Overview
- Describes an open and difficult mathematical problem, offering a new research field for young investigators
- Gives a brief but unified contrasting description of examination of dynamics from a trajectory or an ensemble point of view
- Highlights all of the problems attendant to the development of an appropriate measure to examine ergodic behavior in infinite-dimensional dynamical systems
- Presents possible applications of functional calculus to infinite dimensional dynamical systems
- Offers a motivated area of research combining different fields of mathematics
Part of the book series: Fields Institute Monographs (FIM, volume 38)
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Table of contents (9 chapters)
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Introduction and Background to Density Evolution Problems
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Illustrating the Problem and Making It Precise for Differential Delay Equations
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Possible Analytical Approaches
Keywords
About this book
Reviews
“The book is devoted to the problem of evolution of densities in dynamical systems described by delay differential equations. … The book is interesting and introduces the reader to the problem of the evolution of the densities. Indeed, formulating (if possible) such an evolution one is able to guess the asymptotic behavior of the solutions with known density of their initial values. The examples in the book are carefully selected in order to illustrate the main theoretical results.” (George Karakostas, zbMATH 1462.37001, 2021)
Authors and Affiliations
Bibliographic Information
Book Title: Density Evolution Under Delayed Dynamics
Book Subtitle: An Open Problem
Authors: Jérôme Losson, Michael C. Mackey, Richard Taylor, Marta Tyran-Kamińska
Series Title: Fields Institute Monographs
DOI: https://doi.org/10.1007/978-1-0716-1072-5
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC, part of Springer Nature 2020
Hardcover ISBN: 978-1-0716-1071-8Published: 24 October 2020
Softcover ISBN: 978-1-0716-1074-9Published: 24 October 2021
eBook ISBN: 978-1-0716-1072-5Published: 23 October 2020
Series ISSN: 1069-5273
Series E-ISSN: 2194-3079
Edition Number: 1
Number of Pages: IX, 138
Number of Illustrations: 28 b/w illustrations, 9 illustrations in colour
Topics: Analysis, Measure and Integration, Dynamical Systems and Ergodic Theory, Vibration, Dynamical Systems, Control, Probability Theory and Stochastic Processes