guest ::
| Home > Articles > Published articles > On the geometric structure of the limit set of conformal iterated function systems |
| Home > Articles > Published articles > On the geometric structure of the limit set of conformal iterated function systems |
| Date: | 2003 |
| Abstract: | We consider infinite conformal function systems on Rd. We study the geometric structure of the limit set of such systems. Suppose this limit set intersects some l-dimensional C1-submanifold with positive Hausdorff t-dimensional measure, where 0 <l<d and t is the Hausdorff dimension of the limit set. We then show that the closure of the limit set belongs to some l-dimensional affine subspace or geometric sphere whenever d exceeds 2 and analytic curve if d equals 2. |
| Rights: | Tots els drets reservats.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Subject: | Iterated function system ; Self-conformal set ; Local geometric structure |
| Published in: | Publicacions matemàtiques, V. 47 N. 1 (2003) , p. 133-141, ISSN 2014-4350 |
