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[Fizinfo] Prof. Ronald Dickman eloadasa

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  • From: Geza Odor <odor AT>
  • To: fizinfo AT
  • Subject: [Fizinfo] Prof. Ronald Dickman eloadasa
  • Date: Mon, 5 Aug 2013 13:51:38 +0200 (CEST)
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SZFI Kollokvium

Ronald Dickman

Federal University of Minas Gerais, Brasil
Analysis of an information-theoretic model for communication

We examine the cost-minimization problem posed by Ferrer i Cancho and Solé
in their information-theory based communication model [1], proposed in
efforts to explain Zipf's Law (that is, a power-law frequency-rank relation
for words in written texts). Using a simple inequality, we obtain the exact
minimum-cost solution as a function of the param- eter ?, as obtained
previously via other methods [2-4]. (? defines the relative weights of
speaker's and listener's costs.) We show that at the phase transition, the
minimum-cost solutions do not correspond to a power law except for a
vanishingly small subset, even if we impose the additional condition of
equal costs to speaker and listener [5]. Finally we consider the model at
finite temperature using mean-field theory and entropic Monte Carlo
simulation, and find a line of discontinuous phase transitions in the ?-T
plane. The simulations yield no evidence for a power-law frequency-rank

1. R. Ferrer i Cancho and R. V. Solé, PNAS 100, 788 (2003).
2. R. Ferrer i Cancho and A. Díaz-Guilera, J. Stat. Mech.: Theory Exp.
(2007) P06009. 3. A. Trosso, Master's thesis, 2008, University of Turin,
4. M. Prokopenko, N. Ay, O. Obst, and D. Polani, J. Stat. Mech. (2010)
5. R. Dickman, N. R. Moloney, and E. G. Altmann, J. Stat. Mech. 2012, P12022

2013. augusztus 13, kedd, 10:00:00
I. épület, Tanácsterem


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