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A probabilistic version of bowen — Ruelle's volume lemma

Part of the Lecture Notes in Mathematics book series (LNM,volume 819)

Keywords

  • Gibbs Measure
  • Singular Perturbation Problem
  • Elliptic Differential Operator
  • Linear Parabolic Equation
  • Small Random Perturbation

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References

  1. R. Bowen and D. Ruelle,, The ergodic theory of Axiom A flows, Invent. Math. 29 (1975), 181–202.

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  2. Yu. I. Kifer, On small random perturbations of some smooth dynamical systems, Mathe. USSR Izvestija 8(1974), 1083–1107.

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  3. _____, On the principal eigenvalue in a singular perturbation problem with hyperbolic limit points and circles, PReprint, 1979.

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  5. C. Robinson, Stability theorem and hyperbolicity in dynamical systems, The Rocky Mount. J. of Math. 7(1977), 425–437.

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  6. J. Franke and J. Selgrade, Hyperbolicity and chain recurrence, J. Diff. Equat. 26(1977), 27–36.

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  7. D. G. Aronson, The fundamental solution of a linear parabolic equation containing a small parameter, III. J. Math. 3(1959), 580–619.

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  8. A. Friedman, The asymptotic behavior fo the first real eigenvalue of a second order elliptic operator with small parameter in the highest derivatives, Indiana Univ. Math. J. 22(1973), 1005–1015.

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© 1980 Springer-Verlag

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Kifer, Y. (1980). A probabilistic version of bowen — Ruelle's volume lemma. In: Nitecki, Z., Robinson, C. (eds) Global Theory of Dynamical Systems. Lecture Notes in Mathematics, vol 819. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086994

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  • DOI: https://doi.org/10.1007/BFb0086994

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10236-6

  • Online ISBN: 978-3-540-38312-3

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