Ariel Rapaport

activity

20122022

most citedDimension of ergodic measures projected onto self-similar sets with overlaps

12 citations · 30 across the 12 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.MG2017

Hausdorff dimension of planar self-affine sets and measures

Balázs Bárány, Michael Hochman, Ariel Rapaport

Let $X = ⋃ φ_{i} X$ be a strongly separated self-affine set in $R^{2}$ (or one satisfying the strong open set condition). Under mild non-compactness and irreducibility ass…

math.DS2017

A self-similar measure with dense rotations, singular projections and discrete slices

Ariel Rapaport

We construct a planar homogeneous self-similar measure, with strong separation, dense rotations and dimension greater than $1$ , such that there exist lines for which dimension cons…

math.DS2017★ 2 cited

A dimension gap for continued fractions with independent digits - the non stationary case

Ariel Rapaport

We show there exists a constant $0 < c_{0} < 1$ such that the dimension of every measure on $[0, 1]$ , which makes the digits in the continued fraction expansion independent, is at most…