Old friends revisited: the multifractal nature of some classical functions |
| |
| Authors: | Stéphane Jaffard |
| |
| Institution: | (1) Département de Mathématiques, Université Paris XII, Faculté des Sciences et Technologie, 61 Av. du Gal. de Gaulle, 94010 Créteil Cedex, France;(2) CMLA, ENS Cachan, 61 av. du Président Wilson, 94235 Cachan Cedex, France |
| |
| Abstract: | We study some explicit functions introduced by Riemann, Jordan, Lévy, Kahane… These functions share the property of having
a dense set of discontinuities. We prove that they are examples of multifractal functions. |
| |
| Keywords: | 28A80 10F05 26A15 26A30 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
