Random Perturbations

  • M. I. Freidlin
  • A. D. Wentzell
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 260)


We shall assume known the basic facts of the Lebesgue integral and measure theory, as well as probability theory. The necessary information concerning these topics is contained, for example, in the corresponding chapters of the book by Kolmogorov and Fomin [1] and in the book by Gikhman and Skorokhod [1]. In this chapter we introduce notation and recall some information from the theory of stochastic processes in an appropriate form. We shall not provide proofs but rather references to the pertinent literature.


Markov Process Random Process Gaussian Process Stochastic Differential Equation Wiener Process 
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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • M. I. Freidlin
    • 1
  • A. D. Wentzell
    • 2
  1. 1.Department of MathematicsUniversity of MarylandCollege ParkUSA
  2. 2.Department of MathematicsTulane UniversityNew OrleansUSA

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