Geodesic
Complex continued fractions with restricted entries
Electronic Journal of Differential Equations, Tome 1998 (1998).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {1998},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a27/}
}
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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/