Symmetry and translations in multimaterial line statistics

Inhomogeneous multimaterial line statistics are shown to be locally symmetric. These statistics generate, however, non-symmetrical chord length distributions. Homogeneous statistics, characterized by invariance under translations, are shown to have symmetrical chord distributions but they may have n...

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Bibliographic Details
Published inJournal of quantitative spectroscopy & radiative transfer Vol. 51; no. 6; pp. 801 - 812
Main Authors Sanchez, R., Zuchuat, O., Malvagi, F., Zmijarevic, I.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.06.1994
New York, NY Elsevier
Subjects
Exact sciences and technology
Fluctuation phenomena, random processes, noise, and brownian motion
Mathematical methods in physics
Physics
Probability theory
Probability theory, stochastic processes, and statistics
Statistical physics, thermodynamics, and nonlinear dynamical systems
Transport processes
Transition probabilities
Particle transport
Conditional probability
Transport theory
Probability theory
Linear theory
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Summary:Inhomogeneous multimaterial line statistics are shown to be locally symmetric. These statistics generate, however, non-symmetrical chord length distributions. Homogeneous statistics, characterized by invariance under translations, are shown to have symmetrical chord distributions but they may have non symmetrical conditional translation probabilities.
ISSN:0022-4073
1879-1352
DOI:10.1016/0022-4073(94)90013-2