Self -Similar and Self-affine Sets and Measures/ (Record no. 23063)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01689nam a22001817a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240301b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9781470470463 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Dewey Decimal Classification number | 516.3 |
| Item number | BAR |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Barany, Balazs |
| 245 ## - TITLE STATEMENT | |
| Title | Self -Similar and Self-affine Sets and Measures/ |
| Statement of responsibility, etc | Balazs Barany, Karoly Simon and Boris Solomyak |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Providence, Rhode Island: |
| Name of publisher | American Mathematical Society, |
| Year of publication | 2023. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xii,451p. |
| 490 ## - SERIES STATEMENT | |
| Series statement | Mathematical Surveys and Monographs Volume 276 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Although there is no precise definition of a ""fractal"", it is usually understood to be a set whose smaller parts, when magnified, resemble the whole. Self-similar and self-affine sets are those for which this resemblance is precise and given by a contracting similitude or affine transformation. The present book is devoted to this most basic class of fractal objects. The book contains both introductory material for beginners and more advanced topics, which continue to be the focus of active research. Among the latter are self-similar sets and measures with overlaps, including the much-studied infinite Bernoulli convolutions. Self-affine systems pose additional challenges; their study is often based on ergodic theory and dynamical systems methods. In the last twenty years there have been many breakthroughs in these fields, and our aim is to give introduction to some of them, often in the simplest nontrivial cases. The book is intended for a wide audience of mathematicians interested in fractal geometry, including students. Parts of the book can be used for graduate and even advanced undergraduate courses. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|---|---|---|
| TIFR CAM Library | TIFR CAM Library | 3 | 516.3 BAR | M12238 | Books |