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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Detalles Bibliográficos
Publicado: 2016
Materias:
convolutions
Lq dimensions
projections
random measures
self-similar measures
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09517715_v29_n9_p2609_Galicer
http://hdl.handle.net/20.500.12110/paper_09517715_v29_n9_p2609_Galicer
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_09517715_v29_n9_p2609_Galicer
record_format dspace
spelling paper:paper_09517715_v29_n9_p2609_Galicer2023-06-08T15:55:00Z Lq dimensions and projections of random measures 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. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09517715_v29_n9_p2609_Galicer 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
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.
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
publishDate 2016
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09517715_v29_n9_p2609_Galicer
http://hdl.handle.net/20.500.12110/paper_09517715_v29_n9_p2609_Galicer
_version_ 1768542324139229184

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