One-Dimensional Dynamics From Poincaré to renormalization /
The aim of the book is to give an introduction to the main concepts in modern dynamics. The Herman Theorem on rigidity of circle diffeomoprhisms is used to achieve this goal. Indeed, we reprove this sophisticated theorem with modern techniques involving renormalization and, in the meantime, discuss m...
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| Aineistotyyppi: | Elektroninen E-kirja |
| Kieli: | englanti |
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Springer Nature Switzerland : Imprint: Springer,
2025.
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| Painos: | 1st ed. 2025. |
| Sarja: | Lecture Notes of the Unione Matematica Italiana,
30 |
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| Linkit: | https://doi.org/10.1007/978-3-031-94882-4 |
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| 100 | 1 | |a Dong, Yiheng. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a One-Dimensional Dynamics |h [electronic resource] : |b From Poincaré to renormalization / |c by Yiheng Dong, Marco Martens, Liviana Palmisano. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2025. | |
| 300 | |a 1 online resource (X, 181 p. 25 illus.). | ||
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| 490 | 1 | |a Lecture Notes of the Unione Matematica Italiana, |x 1862-9121 ; |v 30 | |
| 505 | 0 | |a Chapter 1. Introduction -- Chapter 2. Topology of Circle Homeomorphisms -- Chapter 3. Topology of Circle Diffeomorphisms -- Chapter 4. Renormalization -- Chapter 5. The Three Ingredients for Convergence of Renormalization -- Chapter 6. The Collaboration of the Three Ingredients -- Chapter 7. Exponential Convergence -- Chapter 8. Geometry of Circle Diffeomorphisms -- Chapter 9. Non-Rigidity -- Chapter 10. The Renormalization Horseshoe. | |
| 520 | |a The aim of the book is to give an introduction to the main concepts in modern dynamics. The Herman Theorem on rigidity of circle diffeomoprhisms is used to achieve this goal. Indeed, we reprove this sophisticated theorem with modern techniques involving renormalization and, in the meantime, discuss most of the important concepts used in dynamics. The one-dimensional context of the Herman Theorem reduces the technical difficulties and allows to present tools and theories to students with modest background. The book can definitely be used on Master's level. | ||
| 532 | 8 | |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility, including screen reader support, described non-text content (images, graphs), bookmarks for easy navigation, keyboard-friendly links and forms and searchable, selectable text. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. Please note that a more accessible version of this eBook is available as ePub. | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
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| 700 | 1 | |a Palmisano, Liviana. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
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