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User Pierre Baudot
title Topological forms of information
Authors Pierre Baudot, Daniel Bennequin
Source AIP proc
Year 2014
Type Conference
Type of publication ISC-PIF Resident

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Abstract We propose that entropy is a universal co-homological class in a theory associated to a family of observable quantities and a family of probability distributions. Three cases are presented:
1) classical probabilities and random variables;
2) quantum probabilities and observable operators;
3) dynamic probabilities and observation trees.
This gives rise to a new kind of topology for information processes. We discuss briefly its application to complex data, in particular to the structures of information flows in biological systems. This short note summarizes results obtained during the last years by the authors. The proofs are not included, but the definitions and theorems are stated with precision.
Link http://djafari.free.fr/MaxEnt2014/papers/97_paper.pdf
Created Friday 14 November, 2014 16:40:49

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