论文信息 - Some relations between Hausdorff-dimensions and entropies - 字舞流文

Some relations between Hausdorff-dimensions and entropies

Some relations between the Hausdorff-dimensions and the entropies for expansive homeomorphisms on compact metric spaces are obtained.

Zuoling Zhou | Xiongping Dai | Xiongping Dai | Xiangyi Geng | Zuoling Zhou | X. Geng

[1] William L. Reddy. Expansive canonical coordinates are hyperbolic , 1983 .

[2] F. Ledrappier,et al. The metric entropy of diffeomorphisms Part II: Relations between entropy, exponents and dimension , 1985 .

[3] Anatole Katok,et al. On local entropy , 1983 .

[4] Equivalent conditions for hyperbolic coordinates , 1986 .

[5] F. Ledrappier,et al. Some relations between dimension and Lyapounov exponents , 1981 .

[6] L. Young. Dimension, entropy and Lyapunov exponents , 1982, Ergodic Theory and Dynamical Systems.

[7] R. Bowen. Entropy for group endomorphisms and homogeneous spaces , 1971 .

[8] A. Fathi. Expansiveness, hyperbolicity and Hausdorff dimension , 1989 .

[9] G. A. Edgar. Measure, Topology, and Fractal Geometry , 1990 .

[10] David Fried,et al. Finitely presented dynamical systems , 1987, Ergodic Theory and Dynamical Systems.