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cs.IT2026
Hermite-Fisher bounds and stability for min-entropy power inequalities
Silouanos Brazitikos, Martin Rapaport, Tomasz Tkocz
We derive explicit lower bounds for relative Fisher information by combining a variational principle with suitably orthogonalized Hermite-polynomial test functions. The resulting c…
cs.IT2025
Entropic versions of Bergström's and Bonnesen's inequalities
Matthieu Fradelizi, Lampros Gavalakis, Martin Rapaport
We establish analogues of the Bergström and Bonnesen inequalities, related to determinants and volumes respectively, for the entropy power and for the Fisher information. The obtai…