Large Deviations and Adiabatic Transitions for Dynamical Systems and Markov Processes in Fully Coupled Averaging.
Kifer, Yuri.
Large Deviations and Adiabatic Transitions for Dynamical Systems and Markov Processes in Fully Coupled Averaging. - 1st ed. - 1 online resource (144 pages) - Memoirs of the American Mathematical Society ; v.201 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- Preface -- Part 1. Hyperbolic Fast Motions -- 1.1. Introduction -- 1.2. Main results -- 1.3. Dynamics of Φ[sup(t)][sub(ε)] -- 1.4. Large deviations: preliminaries -- 1.5. Large deviations: Proof of Theorem 1.2.3 -- 1.6. Further properties of S-functionals -- 1.7. "Very long" time behavior: exits from a domain -- 1.8. Adiabatic transitions between basins of attractors -- 1.9. Averaging in difference equations -- 1.10. Extensions: stochastic resonance -- 1.11. Young measures approach to averaging -- Part 2. Markov Fast Motions -- 2.1. Introduction -- 2.2. Preliminaries and main results -- 2.3. Large deviations -- 2.4. Verifying assumptions for random evolutions -- 2.5. Further properties of S-functionals -- 2.6. "Very long" time behavior: exits from a domain -- 2.7. Adiabatic transitions between basins of attractors -- 2.8. Averaging in difference equations -- 2.9. Extensions: stochastic resonance -- 2.10. Young measures approach to averaging -- Bibliography -- Index.
9781470405588
Averaging method (Differential equations).
Large deviations.
Differential equations -- Qualitative theory.
Attractors (Mathematics).
Electronic books.
QA372 -- .K536 2009eb
515/.352
Large Deviations and Adiabatic Transitions for Dynamical Systems and Markov Processes in Fully Coupled Averaging. - 1st ed. - 1 online resource (144 pages) - Memoirs of the American Mathematical Society ; v.201 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- Preface -- Part 1. Hyperbolic Fast Motions -- 1.1. Introduction -- 1.2. Main results -- 1.3. Dynamics of Φ[sup(t)][sub(ε)] -- 1.4. Large deviations: preliminaries -- 1.5. Large deviations: Proof of Theorem 1.2.3 -- 1.6. Further properties of S-functionals -- 1.7. "Very long" time behavior: exits from a domain -- 1.8. Adiabatic transitions between basins of attractors -- 1.9. Averaging in difference equations -- 1.10. Extensions: stochastic resonance -- 1.11. Young measures approach to averaging -- Part 2. Markov Fast Motions -- 2.1. Introduction -- 2.2. Preliminaries and main results -- 2.3. Large deviations -- 2.4. Verifying assumptions for random evolutions -- 2.5. Further properties of S-functionals -- 2.6. "Very long" time behavior: exits from a domain -- 2.7. Adiabatic transitions between basins of attractors -- 2.8. Averaging in difference equations -- 2.9. Extensions: stochastic resonance -- 2.10. Young measures approach to averaging -- Bibliography -- Index.
9781470405588
Averaging method (Differential equations).
Large deviations.
Differential equations -- Qualitative theory.
Attractors (Mathematics).
Electronic books.
QA372 -- .K536 2009eb
515/.352