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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 and SOLÉ, Ricard V. Emergence of Zipf's law in the Evolution of Communication. Physical Review E. 2011. Vol. 83, num. 3. ISSN 1539-3755. [consulted: 25 of May of 2026]. Available at: https://hdl.handle.net/2445/162797