Combinations of complex dynamical systems /
Saved in:
| Author / Creator: | Pilgrim, Kevin M., 1967- |
|---|---|
| Imprint: | New York : Springer, 2003. |
| Description: | ix, 118 p. : ill. ; 24 cm. |
| Language: | English |
| Series: | Lecture notes in mathematics, 0075-8434 ; 1827 Lecture notes in mathematics (Springer-Verlag) ; 1827. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4965255 |
MARC
| LEADER | 00000nam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | 4965255 | ||
| 003 | ICU | ||
| 005 | 20050127111700.0 | ||
| 008 | 030903s2003 nyu b 001 0 eng | ||
| 010 | |a 2003055928 | ||
| 020 | |a 3540201734 (alk. paper) | ||
| 040 | |a DLC |c DLC |d OHX |d OrLoB-B |d UtOrBLW |d UtOrBLW | ||
| 042 | |a pcc | ||
| 049 | |a CGUA | ||
| 050 | 0 | 0 | |a QA3 |b .L28 no. 1827 |a QA614.8 |
| 072 | 7 | |a QA |2 lcco | |
| 082 | 0 | 0 | |a 510 s |a 515/.39 |2 22 |
| 100 | 1 | |a Pilgrim, Kevin M., |d 1967- |0 http://id.loc.gov/authorities/names/n2003004296 |1 http://viaf.org/viaf/74096896 | |
| 245 | 1 | 0 | |a Combinations of complex dynamical systems / |c Kevin M. Pilgrim. |
| 260 | |a New York : |b Springer, |c 2003. | ||
| 300 | |a ix, 118 p. : |b ill. ; |c 24 cm. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
| 337 | |a unmediated |b n |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/n | ||
| 338 | |a volume |b nc |2 rdacarrier |0 http://id.loc.gov/vocabulary/carriers/nc | ||
| 490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 1827 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |g 1. |t Introduction -- |g 1.1. |t Motivation from dynamics - a brief sketch -- |g 1.2. |t Thurston's Characterization and Rigidity Theorem. Standard definitions -- |g 1.3. |t Examples -- |g 1.4. |t Summary of this work -- |g 1.5. |t Survey of previous results -- |g 1.6. |t Analogy with three-manifolds -- |g 1.7. |t Connections -- |g 1.8. |t Discussion of combinatorial subtleties -- |g 1.9. |t Tameness assumptions -- |g 2. |t Preliminaries -- |g 2.1. |t Mapping trees -- |g 2.2. |t Map of spheres over a mapping tree -- |g 2.3. |t Map of annuli over a mapping tree -- |g 3. |t Combinations -- |g 3.1. |t Topological gluing data -- |g 3.2. |t Critical gluing data -- |g 3.3. |t Construction of combination -- |g 3.4. |t Summary: statement of Combination Theorem -- |g 3.5. |t Properties of combinations -- |g 4. |t Uniqueness of combinations -- |g 4.1. |t Structure data and amalgamating data -- |g 4.2. |t Combinatorial equivalence of sphere and annulus maps -- |g 4.3. |t Statement of Uniqueness of Combinations Theorem -- |g 4.4. |t Proof of Uniqueness of Combinations Theorem -- |g 5. |t Decomposition -- |g 5.1. |t Statement of Decomposition Theorem -- |g 5.2. |t Standard form with respect to a multicurve -- |g 5.3. |t Maps in standard forms are amalgams -- |g 5.4. |t Proof of Decomposition Theorem -- |g 6. |t Uniqueness of decompositions -- |g 6.1. |t Statement of Uniqueness of Decompositions Theorem -- |g 6.2. |t Proof of Uniqueness of Decomposition Theorem -- |g 7. |t Counting classes of annulus maps -- |g 7.1. |t Statement of Number of Classes of Annulus Maps Theorem -- |g 7.2. |t Proof of Number of Classes of Annulus Maps Theorem -- |g 8. |t Applications to mapping class groups -- |g 8.1. |t The Twist Theorem -- |g 8.2. |t Proof of Twist Theorem -- |g 8.3. |t When Thurston obstructions intersect -- |g 9. |t Examples -- |g 9.1. |t Background from complex dynamics -- |g 9.2. |t Matings -- |g 9.3. |t Generalized matings -- |g 9.4. |t Integral Lattes examples -- |g 10. |t Canonical Decomposition Theorem -- |g 10.1. |t Cycles of a map of spheres, and their orbifolds -- |g 10.2. |t Statement of Canonical Decomposition Theorem -- |g 10.3. |t Proof of Canonical Decomposition Theorem. |
| 650 | 0 | |a Differentiable dynamical systems. |0 http://id.loc.gov/authorities/subjects/sh85037882 | |
| 650 | 7 | |a Differentiable dynamical systems. |2 fast |0 http://id.worldcat.org/fast/fst00893426 | |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 1827. | |
| 901 | |a ToCBNA | ||
| 903 | |a HeVa | ||
| 035 | |a (OCoLC)123124295 | ||
| 929 | |a cat | ||
| 999 | f | f | |i d7b1e436-435b-5ae8-b583-4be4f5beefbc |s cfce7740-58ff-55f3-b528-4177769d0a52 |
| 928 | |t Library of Congress classification |a QA614.8.P55 2003 |l ASR |c ASR-SciASR |i 4709206 | ||
| 927 | |t Library of Congress classification |a QA614.8.P55 2003 |l ASR |c ASR-SciASR |e CRERAR |b 64272779 |i 7529293 | ||
