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A note on stochastic models with expanding transformations

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1325)

Abstract

Stochastic processes adapted to some expanding transformations are considered. It is proved that the trajectories of the resulting Markov chain stay "close" to non random orbits of transformations in question.

Keywords

  • Brownian Motion
  • Sectional Curvature
  • Gibbs Measure
  • Continuous Transformation
  • Geodesic Sphere

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References

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© 1988 Springer-Verlag

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Kifer, Y. (1988). A note on stochastic models with expanding transformations. In: Truman, A., Davies, I.M. (eds) Stochastic Mechanics and Stochastic Processes. Lecture Notes in Mathematics, vol 1325. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077922

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  • DOI: https://doi.org/10.1007/BFb0077922

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50015-5

  • Online ISBN: 978-3-540-45887-6

  • eBook Packages: Springer Book Archive