Abstract
This chapter is devoted to the description of random environment, in the form of a Markov chain, a Markov renewal or a semi-Markov process, and its ergodic and martingale properties. We introduce the notions of diffusion processes, semigroups and their generators, and consider the merging property of random environment.
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© 2003 Springer Science+Business Media Dordrecht
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Swishchuk, A., Wu, J. (2003). Random Media. In: Evolution of Biological Systems in Random Media: Limit Theorems and Stability. Mathematical Modelling: Theory and Applications, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1506-5_1
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DOI: https://doi.org/10.1007/978-94-017-1506-5_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6398-4
Online ISBN: 978-94-017-1506-5
eBook Packages: Springer Book Archive