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Stochastic reinforcement problems and ergodic theory
Published online by Cambridge University Press: 14 November 2011
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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