Tuomas Orponen

activity

20102026

most citedOn restricted families of projections in R^3

52 citations · 367 across the 81 of their papers we have counts for

collaborators

Showing 2024 · math.CAShow all

4 papers · 2 filters

math.CA2024

On the projections of almost Ahlfors regular sets

Tuomas Orponen, Kevin Ren

We show that the "sharp Kaufman projection theorem" from 2023 is sharp in the class of Ahlfors $(1, δ^{- ε})$ -regular sets. This is in contrast with a recent result of the first auth…

math.CA2024

On the projections of Ahlfors regular sets in the plane

Tuomas Orponen

This paper contains the following $δ$ -discretised projection theorem for Ahlfors regular sets in the plane. For all $C, ε > 0$ and $s \in [0, 1]$ , there exists $κ > 0$ such that the fo…

math.CA2024

On the dimension of $s$ -Nikodým sets

Damian Dąbrowski, Max Goering, Tuomas Orponen

Let $s \in [0, 1]$ . We show that a Borel set $N \subset R^{2}$ whose every point is linearly accessible by an $s$ -dimensional family of lines has Hausdorff dimension at mos…

math.CA2024

On Fourier transforms of fractal measures on the parabola

Tuomas Orponen, Carmelo Puliatti, Aleksi Pyörälä

Let $s \in [0, 1]$ and $t \in [0, min {3 s, s + 1})$ . Let $σ$ be a Borel measure supported on the parabola $P = {(x, x^{2}) : x \in [- 1, 1]}$ satisfying the $s$ -dimensional…

On the projections of almost Ahlfors regular sets

On the projections of Ahlfors regular sets in the plane

On the dimension of s-Nikodým sets

On Fourier transforms of fractal measures on the parabola

On the dimension of $s$ -Nikodým sets