Conformal fractals : ergodic theory methods [E-Book] / Feliks Przytycki, Mariusz Urbański.
Przytycki, Feliks, (author)
Urbański, Mariusz, (author)
Cambridge : Cambridge University Press, 2010
1 online resource (x, 354 pages)
englisch
9780521438001
9781139193184
London Mathematical Society lecture note series ; 371
Full Text
Table of Contents:
  • Introduction
  • 1.
  • Basic examples and definitions
  • 2. Measure-preserving endomorphisms
  • 3.
  • Ergodic theory on compact metric spaces
  • 4.
  • Distance-expanding maps
  • 5.
  • Thermodynamical formalism
  • 6.
  • Expanding repellers in manifolds and in the Riemann sphere: preliminaries
  • 7.
  • Cantor repellers in the line; Sullivan's scaling function; application in Feigenbaum universality
  • 8.
  • Fractal dimensions
  • 9.
  • Conformal expanding repellers
  • 10.
  • Sullivan's classification of conformal expanding repellers
  • 11.
  • Holomorphic maps with invariant probability measures of positive Lyapunov exponent
  • 12.
  • Conformal measures.