Work

Nonsymmetric conical upper density and 𝑘-porosity

Year: 2010

Type: article

Abstract: We study how the Hausdorff measure is distributed in nonsymmetric narrow cones in R n \mathbb {R}^n . As an application, we find an upper bound close to n − k n-k for the Hausdorff dimension of sets with large k k -porosity. With k k -porous sets we mean sets which have holes in k k different directions on every small scale.

Source: Transactions of the American Mathematical Society

DOI: 10.1090/s0002-9947-2010-04869-x

Authors: Antti Käenmäki, Ville Suomala

Institution: University of Jyväskylä

Language: Latvian

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: Academy of Finland

OpenAlex ID: W2085213016