Density Evolution Under Delayed Dynamics by Michael Mackey
This monograph has arisen out of a number of attempts spanning almost five decades to understand how one might examine the evolution of densities in systems whose dynamics are described by differential delay equations. Though the authors have no definitive solution to the problem, they offer this contribution in an attempt to define the problem as they see it, and to sketch out several obvious attempts that have been suggested to solve the problem and which seem to have failed. They hope that by being available to the general mathematical community, they will inspire others to consider-and hopefully solve-the problem. Serious attempts have been made by all of the authors over the years and they have made reference to these where appropriate.-
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Lectures on Sphere Arrangements – the Discrete Geometric Side
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Derivatives of Inner Functions
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Uniform Spaces and Measures
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Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations
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Optimal Stochastic Control, Stochastic Target Problems, and Backward SDE
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Free Probability and Random Matrices
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Calabi-Yau Varieties: Arithmetic, Geometry and Physics
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k-Schur Functions and Affine Schubert Calculus
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Large Deviations
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“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)
| SKU | Unavailable |
| ISBN 13 | 9781071610749 |
| ISBN 10 | 1071610740 |
| Title | Density Evolution Under Delayed Dynamics |
| Author | Michael Mackey |
| Series | Fields Institute Monographs |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 2021-10-24 |
| Number of pages | 138 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |