arXiv Open Access 2009

Hausdorff measure of Julia sets in the exponential family

Joern Peter

Lihat Sumber

Abstrak

We consider the Hausdorff measure of Julia sets and escaping sets of exponential maps with respect to certain gauge functions. We give conditions on the growth of the gauge function which imply that the measure is zero or infinity, respectively.

Topik & Kata Kunci

math.DS

Penulis (1)

Joern Peter

Format Sitasi

APA MLA BibTeX

Peter, J. (2009). Hausdorff measure of Julia sets in the exponential family. https://arxiv.org/abs/0903.0757

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2009
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓