Published May 11, 1987
| Version v1
Journal article
Lyapunov exponent and bounds for the Hausdorff dimension of Julia sets of polynomial maps
Description
Some methods to get bounds for the Hausdorff dimension of the Julia set J of polynomial hyperbolic maps are given. In this case J is an Axiom-A repeller and a quasi-self-similar fractal: using thermodynamic formalism it is possible to get some relations which involve the Hausdorff dimension, the escape rate and the Lyapunov exponent of the balanced measure on J
Additional details
Publishing Information
- Journal Title
- Nuovo Cim., B
- Journal Volume
- 99
- Journal Issue
- 1
- Series
- Nuovo Cim., B.
- Journal Page Range
- 77-94
- ISSN
- 0369-3554
- CODEN
- NCIBA
INIS
- Country of Publication
- Italy
- Country of Input or Organization
- Italy
- INIS RN
- 19033645
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CLASSICAL MECHANICS; COORDINATES; LYAPUNOV METHOD; POLYNOMIALS; RIEMANN SPACE
- Descriptors DEC
- FUNCTIONS; MATHEMATICAL SPACE; MECHANICS; SPACE