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Networks with random conductivities

Published online by Cambridge University Press:  01 July 2016

Ole E. Barndorff-Nielsen*
Affiliation:
Aarhus University

Extract

The study of networks with random conductivities or resistances is of considerable interest in physics, biology, geology and mathematics. The talk concentrated on a rather flexible class of parametric models for trees with random conductivities, based on properties of the inverse Gaussian distribution. For finite trees some exact distributional results were presented and extensions of the models to infinite trees were discussed. Joint work with Gerard Letac and Angelo E. Koudou (Toulouse), extending Barndorff-Nielsen (1994).

Type
Stochastic Geometry and Statistical Applications
Copyright
Copyright © Applied Probability Trust 1996 

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References

Barndorff-Nielsen, O. E. (1994) A note on electrical networks and the inverse Gaussian distribution. Adv. Appl. Prob. 26, 6367.Google Scholar