Ariel Rapaport

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20232026

most citedDimension of diagonal self-affine sets and measures via non-conformal partitions

1 citations · 1 across the 5 of their papers we have counts for

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math.DS2025

Dimension of Furstenberg measures on $CP^{1}$

Ariel Rapaport, Haojie Ren

Let $θ$ be a finitely supported probability measure on $SL (2, C)$ , and suppose that the semigroup generated by $G := supp (θ)$ is strongly irreduci…

math.DS2025

Dimension of self-conformal measures associated to an exponentially separated analytic IFS on $R$

Ariel Rapaport

We extend Hochman's work on exponentially separated self-similar measures on $R$ to the real analytic setting. More precisely, let $Φ = {φ_{i}}_{i \in Λ}$ be an…

Dimension of Furstenberg measures on CP1

Dimension of self-conformal measures associated to an exponentially separated analytic IFS on R

Dimension of Furstenberg measures on $CP^{1}$

Dimension of self-conformal measures associated to an exponentially separated analytic IFS on $R$