Marianna Csornyei

collaborators

3 papers

math.CA2025

Improved bounds for radial projections in the plane

Marianna Csornyei, D. M. Stull

We improve the best known lower bound for the dimension of radial projections of sets in the plane. We show that if $X, Y$ are Borel sets in $R^{2}$ , $X$ is not contained in any line…

math.CA2025

On the modulus of continuity of functions whose image has positive measure, and metric embeddings into $R^{d}$ without shrinking

Iqra Altaf, Marianna Csörnyei

A generalization of the classical Sard theorem in the plane is the following. Let $f$ be a function defined on a subset $A \subset R^{2}$ . If $f$ has modulus of continuity $ω…

math.CA2007

Tube-measurability

Marianna Csörnyei, Laura Wisewell

Define an outer measure on R^n by taking the infimum, over all covers of the set by tubes, of the sum of the cross-sectional areas of the tubes. We show that the only measurable se…

Improved bounds for radial projections in the plane

On the modulus of continuity of functions whose image has positive measure, and metric embeddings into Rd without shrinking

Tube-measurability

On the modulus of continuity of functions whose image has positive measure, and metric embeddings into $R^{d}$ without shrinking