Fractals in probability and analysis / Christopher J. Bishop and Yuval Peres.
Material type:
- 9781107134119 (hardback : alk. paper)
- 514.742 23 B622
Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
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Books | ISI Library, Kolkata | 514.742 B622 (Browse shelf(Opens below)) | Available | 138131 |
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514.742 Ad226 Fractals and chaos | 514.742 B252 Superfractals | 514.742 B268 Recent developments in fractals and related fields | 514.742 B622 Fractals in probability and analysis / | 514.742 C748 Fractal geometry and stochastics IV | 514.742 Ed23 Integral, probability, and fractal measures | 514.742 F177 Fractal geometry: matematical foundations and applications/ |
Includes bibliographical references and index.
1. Minkowski and Hausdorff dimensions;
2. Self-similarity and packing dimension;
3. Frostman's theory and capacity;
4. Self-affine sets;
5. Graphs of continuous functions;
6. Brownian motion, part I;
7. Brownian motion, part II;
8. Random walks, Markov chains and capacity;
9. Besicovitch-Kakeya sets;
10. The traveling salesman theorem;
Appendix A. Banach's fixed-point theorem;
Appendix B. Frostman's lemma for analytic sets;
Appendix C. Hints and solutions to selected exercises; References;
Index.
A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.
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