Multifractal Formalism for Self-Similar Functions Under the Action of Nonlinear Dynamical Systems

Journal Article

• رابط المنشور على الويب: http://link.springer.com/article/10.1007/s003659900105
• المجلة \ الصحيفة: Constructive Approximation
• رقم العدد: April 1999, Volume 15, Issue 2
• رقم الإصدار السنوي: April 1999, Volume 15, Issue 2
• الصفحات: 209–240

مستخلص المنشور

We study functions which are self-similar under the action of some nonlinear dynamical systems. We compute the exact pointwise H{ö}lder regularity, then we determine the spectrum of singularities and the Besov ``smoothness'' index, and finally we prove the multifractal formalism. The main tool in our computation is the wavelet analysis.