| Dewey Class |
515/.48 |
| Title |
Ergodic theory and fractal geometry / ([EBook] ) / Hillel Furstenberg. |
| Author |
Furstenberg, Harry |
| Other name(s) |
Conference Board of the Mathematical Sciences |
| National Science Foundation (U.S.) |
| Publication |
Providence, Rhode Island : : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, , [2014] |
| , ©2014 |
| Physical Details |
1 online resource (ix, 69 pages : illustrations) |
| Series |
CBMS regional conference series in mathematics 2380-5668 ; ; 120 |
| ISBN |
9781470418540 (online) |
| Note |
"Support from the National Science Foundation." |
| "NSF-CBMS Regional Conference in the Mathematical Sciences on Ergodic Methods in the Theory of Fractals, held at Kent State University, June 18--23, 2011." |
| "With support from the National Science Foundation." |
| Contents note |
1. Introduction to fractals: 2. Dimension: 3. Trees and fractals: 4. Invariant sets: 5. Probability trees: 6. Galleries: 7. Probability trees revisited: 8. Elements of ergodic theory: 9. Galleries of trees: 10. General remarks on Markov systems: 11. Markov operator $\mathcal {T}$ and measure preserving transformation $T$: 12. Probability trees and galleries: 13. Ergodic theorem and the proof of the main theorem: 14. An application: The $k$-lane property: 15. Dimension and energy: 16. Dimension conservation: 17. Ergodic theorem for sequences of functions: 18. Dimension conservation for homogeneous fractals: The main steps in the proof: 19. Verifying the conditions of the ergodic theorem for sequences of functions: |
| Mode of acces to digital resource |
Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2014 |
| Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
https://www.ams.org/cbms/120 |
| See Also |
https://doi.org/10.1090/cbms/120 |
| Links to Related Works |
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