TY - JOUR
T1 - A comment on Rivier's maximum entropy method of statistical crystallography
AU - Chiu, S N
PY - 1995/2
Y1 - 1995/2
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/21844490496
U2 - 10.1088/0305-4470/28/3/015
DO - 10.1088/0305-4470/28/3/015
M3 - Journal article
SN - 0305-4470
VL - 28
SP - 607
EP - 615
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 3
ER -