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Furstenberg, Hillel

Ergodic theory and fractal geometry - Indian Edition - Providence, Rhode Island, Conference Board of the Mathematical Sciences (CBMS) by the American Mathematical Society (AMS) 2017 - ix, 69 p - Regional conference series in mathematics 120 .

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

Notes based on a series of lectures delivered at Kent State University in 2011

ISBN: 9781470437268 (PB)

Subjects--Topical Terms:
functions, and related topics Functional equations in the complex
Operator theory General theory of linear operators Ergodic theory

Universal Decimal Class. No.: 519.23 / FUR