Escape from Domains of Attraction for Systems Perturbed by Noise

  • Donald Ludwig
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 75)


Deterministic theories have been remarkably successful in interpreting and explaining the world, although more precise formulations will always involve random effects. An outstanding example is classical mechanics, whose utility is hardly impaired by the existence of quantum effects. Intuitively, we may think of the deterministic trajectories as being smeared out by the random effects. Even if the smearing is large, the qualitative behavior may still be captured by the deterministic result.


Wiener Process Markov Chain Model Singular Perturbation Problem Great Leap High Dimensional Theory 
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Copyright information

© Plenum Press, New York 1981

Authors and Affiliations

  • Donald Ludwig
    • 1
  1. 1.Department of MathematicsUniversity of British ColumbiaVancouverCanada

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