＜E-Book＞
The octogonal PETs / Richard Evan Schwartz
(Mathematical Surveys and Monographs. ISSN:23317159 ; v. 197)
| Publisher | (Providence, Rhode Island : American Mathematical Society) |
|---|---|
| Year | [2014] |
| Size | 1 online resource (pages cm.) |
| Authors | *Schwartz, Richard Evan |
| Subjects | LCSH:Polytopes LCSH:Geometry FREE:Dynamical systems and ergodic theory -- Low-dimensional dynamical systems -- Universality, renormalization All Subject Search FREE:Dynamical systems and ergodic theory -- Low-dimensional dynamical systems -- Maps of the interval (piecewise continuous, continuous, smooth) All Subject Search FREE:Dynamical systems and ergodic theory -- Low-dimensional dynamical systems -- Combinatorial dynamics (types of periodic orbits) All Subject Search |
| Contents | Chapter 1. Introduction Chapter 2. Background Chapter 3. Multigraph PETs Chapter 4. The alternating grid system Chapter 5. Outer billiards on semiregular octagons Chapter 6. Quarter turn compositions Chapter 7. Elementary properties Chapter 8. Orbit stability and combinatorics Chapter 9. Bilateral symmetry Chapter 10. Proof of the main theorem Chapter 11. The renormalization map Chapter 12. Properties of the tiling Chapter 13. The filling lemma Chapter 14. The covering lemma Chapter 15. Further geometric results Chapter 16. Properties of the limit set Chapter 17. Hausdorff convergence Chapter 18. Recurrence relations Chapter 19. Hausdorff dimension bounds Chapter 20. Controlling the limit set Chapter 21. The arc case Chapter 22. Further symmetries of the tiling Chapter 23. The forest case Chapter 24. The Cantor set case Chapter 25. Dynamics in the arc case Chapter 26. Computational methods Chapter 27. The calculations Chapter 28. The raw data |
| Notes | Includes bibliographical references Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2014 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/surv/197 Information=Contents HTTP:URL=https://doi.org/10.1090/surv/197 Information=Contents |
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| E-Book | Location | Media type | Volume | Call No. | Status | Reserve | Comments | ISBN | Printed | Restriction | Designated Book | Barcode No. |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| E-Book | オンライン | 電子ブック |
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Mathematical Surveys and Monographs | 9781470417185 |
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EB00103182 |
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