Institut Mittag-Leffler The Royal Swedish Academy of Sciences

Reports Institut Mittag-Leffler
ISSN: 1103-467X
ISRN: IML-R

Symbolic Dynamics of Quadratic Polynomials
Source file as Postscript Document Portable Document Format

Preprint series: Probability and Conformal Mappings - 2001/2002, No. 07

MSC 2000

37B10 Symbolic dynamics

37C25 Fixed points, periodic points, fixed-point index theory

37E15 Combinatorial dynamics (types of periodic orbits)

37E25 Maps of trees and graphs

37F20 Combinatorics and topology

37F45 Holomorphic families of dynamical systems; the Mandelbrot set; bifurcations

30D05 Functional equations in the complex domain, iteration and composition of analytic functions

37B20 Notions of recurrence

37C40 Smooth ergodic theory, invariant measures

37C45 Dimension theory of dynamical systems

37F35 Conformal densities and Hausdorff dimension

Keywords: Hubbard tree, quadratic polynomial, Julia set, Mandelbrot set, external angle, symbolic dynamics, kneading sequence, kneading theory, internal address, biaccessible point, algorithm