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Multifractality in High-Dimensional Graphs with Radial Disorder Correlations

ICTP-SAIFR via YouTube

Overview

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Explore multifractality phenomena in high-dimensional graphs through this conference lecture examining radial disorder correlations. Delve into the mathematical framework of multifractal analysis as applied to complex network structures, focusing on how disorder correlations manifest in radial patterns within high-dimensional graph systems. Learn about the theoretical foundations and computational approaches used to characterize multifractal behavior in these specialized graph structures. Examine the relationship between dimensional scaling, disorder distribution, and the emergence of multifractal properties in graph-based systems. Gain insights into advanced mathematical techniques for analyzing complex networks with correlated disorder, including scaling laws and fractal dimension calculations. Understand the implications of radial correlation patterns for the overall multifractal spectrum and how these findings contribute to the broader understanding of quantum many-body dynamics and thermalization phenomena.

Syllabus

David Logan: Multifractality in high dimensional graphs with radial disorder correlations

Taught by

ICTP-SAIFR

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