Dimension Estimates for Certain Sets of Infinite Complex Continued Fractions

Author

Neunhäuserer, J.

Source

Journal of Mathematics

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-01-13

Country of Publication

Egypt

No. of Pages

5

Main Subjects

Mathematics

Abstract EN

We prove upper and lower estimates on the Hausdorff dimension of sets of infinite complex continued fractions with finitely many prescribed Gaussian integers.

Particulary we will conclude that the dimension of theses sets is not zero or two and there are such sets with dimension greater than one and smaller than one.

American Psychological Association (APA)

Neunhäuserer, J.. 2013. Dimension Estimates for Certain Sets of Infinite Complex Continued Fractions. Journal of Mathematics،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-496120

Modern Language Association (MLA)

Neunhäuserer, J.. Dimension Estimates for Certain Sets of Infinite Complex Continued Fractions. Journal of Mathematics No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-496120

American Medical Association (AMA)

Neunhäuserer, J.. Dimension Estimates for Certain Sets of Infinite Complex Continued Fractions. Journal of Mathematics. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-496120

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-496120