dc.contributor.author |
Manin, YI |
en |
dc.date.accessioned |
2014-01-05T22:48:12Z |
en |
dc.date.available |
2014-01-05T22:48:12Z |
en |
dc.date.issued |
2013 |
en |
dc.identifier.citation |
CDMTCS Research Reports CDMTCS-432 (2013) |
en |
dc.identifier.issn |
1178-3540 |
en |
dc.identifier.uri |
http://hdl.handle.net/2292/21331 |
en |
dc.description.abstract |
Zipf’s law in its basic incarnation is an empirical probability distribution
governing the frequency of usage of words in a language. As Terence
Tao recently remarked, it still lacks a convincing and satisfactory mathematical
explanation.
In this paper I suggest that at least in certain situations, Zipf’s law can be
explained as a special case of the a priori distribution introduced and studied by
L. Levin. The Zipf ranking corresponding to diminishing probability appears then
as the ordering determined by the growing Kolmogorov complexity.
One argument justifying this assertion is the appeal to a recent interpretation by
Yu.Manin and M.Marcolli of asymptotic bounds for error–correcting codes in terms
of phase transition. In the respective partition function, Kolmogorov complexity of
a code plays the role of its energy. |
en |
dc.publisher |
Department of Computer Science, The University of Auckland, New Zealand |
en |
dc.relation.ispartofseries |
CDMTCS Research Report Series |
en |
dc.rights |
Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. |
en |
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
en |
dc.source.uri |
http://www.cs.auckland.ac.nz/staff-cgi-bin/mjd/secondcgi.pl?serial |
en |
dc.title |
Zipf's Law and L. Levin's Probability Distributions |
en |
dc.type |
Technical Report |
en |
dc.subject.marsden |
Fields of Research::280000 Information, Computing and Communication Sciences |
en |
dc.rights.holder |
The author(s) |
en |
dc.rights.accessrights |
http://purl.org/eprint/accessRights/OpenAccess |
en |