Simon Kristensen

On badly approximable complex numbers

Research output: Working paperResearch

Standard

On badly approximable complex numbers. / Esdahl-Schou, Rune; Kristensen, S.

Århus : Department of Mathematical Sciences, Aarhus University, 2009.

Research output: Working paperResearch

Harvard

Esdahl-Schou, R & Kristensen, S 2009 'On badly approximable complex numbers' Department of Mathematical Sciences, Aarhus University, Århus.

APA

Esdahl-Schou, R., & Kristensen, S. (2009). On badly approximable complex numbers. Århus: Department of Mathematical Sciences, Aarhus University.

CBE

Esdahl-Schou R, Kristensen S. 2009. On badly approximable complex numbers. Århus: Department of Mathematical Sciences, Aarhus University.

MLA

Esdahl-Schou, Rune and S. Kristensen On badly approximable complex numbers. Århus: Department of Mathematical Sciences, Aarhus University. 2009., 8 p.

Vancouver

Esdahl-Schou R, Kristensen S. On badly approximable complex numbers. Århus: Department of Mathematical Sciences, Aarhus University. 2009.

Author

Esdahl-Schou, Rune ; Kristensen, S./ On badly approximable complex numbers. Århus : Department of Mathematical Sciences, Aarhus University, 2009.

Bibtex

@techreport{4917664947d94b7280aae7754fd24817,
title = "On badly approximable complex numbers",
abstract = "We show that the set of complex numbers which are badly approximable by ratios of elements of , where has maximal Hausdorff dimension. In addition, the intersection of these sets is shown to have maximal dimension. The results remain true when the sets in question are intersected with a suitably regular fractal set.",
author = "Rune Esdahl-Schou and S. Kristensen",
year = "2009",
language = "English",
publisher = "Department of Mathematical Sciences, Aarhus University",
address = "Denmark",
type = "WorkingPaper",
institution = "Department of Mathematical Sciences, Aarhus University",

}

RIS

TY - UNPB

T1 - On badly approximable complex numbers

AU - Esdahl-Schou,Rune

AU - Kristensen,S.

PY - 2009

Y1 - 2009

N2 - We show that the set of complex numbers which are badly approximable by ratios of elements of , where has maximal Hausdorff dimension. In addition, the intersection of these sets is shown to have maximal dimension. The results remain true when the sets in question are intersected with a suitably regular fractal set.

AB - We show that the set of complex numbers which are badly approximable by ratios of elements of , where has maximal Hausdorff dimension. In addition, the intersection of these sets is shown to have maximal dimension. The results remain true when the sets in question are intersected with a suitably regular fractal set.

M3 - Working paper

BT - On badly approximable complex numbers

PB - Department of Mathematical Sciences, Aarhus University

CY - Århus

ER -