Characteristic exponents of dynamical systems in metric spaces

1 March 1983

journal article
research article
Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems

Vol. 3 (1) , 119-127
https://doi.org/10.1017/s0143385700001838

Abstract

We introduce for dynamical systems in metric spaces some numbers which in the case of smooth dynamical systems turn out to be the maximal and the minimal characteristic exponents. These numbers have some properties similar to the smooth case. Analogous quantities are defined also for invariant sets.

Keywords

METRIC SPACES
CHARACTERISTIC EXPONENTS
DYNAMICAL SYSTEMS
MAXIMAL
ANALOGOUS
INVARIANT
MINIMAL
SPACES WE INTRODUCE
EXPONENTS OF DYNAMICAL

This publication has 3 references indexed in Scilit:

CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
Russian Mathematical Surveys, 1977
Subadditive Ergodic Theory
The Annals of Probability, 1973
The Ergodic Theory of Subadditive Stochastic Processes
Journal of the Royal Statistical Society Series B: Statistical Methodology, 1968