24,692 research outputs found
BV Yang-Mills as a Homotopy Chern-Simons via SFT
We show explicitly how BV Yang-Mills action emerges as a homotopy
generalization of Chern-Simons theory from the algebraic constructions arising
from String Field Theory.Comment: LaTeX2e, 22 pages, minor revisions, typos corrected, references
added, Int. J. Mod. Physics A, published versio
Conditional entropy of ordinal patterns
In this paper we investigate a quantity called conditional entropy of ordinal
patterns, akin to the permutation entropy. The conditional entropy of ordinal
patterns describes the average diversity of the ordinal patterns succeeding a
given ordinal pattern. We observe that this quantity provides a good estimation
of the Kolmogorov-Sinai entropy in many cases. In particular, the conditional
entropy of ordinal patterns of a finite order coincides with the
Kolmogorov-Sinai entropy for periodic dynamics and for Markov shifts over a
binary alphabet. Finally, the conditional entropy of ordinal patterns is
computationally simple and thus can be well applied to real-world data
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