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 2018Show all

2 papers · 1 filter

math.DS2018

On self-similar measures with absolutely continuous projections and dimension conservation in each direction

Ariel Rapaport

Relying on results due to Shmerkin and Solomyak, we show that outside a $0$ -dimensional set of parameters, for every planar homogeneous self-similar measure $ν$ , with strong separa…

math.PR2018★ 5 cited

Geometric Law for Multiple Returns until a Hazard

Yuri Kifer, Ariel Rapaport

For a $ψ$ -mixing stationary process $ξ_{0}, ξ_{1}, ξ_{2}, ...$ we consider the number $N_{N}$ of multiple recurrencies ${ξ_{q_{i} (n)} \in Γ_{N}, i = 1, ..., ℓ}$ to a set $Γ_{N}$ for $n$ u…