TY  - BOOK
AU  - Furstenberg, Hillel
TI  - Ergodic theory and fractal geometry 
T2  - Regional conference series in mathematics
SN  - 9781470437268 (PB)
PY  - 2017///
CY  - Providence, Rhode Island
PB  - Conference Board of the Mathematical Sciences (CBMS) by the American Mathematical Society (AMS)
KW  - functions, and related topics Functional equations in the complex
KW  - Operator theory General theory of linear operators Ergodic theory
N1  - Introduction to fractals
Dimension
Trees and fractals
Invariant sets
Probability trees
Galleries
Probability trees revisited
Elements of ergodic theory
Galleries of trees
General remarks on Markov systems
Markov operator T and measure preserving transformation T
Probability trees and galleries
Ergodic theorem and the proof of the main theorem
An application : the k-lane property
Dimension and energy
Dimension conservation
Ergodic theorem for sequences of functions
Dimension conservation for homogeneous fractals : the main steps in the proof
Verifying the conditions of the ergodic theorem for sequences of functions
N2  - Notes based on a series of lectures delivered at Kent State University in 2011
ER  -