Nonlinear Sciences – Adaptation and Self-Organizing Systems
Scientific paper
2010-08-05
Nonlinear Sciences
Adaptation and Self-Organizing Systems
7 pages, 2 figures
Scientific paper
Zipf's law seems to be ubiquitous in human languages and appears to be a universal property of complex communicating systems. Following the early proposal made by Zipf concerning the presence of a tension between the efforts of speaker and hearer in a communication system, we introduce evolution by means of a variational approach to the problem based on Kullback's Minimum Discrimination of Information Principle. Therefore, using a formalism fully embedded in the framework of information theory, we demonstrate that Zipf's law is the only expected outcome of an evolving, communicative system under a rigorous definition of the communicative tension described by Zipf.
Corominas-Murtra Bernat
Fortuny Jordi
Sole Ricard V.
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