A comment on Rivier's maximum entropy method of statistical crystallography

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Abstract

In the literature, Rivier's maximum entropy method was used to "prove" Lewis' law and a linear Aboav's law. In this paper we show that the functional forms of these two laws for a statistically equilibrated cellular network, even if such a network really exists, cannot be derived or proved by this method. For example, within the maximum entropy method, we demonstrate that a quadratic Aboav's or Lewis's law is as probable as a linear one.
Original languageEnglish
Pages (from-to)607-615
Number of pages9
JournalJournal of Physics A: Mathematical and General
Volume28
Issue number3
DOIs
Publication statusPublished - Feb 1995
Externally publishedYes

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