IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
L^q dimensions and projections of random measures.
Autor/es:
DANIEL GALICER; ALEXIA YAVÍCOLI; PABLO SHMERKIN; SANTIAGO SAGLIETTI
Revista:
NONLINEARITY
Editorial:
IOP PUBLISHING LTD
Referencias:
Lugar: Londres; Año: 2016
ISSN:
0951-7715
Resumen:
We prove preservation of $L^q$ dimensions (for $1 < q leq 2$) 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.
