measures self-similar measures Galicer, D. Saglietti, S. Shmerkin, P. Yavicoli, A. Lq dimensions and projections of random measures |
| topic_facet |
convolutions Lq dimensions projections random measures self-similar measures |
| description |
We prove preservation of Lq dimensions (for ) under all orthogonal projections for a class of random measures on the plane, which includes (deterministic) homogeneous self-similar measures and a well-known family of measures supported on 1-variable fractals as special cases. We prove a similar result for certain convolutions, extending a result of Nazarov, Peres and Shmerkin. Recently many related results have been obtained for Hausdorff dimension, but much less is known for L q dimensions. © 2016 IOP Publishing Ltd & London Mathematical Society. |
| format |
JOUR |
| author |
Galicer, D. Saglietti, S. Shmerkin, P. Yavicoli, A. |
| author_facet |
Galicer, D. Saglietti, S. Shmerkin, P. Yavicoli, A. |
| author_sort |
Galicer, D. |
| title |
Lq dimensions and projections of random measures |
| title_short |
Lq dimensions and projections of random measures |
| title_full |
Lq dimensions and projections of random measures |
| title_fullStr |
Lq dimensions and projections of random measures |
| title_full_unstemmed |
Lq dimensions and projections of random measures |
| title_sort |
lq dimensions and projections of random measures |
| url |
http://hdl.handle.net/20.500.12110/paper_09517715_v29_n9_p2609_Galicer |
| work_keys_str_mv |
AT galicerd lqdimensionsandprojectionsofrandommeasures AT sagliettis lqdimensionsandprojectionsofrandommeasures AT shmerkinp lqdimensionsandprojectionsofrandommeasures AT yavicolia lqdimensionsandprojectionsofrandommeasures |
| _version_ |
1782024025495568384 |