Ergodic theory and fractal geometry
Material type: TextLanguage: English Series: Regional conference series in mathematics ; 120Publication details: Providence, Rhode Island, Conference Board of the Mathematical Sciences (CBMS) by the American Mathematical Society (AMS) 2017Edition: Indian EditionDescription: ix, 69 pISBN: 9781470437268 (PB)Subject(s): functions, and related topics Functional equations in the complex | Operator theory General theory of linear operators Ergodic theory | MathematicsCurrent library | Home library | Call number | Materials specified | Copy number | Status | Date due | Barcode |
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IMSc Library | IMSc Library | 519.23 FUR (Browse shelf (Opens below)) | Available | 77184 | |||
IMSc Library | IMSc Library | 519.23 FUR (Browse shelf (Opens below)) | 1 | Available | 77167 |
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
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