Athanassios Batakis
Abstract
We show that for some compact sets K ⊂ R 2 of Cantor type the harmonic measure is supported by a set whose Hausdorff dimension is strictly smaller than the dimension of K.
OpenAlex reports 30 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
We show that for some compact sets K ⊂ R 2 of Cantor type the harmonic measure is supported by a set whose Hausdorff dimension is strictly smaller than the dimension of K.
Key concepts: Cantor function, Mathematics, Cantor set, Measure (data warehouse), Hausdorff dimension, Hausdorff measure, Cantor's diagonal argument, Minkowski–Bouligand dimension