S. Saglietti

activity

20102026

most citedAbsolute continuity of non-homogeneous self-similar measures

25 citations · 45 across the 17 of their papers we have counts for

collaborators

Showing math.DSShow all

2 papers · 1 filter

math.DS2017★ 25 cited

Absolute continuity of non-homogeneous self-similar measures

Santiago Saglietti, Pablo Shmerkin, Boris Solomyak

We prove that self-similar measures on the real line are absolutely continuous for almost all parameters in the super-critical region, in particular confirming a conjecture of S-M.…

math.DS2015★ 11 cited

$L^{q}$ dimensions and projections of random measures

Daniel Galicer, Santiago Saglietti, Pablo Shmerkin +1

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…

Absolute continuity of non-homogeneous self-similar measures

Lq dimensions and projections of random measures

$L^{q}$ dimensions and projections of random measures