Geodesic
Complex continued fractions with restricted entries
Electronic journal of differential equations, Tome 1998 (1998)
We study special infinite iterated function systems derived from complex continued fraction expansions with restricted entries. We focus our attention on the corresponding limit set whose Hausdorff dimension will be denoted by h. Our primary goal is to determine whether the h-dimensional Hausdorff and packing measure of the limit set is positive and finite.
Classification : 58F23, 58F03, 58F12
Keywords: iterated function systems, complex continued fractions, Hausdorff dimension, Hausdorff measure, packing measure 
@article{EJDE_1998__1998__a27,
     author = {Hanus,  Pawe{\l} and Urba\'nski,  Mariusz},
     title = {Complex continued fractions with restricted entries},
     journal = {Electronic journal of differential equations},
     year = {1998},
     volume = {1998},
     zbl = {0930.37001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a27/}
}
TY  - JOUR
AU  - Hanus,  Paweł
AU  - Urbański,  Mariusz
TI  - Complex continued fractions with restricted entries
JO  - Electronic journal of differential equations
PY  - 1998
VL  - 1998
UR  - http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a27/
LA  - en
ID  - EJDE_1998__1998__a27
ER  - 
%0 Journal Article
%A Hanus,  Paweł
%A Urbański,  Mariusz
%T Complex continued fractions with restricted entries
%J Electronic journal of differential equations
%D 1998
%V 1998
%U http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a27/
%G en
%F EJDE_1998__1998__a27
Hanus,  Paweł; Urbański,  Mariusz. Complex continued fractions with restricted entries. Electronic journal of differential equations, Tome 1998 (1998). http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a27/