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Sharpenings and Generalizations

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Part of the Grundlehren der mathematischen Wissenschaften book series (GL,volume 260)

Summary.

Finally, in Chap. 11 some generalizations and further extensions are considered; among the results worth mentioning are: the application of large-deviation results of Chaps. 3–5 to wave propagation in semi-linear partial differential equations (in the spirit of the Kolmogorov–Petrovskii–Piskunov problem for reaction-diffusion equations); and large deviations for infinite-dimensional systems described by stochastic partial differential equations.

Keywords

  • Invariant Measure
  • Wiener Process
  • Random Measure
  • Transition Density
  • Diffusion Matrix

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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  • DOI: 10.1007/978-3-642-25847-3_11
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Correspondence to Mark I. Freidlin .

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© 2012 Springer-Verlag Berlin Heidelberg

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Freidlin, M.I., Wentzell, A.D. (2012). Sharpenings and Generalizations. In: Random Perturbations of Dynamical Systems. Grundlehren der mathematischen Wissenschaften, vol 260. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25847-3_11

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