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OverviewBackground and Scope of the Book This book continues, extends, and unites various developments in the intersection of probability theory and dynamical systems. I will briefly outline the background of the book, thus placing it in a systematic and historical context and tradition. Roughly speaking, a random dynamical system is a combination of a measure-preserving dynamical system in the sense of ergodic theory, (D,F,lP', (B(t))tE'lf), 'II'= JR+, IR, z+, Z, with a smooth (or topological) dy namical system, typically generated by a differential or difference equation :i: = f(x) or Xn+l = tp(x.,), to a random differential equation :i: = f(B(t)w,x) or random difference equation Xn+l = tp(B(n)w, Xn)· Both components have been very well investigated separately. However, a symbiosis of them leads to a new research program which has only partly been carried out. As we will see, it also leads to new problems which do not emerge if one only looks at ergodic theory and smooth or topological dynam ics separately. From a dynamical systems point of view this book just deals with those dynamical systems that have a measure-preserving dynamical system as a factor (or, the other way around, are extensions of such a factor). As there is an invariant measure on the factor, ergodic theory is always involved. Full Product DetailsAuthor: Ludwig ArnoldPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: Softcover reprint of hardcover 1st ed. 1998 Dimensions: Width: 21.00cm , Height: 3.10cm , Length: 27.90cm Weight: 1.479kg ISBN: 9783642083556ISBN 10: 3642083552 Pages: 586 Publication Date: 15 December 2010 Audience: Professional and scholarly , Professional and scholarly , Professional & Vocational , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviews"""Ludwig Arnold's monograph is going to make a very big impact for many years to come."" DMV Jahresbericht, 103. Band, Heft 2, July 2001" Ludwig Arnold's monograph is going to make a very big impact for many years to come. DMV Jahresbericht, 103. Band, Heft 2, July 2001 Ludwig Arnold's monograph is going to make a very big impact for many years to come. DMV Jahresbericht, 103. Band, Heft 2, July 2001 Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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