Ergodic theory and fractal geometry / Hillel Furstenberg.

Format:

Book

Author/Creator:

Furstenberg, Harry, author.

Contributor:

Conference Board of the Mathematical Sciences.

National Science Foundation (U.S.)

Series:

CBMS Regional Conference Series in Mathematics, 2380-5668 ; v. 120

Language:

English

Subjects (All):

Ergodic theory--Congresses.

Ergodic theory.

Fractals--Congresses.

Fractals.

Physical Description:

1 online resource (ix, 69 pages : illustrations)

Place of Publication:

Providence, Rhode Island : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, [2014]

System Details:

Mode of access : World Wide Web

Contents:

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

Notes:

"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."

Includes bibliographical references (page 67) and index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2014

Description based on print version record.

Other Format:

Print version: Furstenberg, Harry. Ergodic theory and fractal geometry /

ISBN:

9781470418540 (online)

Access Restriction:

Restricted for use by site license.