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Emergence of Zipf's law in the Evolution of Communication
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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.
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COROMINAS MURTRA, Bernat, FORTUNY ANDREU, Jordi, SOLÉ, Ricard v.. Emergence of Zipf's law in the Evolution of Communication. _Physical Review E_. 2011. Vol. 83, núm. 3. [consulta: 2 de gener de 2026]. ISSN: 1539-3755. [Disponible a: https://hdl.handle.net/2445/162797]