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Stochastic resonance : a mathematical approach in the small noise limit / Samuel Herrmann, Peter Imkeller, Ilya Pavlyukevich, Dierk Peithmann
(Mathematical Surveys and Monographs. ISSN:23317159 ; v. 194)

Publisher (Providence, Rhode Island : American Mathematical Society)
Year [2014]
Size 1 online resource (xvi, 189 pages : illustrations)
Authors *Herrmann, Samuel author
Imkeller, Peter 1951- author
Pavlyukevich, Ilya 1974- author
Peithmann, Dierk 1972- author
Subjects LCSH:Stochastic partial differential equations
LCSH:Diffusion processes
LCSH:Stability
FREE:Probability theory and stochastic processes -- Stochastic analysis -- Stochastic ordinary differential equations  All Subject Search
FREE:Probability theory and stochastic processes -- Markov processes -- Diffusion processes  All Subject Search
FREE:Ordinary differential equations -- Stability theory -- Attractors  All Subject Search
FREE:Dynamical systems and ergodic theory -- Random dynamical systems -- Generation, random and stochastic difference and differential equations  All Subject Search
FREE:Probability theory and stochastic processes -- Limit theorems -- Large deviations  All Subject Search
FREE:Probability theory and stochastic processes -- Markov processes -- Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.)  All Subject Search
FREE:Probability theory and stochastic processes -- Special processes -- Interacting random processes; statistical mechanics type models; percolation theory  All Subject Search
FREE:Statistical mechanics, structure of matter -- Time-dependent statistical mechanics (dynamic and nonequilibrium) -- Interacting particle systems  All Subject Search
FREE:Geophysics -- Geophysics -- Meteorology and atmospheric physics  All Subject Search
Contents Chapter 1. Heuristics of noise induced transitions
Chapter 2. Transitions for time homogeneous dynamical systems with small noise
Chapter 3. Semiclassical theory of stochastic resonance in dimension 1
Chapter 4. Large deviations and transitions between meta-stable states of dynamical systems with small noise and weak inhomogeneity
Appendix A. Supplementary tools
Appendix B. Laplace's method
Notes Includes bibliographical references and index
Access is restricted to licensed institutions
Electronic reproduction Providence, Rhode Island American Mathematical Society 2013
Mode of access : World Wide Web
Description based on print version record
HTTP:URL=http://www.ams.org/surv/194 Information=Contents
HTTP:URL=https://doi.org/10.1090/surv/194 Information=Contents
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Mathematical Surveys and Monographs 9781470414733
電子リソース
EB00103176

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Material Type E-Book
Classification LCC:QA274.25
DC23:519.2/3
ID 4000113122
ISBN 9781470414733

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