Mesoadditive processes and the specific conductivity of lattices-Reference-Cited by-同舟云学术

Mesoadditive processes and the specific conductivity of lattices

Published:1988 Issue:A Volume:25 Page:347-358
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Hammersley J. M.

Abstract

The hypercubic lattice with bonds of random electrical resistance affords a model for the specific conductivity of microscopically irregular material. The resulting stochastic process lies between a subadditive and a superadditive process: mesoadditive processes of this type provide several unsolved problems for pure mathematicians.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference40 articles.

1. The diffusion limit for reversible jump processes onZ d with ergodic random bond conductivities

2. Hille E. (1948) Functional Analysis and Semigroups. Amer. Math. Soc. Colloq. Publ. 31.

3. Macroscopic Properties of Disordered Media

4. FURTHER RESULTS ON THE RATE OF CONVERGENCE TO THE CONNECTIVE CONSTANT OF THE HYPERCUBICAL LATTICE

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