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**From**: Geza Odor <odor AT mfa.kfki.hu>**To**: fizinfo AT lists.kfki.hu**Subject**: [Fizinfo] Prof. Ronald Dickman eloadasa**Date**: Mon, 5 Aug 2013 13:51:38 +0200 (CEST)**List-archive**: <http://mailman.kfki.hu/pipermail/fizinfo>**List-id**: ELFT HÍRADÓ <fizinfo.lists.kfki.hu>

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

distribution.

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,

Italy.

4. M. Prokopenko, N. Ay, O. Obst, and D. Polani, J. Stat. Mech. (2010)

P11025.

5. R. Dickman, N. R. Moloney, and E. G. Altmann, J. Stat. Mech. 2012, P12022

(2012).

2013. augusztus 13, kedd, 10:00:00

I. épület, Tanácsterem

---------------------

www.mfa.kfki.hu/~odor

**[Fizinfo] Prof. Ronald Dickman eloadasa**,*Geza Odor, 08/05/2013*- <Possible follow-up(s)>
**[Fizinfo] Prof. Ronald Dickman eloadasa**,*Geza Odor, 08/05/2013*

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