Informational entropies, although proved to be useful in the evaluation of nervous function, are suitable just if we assume that nervous activity takes place under ergo dic conditions. However, widespread claims suggest that the brain operates in a non-ergodic framework. Here we show that a topological concept, namely the Borsuk-Ulam theorem, is able to wipe away this long-standing limit of both Shannon entropy and its generalizations, such as Rényi’s. We demonstrate that both ergodic and non-ergodic informational entropies can be evaluated and quantified through topological methods, in order to improve our knowledge of central nervous system function.
Comments: 13 Pages.
[v1] 2016-10-04 03:49:52
Unique-IP document downloads: 94 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.