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Reference details

Author(s) Year Title Reference View/Download

Les Hatton , Greg Warr

2017k

Are all discrete systems shaped by the same conservation principle ?

Unfortunately rejected by the journal.PRSA_HattonWarr_Sep2017.pdf

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Synopsis Invited Feedback Importance (/10, author rated :-) )
There is no obvious reason why diverse discrete systems (e.g. computer software, proteins, music, texts) should have any properties in common. However, by constraining the simplest measure of total information, CoHSI (Conservation of Hartley- Shannon Information), in a statistical mechanics framework, we show that this directly predicts at all scales the self-similarity of their observed length distributions and other previously unsuspected common properties. This prediction is confirmed for each of these discrete systems. We distinguish two essential discrete system forms: heterogeneous in which individual components are sequentially assembled from an alphabet of unique tokens (e.g. amino acids in proteins), and homogeneous systems in which each component is built from a single token unique to that component (e.g. word frequencies in texts). Heterogeneous systems are characterised by an implicit distribution of component lengths, with sharp unimodal peak and power-law tail, whereas homogeneous systems reduce naturally to Zipf’s Law. We show that very long components are inevitable for heterogeneous systems, and that some discrete systems such as texts exhibit both heterogeneous and homogeneous behaviour. In systems with more than one consistent token alphabet (e.g. digital music), the alphabets themselves show a power-law relationship.None yet11

Related links

Related papers and links

http://leshatton.org/Documents/PRSA_HattonWarr_Sep2017_SM.pdf


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