Oslo Metropolitan University > Department of Computer Science
       
Home
Research
Publications
Teaching
Projects, grants, and events
CV and supervision
Scientific illustrations
Blog
Outside the office
 
 

Fractal binary sequences: Tsallis thermodynamics and the Zipf law

S. Denisov
Physics Lett. A 235, 447-451 (1997)
It is pointed out that the generalized thermodynamics introduced by Tsallis [J. Stat. Phys. 52 (1988) 479] provides a natural frame for the extension of the thermodynamical formalism of symbolic dynamics. The statistical structure of 1D fractal long-range correlation sequences is investigated using an n-tuple Zipf analysis. The generalized form of the Zipf-Mandelbrot law can be obtained using the maximum entropy principle within the frame of Tsallis thermodynamics, with the Zipf exponent \ksi = 1/(q ? 1) where q is the entropic index, if the frequency of a word is associated with the probability and the rank with the energy.

[Oslo Metropolitan University] [TKD] [Department of Computer Science]
last modified on Monday, 14-Feb-2022 14:09:58 UTC by Sergey Denisov