| Description |
1 online resource (vi, 110 pages) |
| Series |
Memoirs of the American Mathematical Society, 1947-6221 ; no. volume 257, number 1235 |
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Memoirs of the American Mathematical Society ; no. 1235. 1947-6221
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| Contents |
Chapter 1. Introduction Chapter 2. Presentation of the results Chapter 3. Stability theory for Gevrey near-integrable maps Chapter 4. A quantitative KAM result -- proof of Part (i) of Theorem D Chapter 5. Coupling devices, multi-dimensional periodic domains, wandering domains Appendix A. \texorpdfstring Algebraic operations in $\mathscr O_k$Algebraic operations in O Appendix B. Estimates on Gevrey maps Appendix C. Generating functions for exact symplectic $Ĉ\infty $ maps Appendix D. Proof of Lemma 2.5 Acknowledgements |
| Summary |
A wandering domain for a diffeomorphism \Psi of \mathbb Ân=T̂*\mathbb T̂n is an open connected set W such that \Psi ̂k(W)\cap W=\emptyset for all k\in \mathbb Ẑ*. The authors endow \mathbb Ân with its usual exact symplectic structure. An integrable diffeomorphism, i.e., the time-one map \Phi ̂h of a Hamiltonian h: \mathbb Ân\to \mathbb R which depends only on the action variables, has no nonempty wandering domains. The aim of this paper is to estimate the size (measure and Gromov capacity) of wandering domains in the case of an exact symplectic perturbation of \Phi ̂h, in the analytic or |
| Notes |
"January 2019, volume 257, number 1235 (fifth of 6 numbers)." |
| Bibliography |
Includes bibliographical references (pages 109-110) |
| Notes |
Print version record |
| Subject |
Symplectic geometry.
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Symplectic groups.
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Domains of holomorphy.
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Domains of holomorphy
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Symplectic geometry
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Symplectic groups
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| Form |
Electronic book
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| Author |
Marco, Jean-Pierre, 1960- author.
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Sauzin, D., 1966- author.
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| ISBN |
1470449536 |
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9781470449537 |
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