Concepedia

Ergodic theory for axiom A endomorphisms

Min Qian, Zhusheng Zhang

Ergodic Theory and Dynamical Systems · 1995 · 45 citations · 10 references

DOI

Concepts

Abstract

Abstract In this paper the Pesin's entropy formula and ‘large ergodic theorem’ are constructed for Axiom A endomorphisms.

References

10

CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY

Ya. B. Pesin · Russian Mathematical Surveys · 1977 · 1.4K citations

, , +17

GIBBS MEASURES IN ERGODIC THEORY

Yakov G. Sinai · Russian Mathematical Surveys · 1972 · 1K citations

, , +15

The Metric Entropy of Diffeomorphisms: Part I: Characterization of Measures Satisfying Pesin's Entropy Formula

F. Ledrappier, Lai-Sang Young · Annals of Mathematics · 1985 · 564 citations

, , +8

A Measure Associated with Axiom-A Attractors

David Ruelle · American Journal of Mathematics · 1976 · 455 citations

, , +9

Some systems with unique equilibrium states

Rufus Bowen · Theory of Computing Systems · 1974 · 344 citations

, , +10