Rotation sets and complex dynamics / (Record no. 9853)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01880nam a22002297a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 8668 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | IN-BhIIT |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20191021120048.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 180323s2018 nyu 000 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783319788098 (alk. paper) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | IN-BhIIT |
| 041 ## - LANGUAGE CODE | |
| Language code of text | eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 511.322 |
| Book number | ZAK/R |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Zakeri, Saeed. |
| Relator term | author |
| 245 10 - TITLE STATEMENT | |
| Title | Rotation sets and complex dynamics / |
| Statement of responsibility, etc | by Saeed Zakeri. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Cham, Switzerland : |
| Name of publisher | Springer, |
| Year of publication | 2018 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xiv, 122p. |
| Dimensions(size) | 23 c.m |
| 490 ## - SERIES STATEMENT | |
| Series statement | Lecture notes in mathematics (Springer-Verlag), 2214. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | <br/>"This monograph examines rotation sets under the multiplication by d (mod 1) map and their relation to degree d polynomial maps of the complex plane. These sets are higher-degree analogs of the corresponding sets under the angle-doubling map of the circle, which played a key role in Douady and Hubbard's work on the quadratic family and the Mandelbrot set. Presenting the first systematic study of rotation sets, treating both rational and irrational cases in a unified fashion, the text includes several new results on their structure, their gap dynamics, maximal and minimal sets, rigidity, and continuous dependence on parameters. This abstract material is supplemented by concrete examples which explain how rotation sets arise in the dynamical plane of complex polynomial maps and how suitable parameter spaces of such polynomials provide a complete catalog of all such sets of a given degree. As a main illustration, the link between rotation sets of degree 3 and one-dimensional families of cubic polynomials with a persistent indifferent fixed point is outlined. The monograph will benefit graduate students as well as researchers in the area of holomorphic dynamics and related fields"--Page 4 of cover. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Rotational motion. |
| Form subdivision | Set theory. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Technical Reference Book |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Date acquired | Full call number | Accession Number | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|
| Not withdrawn | Not Lost | not damaged | Central Library, IIT Bhubaneswar | Central Library, IIT Bhubaneswar | 21/10/2019 | 511.322 ZAK/R | 8669 | 21/10/2019 | Technical Reference Book |