Inifinite trees and inverse Gaussian random variables (Q1576391)
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scientific article; zbMATH DE number 1491211
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inifinite trees and inverse Gaussian random variables |
scientific article; zbMATH DE number 1491211 |
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Inifinite trees and inverse Gaussian random variables (English)
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14 August 2000
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The present paper extends the first author's results on modelling the total resistance of an infinite tree as a reciprocal inverse Gaussian random variable, including the case when the potential drop may be path-dependent, and the case when the tree can have both finite and infinite parts (i.e. the tree is not infinite in all directions). Section 2 exposes the relevant properties of the inverse Gaussian distributions, reciprocal inverse Gaussian distributions, and the Kirchhoff-Ohm laws. Section 3 establishes the above-mentioned main results, including a study of conditional distributions on finite trees.
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reciprocal inverse Gaussian distributions
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total resistance on infinite trees
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Kirchhoff-Ohm laws
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conditional distributions on finite trees
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0.914570927619934
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0.8415687680244446
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