TY - MANSCPT AU - Herrmann,Samuel AU - Imkeller,Peter AU - Pavlyukevich,Ilya AU - Peithmann,Dierk TI - Stochastic resonance: a mathematical approach in the small noise limit T2 - Mathematical surveys and monographs SN - 9781470410490 (hardback) PY - 2014///] CY - Providence, Rhode Island PB - American Mathematical Society KW - Stochastic partial differential equations KW - Diffusion processes KW - Stability N1 - Includes bibliographical references (pages 183-187) and index; Preface -- Introduction -- Heuristics of Noise Induced Transitions -- Transitions for time Homogeneous Dynamical Systems with Small Noise -- Semiclassical Theory of Stochastic Resonance in Dimension 1 -- 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 -- Bibliography -- Index ER -