Mathematical structures derived from the q-multinomial coefficient in Tsallis statistics

Hiroki Suyari

Physica A: Statistical Mechanics and its Applications, 2006, vol. 368, issue 1, 63-82

Abstract: We present q-Stirling's formula, q-multinomial coefficient, one-to-one correspondence between q-multinominal coefficient and Tsallis entropy, q-Pascal's triangle and a conjecture on the q-central limit theorem in Tsallis statistics for the generalization of the well-known fundamental formulas to systems exhibiting power-law behaviors. The main approach is based on the q-product, uniquely determined by Tsallis entropy, which has already been successfully applied to our recent proof of the law of error in Tsallis statistics.

Keywords: Tsallis entropy; q-product; q-Stirling's formula; q-multinomial coefficient; One-to-one correspondence between q-multinominal coefficient and Tsallis entropy; q-central limit theorem in Tsallis statistics; q-Gaussian; q-Pascal's triangle (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:368:y:2006:i:1:p:63-82

DOI: 10.1016/j.physa.2005.12.061

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