Dimension estimates for certain sets of infinite complex continued fractions
Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet
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in: Journal of Mathematics, Jahrgang 2013, 754134, 01.01.2013.
Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet
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TY - JOUR
T1 - Dimension estimates for certain sets of infinite complex continued fractions
AU - Neunhäuserer, Jörg
N1 - Publisher Copyright: © 2013 J. Neunhäuserer.
PY - 2013/1/1
Y1 - 2013/1/1
N2 - 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.
AB - 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.
KW - Mathematics
UR - http://www.scopus.com/inward/record.url?scp=85014249781&partnerID=8YFLogxK
U2 - 10.1155/2013/754134
DO - 10.1155/2013/754134
M3 - Journal articles
VL - 2013
JO - Journal of Mathematics
JF - Journal of Mathematics
SN - 2314-4629
M1 - 754134
ER -