【摘要】 测度的重分形分析是分形几何的一个重要研究方向,它广泛应用于动力系统、湍流、降雨量模型、地震和金融时间序列模型.发展重分形测度的数学理论和方法至关重要.文中简要阐述测度的重分形分析的基本思想和方法,并介绍笔者及其课题组在该领域取得的主要研究成果.更多还原

【Abstract】 Multifractal analysis of measures is known as an important research direction of fractal geometry.It has been widely used in dynamical systems,turbulence analysis,rainfall modeling,earthquake analysis,and financial time series modeling.Developing the mathematical theory and methods of multifractal measures is of utmost importance.This paper briefly explains the basic ideas and methods of the multifractal analysis of measures and describes the author’s major findings and achievements in this field.更多还原