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Stochastic reinforcement problems and ergodic theory

Published online by Cambridge University Press:  14 November 2011

M. Balzano  and
G. Paderni
M. Balzano
Affiliation:
Universitá degli Studi di Cassino, Dipartimento di Ingegneria Industriale, Via Zamosch, 43, 03043 Cassino (FR), Italy
G. Paderni
Affiliation:
Universitá degli Studi di Cassino, Dipartimento di Ingegneria Industriale, Via Zamosch, 43, 03043 Cassino (FR), Italy
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Synopsis

We study the asymptotic behaviour of Dirichlet problems in domains of R2 bounded by thin layers whose thickness is given by means of an assigned ergodic random function. Using a capacitary method together with ergodic theorems for additive and superadditive processes, we are able to characterise the limit problem precisely.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 121 , Issue 1-2 , 1992 , pp. 33 - 53
Copyright
Copyright © Royal Society of Edinburgh 1992

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