Thermodynamic Semirings

Details Thermodynamic Semirings Thermodynamic Semirings

2011-08-14

arxiv.org/abs/1108.2874v1

Mathematics

Quantum Algebra

47 pages, LaTeX, 9 eps figures

Scientific paper

Thermodynamic semirings are deformed additive structures on characteristic one semirings, defined using a binary information measure. The algebraic properties of the semiring encode thermodynamical and information theoretic properties of the entropy function. Besides the case of the Shannon entropy, which arises in the context of geometry over the field with one element and the Witt construction in characteristic one, there are other interesting thermodynamic semirings associated to the Renyi and Tsallis entropies, and to the Kullback-Leibler divergence, with connections to information geometry, multifractal analysis, and statistical mechanics. A more general theory of thermodynamic semirings is then formulated in categorical terms, by encoding all partial associativity and commutativity constraints into an entropy operad and a corresponding information algebra.

Affiliated with

Also associated with

No associations

Rating

Thermodynamic Semirings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Thermodynamic Semirings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thermodynamic Semirings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-712221