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Abstract:

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.

Registro:

Documento: Artículo
Título:Lq dimensions and projections of random measures
Autor:Galicer, D.; Saglietti, S.; Shmerkin, P.; Yavicoli, A.
Filiación:Departamento de Matemática, IMAS/CONICET, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pab. I, Buenos Aires, 1428, Argentina
Departamento de Matemáticas y Estadísticas, CONICET, Universidad Torcuato di Tella, Av. Figueroa Alcorta 7350, Buenos Aires, C1428BCW, Argentina
Palabras clave:convolutions; Lq dimensions; projections; random measures; self-similar measures
Año:2016
Volumen:29
Número:9
Página de inicio:2609
Página de fin:2640
DOI: http://dx.doi.org/10.1088/0951-7715/29/9/2609
Título revista:Nonlinearity
Título revista abreviado:Nonlinearity
ISSN:09517715
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09517715_v29_n9_p2609_Galicer

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Citas:

---------- APA ----------
Galicer, D., Saglietti, S., Shmerkin, P. & Yavicoli, A. (2016) . Lq dimensions and projections of random measures. Nonlinearity, 29(9), 2609-2640.
http://dx.doi.org/10.1088/0951-7715/29/9/2609
---------- CHICAGO ----------
Galicer, D., Saglietti, S., Shmerkin, P., Yavicoli, A. "Lq dimensions and projections of random measures" . Nonlinearity 29, no. 9 (2016) : 2609-2640.
http://dx.doi.org/10.1088/0951-7715/29/9/2609
---------- MLA ----------
Galicer, D., Saglietti, S., Shmerkin, P., Yavicoli, A. "Lq dimensions and projections of random measures" . Nonlinearity, vol. 29, no. 9, 2016, pp. 2609-2640.
http://dx.doi.org/10.1088/0951-7715/29/9/2609
---------- VANCOUVER ----------
Galicer, D., Saglietti, S., Shmerkin, P., Yavicoli, A. Lq dimensions and projections of random measures. Nonlinearity. 2016;29(9):2609-2640.
http://dx.doi.org/10.1088/0951-7715/29/9/2609