Jean-Dominique Deuschel; Barbara Gentz; Wolfgang König; Max von Renesse; Michael Scheutzow; Uwe Schmock Springer-Verlag Berlin and Heidelberg GmbH & Co. KG (2012) Kovakantinen kirja
Barbara Arndt; Karin Arnold; Volkmar Dietrich; Andreas Eberle; Dorett Gentzen; Hiltraut Hohendorf; Christiane Hommel; Lip Volk u. Wissen Vlg GmbH (2015) Pehmeäkantinen kirja
Jean-Dominique Deuschel (ed.); Barbara Gentz (ed.); Wolfgang König (ed.); Max von Renesse (ed.); Michael Scheutzow (ed.) Springer (2014) Pehmeäkantinen kirja
Stochastic differential equations play an increasingly important role in modeling the dynamics of a large variety of systems in the natural sciences, and in technological applications. This book is aimed at advanced undergraduate and graduate students, and researchers in mathematics, physics, the natural sciences, and engineering. It presents a new constructive approach to the quantitative description of solutions to systems of stochastic differential equations evolving on well-separated timescales. The method, which combines techniques from stochastic analysis and singular perturbation theory, allows the domains of concentration for typical sample paths to be determined, and provides precise estimates on the transition probabilities between these domains.
In addition to the detailed presentation of the set-up and mathematical results, applications to problems in physics, biology, and climatology are discussed.
