Artículos de revistas
L q dimensions and projections of random measures
Fecha
2016-07Registro en:
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
0951-7715
CONICET Digital
CONICET
Autor
Galicer, Daniel Eric
Saglietti, Santiago Juan
Shmerkin, Pablo Sebastian
Yavicoli, Alexia
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.