Fluctuation-stable generalized entropy probes of spectral heterogeneity (opens in new tab)

Generalized entropy measures are widely used to characterize localization and multifractality, and the regime \(q>1\) is often empirically found to exhibit improved numerical stability and cleaner scaling behavior. Here, we develop a fluctuation-stability framework for generalized entropy diagnostics and show that weak-amplitude spectral fluctuations are amplified for \(q1\), thereby providing a theoretical basis for the physically robust \(q>1\...