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Reference details
Author(s)
| Year
| Title
| Reference
| View/Download
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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
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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 yet | 11 |
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Auto-generated: $Revision: 1.63 $, $Date: 2020/01/25 16:18:09 $, Copyright Les Hatton 2001-
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