Artículo

L q dimensions and projections of random measures

Galicer, Daniel EricIcon ; Saglietti, Santiago JuanIcon ; Shmerkin, Pablo SebastianIcon ; Yavicoli, AlexiaIcon
Fecha de publicación: 07/2016
Editorial: IOP Publishing
Revista: Nonlinearity
ISSN: 0951-7715
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

We prove preservation of L q dimensions (for 1 < q ≤ 2) under all orthogonal projections for a class of random measures on the plane, which includes(deterministic) homogeneous self-similar measures and a well-known familyof measures supported on 1-variable fractals as special cases. We prove asimilar result for certain convolutions, extending a result of Nazarov, Peresand Shmerkin. Recently many related results have been obtained for Hausdorffdimension, but much less is known for L q dimensions.
Palabras clave: L Q Dimensions , Projections , Convolutions , Random Measures , Self-Similar Measures
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution 2.5 Unported (CC BY 2.5)
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URI: http://hdl.handle.net/11336/46621
DOI: http://doi.org/10.1088/0951-7715/29/9/2609
URL: http://iopscience.iop.org/article/10.1088/0951-7715/29/9/2609/meta
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Citación
Galicer, Daniel Eric; Saglietti, Santiago Juan; Shmerkin, Pablo Sebastian; Yavicoli, Alexia; L q dimensions and projections of random measures; IOP Publishing; Nonlinearity; 29; 9; 7-2016; 2609-2640
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