A new model for competition between many languages

Time evolution of number of cities, population of cities, world population, and size distribution of present languages are studied in terms of a new model, where population of each city increases by a random rate and decreases by a random division. World population and size distribution of languages come out in good agreement with the available empirical data.


A theoretical approach for Pareto-Zipf law
Tuncay, Çağlar (World Scientific Pub Co Pte Lt, 2008-08-01)
We suggest an analytical approach for the Pareto-Zipf law, where we assume random multiplicative noise and fragmentation processes for the growth of the number of citizens of each city and the number of the cities, respectively.
Physics of randomness and regularities for cities, languages, and their lifetimes and family trees
Tuncay, C. (World Scientific Pub Co Pte Lt, 2007-10-01)
Time evolution of the cities and languages is considered in terms of multiplicative noise(1) and fragmentation(2) processes; where power law (Pareto-Zipf law)(3) and slightly asymmetric log-normal (Gauss)4 distribution result for the size distribution of the cities and for that of the languages, respectively. The cities and the languages are treated differently (and as connected; for example, the languages split in terms of splitting the cities, etc.) and thus two distributions are obtained in the same comp...
The dynamics of the rise and fall of empires
Gündüz, Güngör (World Scientific Pub Co Pte Lt, 2016-10-01)
The rise of empires can be elucidated by treating them as living organisms, and the celebrated Verhulst or Lotka-Volterra dynamics can be used to understand the growth mechanisms of empires. The fast growth can be expressed by an exponential function as in the case of Macedonian empire of the Alexander the Great whereas a sigmoidal growth can be expressed by power-law equation as in the case of Roman and Ottoman empires. The superpowers Russia and the USA follow somehow different mechanisms, Russia displays...
A new integrable generalization of the Korteweg-de Vries equation
Karasu-Kalkanli, Ayse; Karasu, Atalay; Sakovich, Anton; Sakovich, Sergei; TURHAN, REFİK (AIP Publishing, 2008-07-01)
A new integrable sixth-order nonlinear wave equation is discovered by means of the Painleve analysis, which is equivalent to the Korteweg-de Vries equation with a source. A Lax representation and an auto-Backlund transformation are found for the new equation, and its traveling wave solutions and generalized symmetries are studied. (C) 2008 American Institute of Physics.
Efficiency of genetic algorithm and determination of ground state energy of impurity in a spherical quantum dot
Safak, H; Sahin, M; Gulveren, B; Tomak, Mehmet (World Scientific Pub Co Pte Lt, 2003-07-01)
In the present work, genetic algorithm method (CA) is applied to the problem of impurity at the center of a spherical quantum dot for infinite confining potential case. For this purpose, any trial variational wave function is considered for the ground state and energy values are calculated. In applying the GA to the problem under investigation, two different approaches were followed. Furthermore, a standard variational procedure is also performed to determine the energy eigenvalues. The results obtained by ...
Citation Formats
Ç. Tuncay, “A new model for competition between many languages,” INTERNATIONAL JOURNAL OF MODERN PHYSICS C, pp. 1203–1208, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/44994.