03492cam  2200541 i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000340013305000240016708200160019108400710020710000310027824501730030926400710048230000550055333600210060833700250062933800230065449000640067750400510074150504030079250600500119553300950124553800360134058800470137665000470142365000250147065000150149565001230151065000970163365000760173065001500180665000920195665001800204865001620222865001540239065000740254470000370261870000400265570000380269577601090273385600430284285600650288517868104RPAM20201007135328.0aa     b    001 0 cr/|||||||||||201007s2014    riua    ob    001 0 eng    a9781470414733 (online)  aDLCbengcDLCerdadDLCdRPAM00aQA274.25b.H47 201400a519.2/3223  a60H10a60J60a34D45a37H10a60F10a60J70a60K35a82C22a86A102msc1 aHerrmann, Samuel,eauthor.10aStochastic resonance :h[electronic resource] ba mathematical approach in the small noise limit /cSamuel Herrmann, Peter Imkeller, Ilya Pavlyukevich, Dierk Peithmann. 1aProvidence, Rhode Island :bAmerican Mathematical Society,c[2014]  a1 online resource (xvi, 189 pages : illustrations)  atext2rdacontent  aunmediated2rdamedia  avolume2rdacarrier0 aMathematical Surveys and Monographs, x2331-7159 ; vv. 194  aIncludes bibliographical references and index.00tChapter 1. Heuristics of noise induced transitionstChapter 2. Transitions for time homogeneous dynamical systems with small noisetChapter 3. Semiclassical theory of stochastic resonance in dimension 1tChapter 4. Large deviations and transitions between meta-stable states of dynamical systems with small noise and weak inhomogeneitytAppendix A. Supplementary toolstAppendix B. Laplace's method1 aAccess is restricted to licensed institutions  aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2013  aMode of access : World Wide Web  aDescription based on print version record. 0aStochastic partial differential equations. 0aDiffusion processes. 0aStability. 7aProbability theory and stochastic processes -- Stochastic analysis -- Stochastic ordinary differential equations.2msc 7aProbability theory and stochastic processes -- Markov processes -- Diffusion processes.2msc 7aOrdinary differential equations -- Stability theory -- Attractors.2msc 7aDynamical systems and ergodic theory -- Random dynamical systems -- Generation, random and stochastic difference and differential equations.2msc 7aProbability theory and stochastic processes -- Limit theorems -- Large deviations.2msc 7aProbability theory and stochastic processes -- Markov processes -- Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.).2msc 7aProbability theory and stochastic processes -- Special processes -- Interacting random processes; statistical mechanics type models; percolation theory.2msc 7aStatistical mechanics, structure of matter -- Time-dependent statistical mechanics (dynamic and nonequilibrium) -- Interacting particle systems.2msc 7aGeophysics -- Geophysics -- Meteorology and atmospheric physics.2msc1 aImkeller, Peter,d1951-eauthor.1 aPavlyukevich, Ilya,d1974-eauthor.1 aPeithmann, Dierk,d1972-eauthor.0 iPrint version: aHerrmann, Samuel,tStochastic resonance :w(DLC)   2013034700x0076-5376z97814704104904 3Contentsuhttps://www.ams.org/surv/1944 3Contentsuhttps://doi.org/http://dx.doi.org/10.1090/surv/194