Multifractal Analysis

Multifractal analysis is a mathematical technique used to quantify the complex, irregular patterns found in diverse systems, revealing underlying scaling properties not captured by traditional methods. Current research focuses on applying multifractal analysis to diverse fields, including the analysis of neuron interactions in large language models, the classification of anomalous diffusion processes, and the characterization of physiological signals like electrocardiograms. This approach enhances the understanding of complex systems by providing quantitative measures of their irregularity and self-similarity across multiple scales, leading to improved diagnostic tools and a deeper understanding of emergent behavior in various domains.