Indistinguishability of particles or independence of the random variables?

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Abstract

After establishing the formula of information, we turn to two cases: to the independent case and to the dependent case. If the characteristics of the particles (e.g., the energy) as random variables are independent, we. come in the discrete case to the Boltzmann distribution, while in the continuous case we come to the Gibbs formula - irrespectively of whether the particles are distinguishable or not. Our effort if aimed at clarity of the ideas, not at their mathematical completeness.

Original languageEnglish
Pages (from-to)1190-1196
Number of pages7
JournalJournal of Mathematical Sciences
Volume84
Issue number3
DOIs
Publication statusPublished - Jan 1 1997

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ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

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