 |
Université d'Orléans |  |
|
Université d'Orléans | |
| HAL: hal-00705005, version 1 |
| Detailed view |  Export this paper |
 |
|
|
| On Minkowski dimension of quasicircles |
|
|
| Thanh Hoang Nhat Le 1Michel Zinsmeister 1, 2 |
|
|
| (2012-06-06) |
|
|
|
| In this paper, we give a positive answer for Mc Mullen's open question which addresses a problem of the Hausdorff dimension of quasicircles. We also give a negative answer for this question by constructing a counterexample which is reminiscent of Kahane's construction of a non-Smirnov domain. |
|
|
|
|
|
|
|
|
|
|
|
| 1: | Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO) |
|
|
|
Université d'Orléans – CNRS : UMR7349 |
|
|
| 2: | Physique de la matière condensée (PMC) |
|
|
|
CNRS : UMR7643 – Polytechnique - X |
|
|
|
|
|
|
|
|
|
| Subject | : | Mathematics/Dynamical Systems |
|
|
| Minkowski dimension – Hausdorff dimension – dyadic martingale – Mc Mullen's open question – Bloch function – Kahane's measure |
|
|
|
| Attached file list to this document: | |||||
|
|||||
|
|
|
| hal-00705005, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00705005 | |
| oai:hal.archives-ouvertes.fr:hal-00705005 | |
| From: Thanh Hoang Nhat Le | |
| Submitted on: Wednesday, 6 June 2012 16:26:23 | |
| Updated on: Wednesday, 6 June 2012 16:53:42 | |
