2 papers
math.MG2024
On Carrasco Piaggio's theorem connecting combinatorial modulus and Ahlfors regular conformal dimension
Behnam Esmayli, Ryan Schardine, Nageswari Shanmugalingam
The goal of this paper is to provide an expository description of a result of Carrasco Piaggio connecting the Ahlfors regular conformal dimension of a compact uniformly perfect dou…
math.MG2022
Coarea Inequality for Monotone Functions on Metric Surfaces
Behnam Esmayli, Toni Ikonen, Kai Rajala
We study coarea inequalities for metric surfaces -- metric spaces that are topological surfaces, without boundary, and which have locally finite Hausdorff 2-measure …