The mathematical approach presented here differs from other approaches to stochastic resonance in that noise-induced random transitions in this model happen on time scales given by the exponential of the quotient of barrier height and noise amplification, and are due to large deviations. The topics are heuristics of noise-induced transitions, transitions for time-homogeneous dynamical systems with small noise, semi-classical theory of stochastic resonance in dimension one, and large deviations and transitions between meta-stable states of dynamical systems with small noise and weak inhomogeneity. Annotation ©2014 Book News, Inc., Portland, OR (booknews.com)
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Samuel Herrmann, Université de Bourgogne, Dijon, France
Peter Imkeller, Humboldt-Universität zu Berlin, Germany
Ilya Pavlyukevich, Friedrich-Schiller-Universität Jena, Germany
Dierk Peithmann, Essen, Germany
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