-exponent and -leaders, Part I: Negative pointwise regularity
详细信息 查看全文
- 作者：S. Jaffarda ; jaffard@u-pec.fr" class="auth_mail" title="E-mail the corresponding author ; C. Melotb ; melot@cmi.univ-mrs.fr" class="auth_mail" title="E-mail the corresponding author ; R. Leonarduzzic ; roberto.leonarduzzi@ens-lyon.fr" class="auth_mail" title="E-mail the corresponding author ; H. Wendtd ; herwig.wendt@irit.fr" class="auth_mail" title="E-mail the corresponding author ; P. Abryc ; patrice.abry@ens-lyon.fr" class="auth_mail" title="E-mail the corresponding author ; S.G. Rouxc ; stephane.roux@ens-lyon.fr" class="auth_mail" title="E-mail the corresponding author ; M.E. Torrese ; metorres@santafe-conicet.gov.ar" class="auth_mail" title="E-mail the corresponding author
- 关键词：Pointwise regularity ; pp-exponent ; Wavelet pp-leaders ; Negative regularity ; Singularity classification ; Multifractal analysis
- 刊名：Physica A: Statistical Mechanics and its Applications
- 出版年：2016
- 出版时间：15 April 2016
- 年：2016
- 卷：448
- 期：Complete
- 页码：300-318
- 全文大小：995 K
文摘
- •
We propose to base multifractal analysis on the p-exponent.
- •
This exponent can take negative values and be used on non locally bounded functions.
- •
We study theoretical properties of p-exponents.
- •
We propose wavelet-based quantities for their practical estimation.
- •
We use them to enrich the classification of local singularities.