UID:
almahu_9949605165802882
Format:
1 online resource (ix, 69 pages : illustrations)
Edition:
Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2014
ISBN:
9781470418540 (online)
Series Statement:
CBMS Regional Conference Series in Mathematics, v. 120
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."
,
1. Introduction to fractals
,
2. Dimension
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3. Trees and fractals
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4. Invariant sets
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5. Probability trees
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6. Galleries
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7. Probability trees revisited
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8. Elements of ergodic theory
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9. Galleries of trees
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10. General remarks on Markov systems
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11. Markov operator $\mathcal {T}$ and measure preserving transformation $T$
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12. Probability trees and galleries
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13. Ergodic theorem and the proof of the main theorem
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14. An application: The $k$-lane property
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15. Dimension and energy
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16. Dimension conservation
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17. Ergodic theorem for sequences of functions
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18. Dimension conservation for homogeneous fractals: The main steps in the proof
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19. Verifying the conditions of the ergodic theorem for sequences of functions
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Mode of access : World Wide Web
Additional Edition:
Print version: Furstenberg, Harry. Ergodic theory and fractal geometry / ISSN 0160-7642 ISBN 9781470410346
Language:
English
