Reciprocity relations between ordinary temperature and the Frieden-Soffer's Fisher-temperature
Abstract
Frieden and Soffer conjectured some years ago the existence of a ``Fisher temperature" TF that would play, with regards to Fisher's information measure I, the same role that the ordinary temperature T plays vis-a-vis Shannon's logarithmic measure. Here we exhibit the existence of reciprocity relations between TF and T and provide an interpretation with reference to the meaning of TF for the canonical ensemble.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.