GOOD: This book is in good condition, showing the most wear on the corners. The pages are writing-free and were printed on acid-free paper.
Product Details
This is volume 260 inA Series of Comprehensive Studies in Mathematics (Grundlehren der mathematischen Wissenschaften).
From the back cover: "The authors' main tools are the large deviation theory, the central limit theorem for stochastic processes, and the averaging principle—all presented in great detail. The results allow for explicit calculations of the asymptotics of many interesting characteristics of the perturbed system. Most of the results are closely connected with PDEs, and the authors' approach presents a powerful method for studying the asymptotic behavior of the solutions of initial-boundary value problems for corresponding PDEs.
"The most essential additions and changes in this new edition concern the averaging principle. A new chapter on random perturbations of Hamiltonian systems has been added along with new results on fast oscillating perturbations of systems with conservation laws. New sections on wave front propagation in semilinear PDEs and on random perturbations of certain infinite-dimensional dynamical systems have been incorporated into the chapter on sharpenings and generalizations."
BRIEF CONTENTS
Preface to the Second Edition
Preface
Introduction
1. Random Perturbations
2. Small Random Perturbations on a Finite Time Interval
3. Action Functional
4. Gaussian Perturbations of Dynamical Systems. Neighborhood of an Equilibrium Point
5. Perturbations Leading to Markov Processes
6. Markov Perturbations on Large Time Intervals
7. The Averaging Principle. Fluctuations in Dynamical Systems with Averaging
