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Tale of Two Fractals A.A. Kirillov.

By: Publication details: New York: Springer Science + Business, 2013Description: xiii, 138 pages : illustrations (some color) ; 24 cmISBN:
  • 9780817683818 (hbk.)
Subject(s): DDC classification:
  • 514.742 K634T 23
LOC classification:
  • QA614.86 .K57 2013
Other classification:
  • 00A09 | 26A30 | 28A80 | 57S
Contents:
1. Definitions and general properties -- 2. The Laplace operator on the Sierpiński gasket -- 3. Harmonic functions on the Sierpiński gasket -- 4. Circles and disks on spheres -- 5. Definition of the Apollonian gasket -- 6. Arithmetic properties of Apollonian gaskets -- 7. Geometric and group-theoretic approach -- 8. Multidimensional Apollonian gaskets.
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Holdings
Item type Current library Call number Status Date due Barcode
Books Books Central Library, IISER Bhopal General Section 514.742 K634T (Browse shelf(Opens below)) Available 7028
Browsing Central Library, IISER Bhopal shelves, Shelving location: General Section Close shelf browser (Hides shelf browser)
514.74 B77I Introduction to dynamics systems 514.74 M896D Differential Topology 514.74 P350C2 Chaos and Fractals : 514.742 K634T Tale of Two Fractals 515.2433T329H Harmonic analysis on hisenberg group 515.26076V559I Inequalities : 515.48K124O Outline of ergodic theory

Includes bibliographical references and index.

1. Definitions and general properties -- 2. The Laplace operator on the Sierpiński gasket -- 3. Harmonic functions on the Sierpiński gasket -- 4. Circles and disks on spheres -- 5. Definition of the Apollonian gasket -- 6. Arithmetic properties of Apollonian gaskets -- 7. Geometric and group-theoretic approach -- 8. Multidimensional Apollonian gaskets.

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