| 000 | 03023nam a22004815i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-45589-9 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151617.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 121227s2000 gw | s |||| 0|eng d | ||
| 020 |
_a9783540455899 _9978-3-540-45589-9 |
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| 024 | 7 |
_a10.1007/BFb0103999 _2doi |
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| 050 | 4 | _aQA370-380 | |
| 072 | 7 |
_aPBKJ _2bicssc |
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| 072 | 7 |
_aMAT007000 _2bisacsh |
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| 072 | 7 |
_aPBKJ _2thema |
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| 082 | 0 | 4 |
_a515.353 _223 |
| 100 | 1 |
_aKeller, Karsten. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 245 | 1 | 0 |
_aInvariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set _h[electronic resource] / _cby Karsten Keller. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2000. |
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| 300 |
_aXII, 208 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1732 |
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| 505 | 0 | _a1. Introduction: Quadratic iteration and Julia equivalences. The Mandelbrot set -- 2. Abstract Julia sets: Symbolic dynamics of the angle-doubling map. Invariant laminations. Julia equivalences -- 3. The Abstract Mandelbrot set: The Abstract Mandelbrot set - an atlas of Abstract Julia sets. The ordered Abstract Mandelbrot set. Renormalization. Correspondence and Translation Principles -- 4. Abstract and concrete theory: Quadratic iteration. Miscellaneous. Appendix: Invariant and completely invariant factors. Simple statements. Shift-invariant factors. Further interesting examples. | |
| 520 | _aThis book is mainly devoted to the combinatorics of quadratic holomorphic dynamics. The conceptual kernel is a self-contained abstract counterpart of connected quadratic Julia sets which is built on Thurston's concept of a quadratic invariant lamination and on symbolic descriptions of the angle-doubling map. The theory obtained is illustrated in the complex plane. It is used to give rigorous proofs of some well-known and some partially new statements on the structure of the Mandelbrot set. The text is intended for graduate students and researchers. Some elementary knowledge in topology and in functions of one complex variable is assumed. | ||
| 650 | 0 | _aDifferential equations, partial. | |
| 650 | 0 | _aTopology. | |
| 650 | 1 | 4 |
_aPartial Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12155 |
| 650 | 2 | 4 |
_aTopology. _0http://scigraph.springernature.com/things/product-market-codes/M28000 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783662206041 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540674344 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1732 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0103999 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-LNM | ||
| 912 | _aZDB-2-BAE | ||
| 999 |
_c11269 _d11269 |
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