Work

Generalized q -dimension of measures on Heisenberg self-affine sets in the Heisenberg group

Year: 2015

Type: article

Abstract: We study the generalized q -dimension of measures supported by Heisenberg self-affine sets in the Heisenberg group, and we obtain bounds for it which are valid for ‘almost all’ classes of affine contractions. In particular, when 1 < q ⩽ 2, exact values are established for Heisenberg self-affine measures.

Source: Nonlinearity

DOI: 10.1088/0951-7715/28/8/2939

Authors: Jun Jie Miao, Xiaonan Wu

Institution: East China Normal University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: National Natural Science Foundation of China

Award: G2869255188