Geodesic
Branching Measures of Information on Strings
Canadian mathematical bulletin, Tome 22 (1979) no. 4, pp. 433-448

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In classical information theory, the amount of information provided by an experiment is measured by a function of the probability distribution of the outcomes of the experiment. In this paper, information measures are functions of sequences of elements of a monoid (S, ∘) with identity e. It is assumed that the measures {μn: Sn → R} of information are branching. 
Ebanks, Bruce R. Branching Measures of Information on Strings. Canadian mathematical bulletin, Tome 22 (1979) no. 4, pp. 433-448. doi: 10.4153/CMB-1979-057-3
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     title = {Branching {Measures} of {Information} on {Strings}},
     journal = {Canadian mathematical bulletin},
     pages = {433--448},
     year = {1979},
     volume = {22},
     number = {4},
     doi = {10.4153/CMB-1979-057-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-057-3/}
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