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cryptic-allostery

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Ruqing1963 / kakutani-statistical-pharmacology-II

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Paper II of "Statistical Pharmacology via Kakutani Dichotomy": the correlated Kakutani index (CKI), the 99.95% covariance dominance theorem (Szego rate in closed form) and spectral fingerprints of cryptic allostery. Paper (LaTeX/PDF), reproducible Python code, data and figures. DOI 10.5281/zenodo.23012217

python latex reproducible-research drug-discovery mathematical-biology allostery probability-theory bhattacharyya-distance phase-transitions toeplitz-matrices computational-pharmacology majorization kakutani-dichotomy conformational-ensembles statistical-pharmacology feldman-hajek gaussian-measures szego-limit-theorem kac-murdock-szego cryptic-allostery
  • Updated Sep 28, 2026
  • TeX

Ruqing1963 / kakutani-statistical-pharmacology-III

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Paper III of "Statistical Pharmacology via Kakutani Dichotomy": spectral Kakutani-Feldman-Hajek criticality of correlated conformational modes (mode amplitude perturbation vs iso-spectral Givens rotation), the doubling tail-increment estimator that removes the finite-size bias at alpha_c = 1/2, and the geodesic parity theorem on the SPD cone. Paper

python reproducible-research phase-diagram principal-component-analysis mathematical-biology allostery bhattacharyya-distance euler-maclaurin finite-size-scaling computational-pharmacology covariance-spectrum critical-exponent kakutani-dichotomy conformational-ensembles statistical-pharmacology feldman-hajek cryptic-allostery givens-rotation spd-cone geodesic-coordinates
  • Updated Sep 28, 2026
  • TeX

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