Ergodic theory and fractal geometry /
Hillel Furstenberg.
- India Universities Press 2014
- ix, 69 pages : illustrations ; 26 cm.
- Conference Board of the Mathematical Sciences Regional Conference series in mathematics ; number 120 .
"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.
Ergodic theory--Congresses. Fractals--Congresses. Measure and integration -- Classical measure theory -- Fractals. Dynamical systems and ergodic theory -- Ergodic theory -- Ergodic theorems, spectral theory, Markov operators. Functions of a complex variable -- Entire and meromorphic functions, and related topics -- Functional equations in the complex domain, iteration and composition of analytic functions. Dynamical systems and ergodic theory -- Complex dynamical systems -- Holomorphic families of dynamical systems; the Mandelbrot set; bifurcations. Operator theory -- General theory of linear operators -- Ergodic theory.