Dissipative Stochastic Dynamic Model of Language Signs Evolution

Abstract

Normal 0 false false false RU X-NONE X-NONE MicrosoftInternetExplorer4 We offer the dissipative stochastic dynamic model of the language sign evolution, satisfying to the principle of the least action, one of fundamental variational principles of the Nature. The model conjectures the Poisson nature of the birth flow of language signs and the exponential distribution of their associative-semantic potential (ASP). The model works with stochastic difference equations of the special type for dissipative processes. The equation for momentary polysemy distribution and frequency-rank distribution drawn from our model do not differs significantly (by Kolmogorov-Smirnovs test) from empirical distributions, got from main Russian and English explanatory dictionaries as well as frequency dictionaries of them.

Keywords

• language sign
• evolution
• associative semantic potential
• sign meanings
• polysemy
• frequency rank distribution
• dissipative stochastic dynamic model