Dr. Oliver Obst
Neurocomputing & Distributed Systems
 
Adaptive Systems, CSIRO ICT Centre, Sydney, Australia

Phase transitions in least-effort communications

Our new paper Phase transitions in least-effort communications has been published in J. Stat. Mech. In this work, we critically examine a model that attempts to explain the emergence of power laws (e.g., Zipf’s law) in human language. The model is based on the principle of least effort in communications—specifically, the overall effort is balanced between the speaker effort and listener effort, with some trade-off. It has been shown that an information-theoretic interpretation of this principle is sufficiently rich to explain the emergence of Zipf’s law in the vicinity of the transition between referentially useless systems (one signal for all referable objects) and indexical reference systems (one signal per object). The phase transition is defined in the space of communication accuracy (information content) expressed in terms of the trade-off parameter. Our study (more…)