Exact Asymptotics of the Fisher Information Metric at Statistical Critical Points | Synapse
March 1, 2026Open Access
Exact Asymptotics of the Fisher Information Metric at Statistical Critical Points
Key Points
This research aims to analyze the Fisher information metric at statistical critical points and derive its scaling exponent.
Conducted an asymptotic analysis of the Fisher information metric near criticality.
Utilized Brillouin zone mode decomposition for analytical derivation.
Proved convergence properties related to the scaling exponent.
Derived the d_R scaling exponent analytically.
Demonstrated convergence properties of the Fisher information metric.
Showed significant behavior of the metric near statistical critical points.
Abstract
Rigorous asymptotic analysis of the Fisher information metric near criticality. Derives the dR scaling exponent analytically via Brillouin zone mode decomposition and proves convergence properties.