On the dimension of deterministic and random Cantor-like sets, symbolic dynamics, and the Eckmann-Ruelle Conjecture-Reference-Cited by-同舟云学术

On the dimension of deterministic and random Cantor-like sets, symbolic dynamics, and the Eckmann-Ruelle Conjecture

Published:1996-12 Issue:1 Volume:182 Page:105-153
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun.Math. Phys.

Author:

Pesin Yakov,Weiss Howard

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/BF02506387.pdf

Reference47 articles.

1. [AJ] Alekseyev, V., Jakobson, M.: Symbolic dynamics and Hyperbolic Dynamical Systems. Phys. Rep.75, 287–325 (1981)

2. [AS] Afraimovich, V., Shereshevsky, M.: The Hausdorff Dimension of Attractors Appearing by Saddle-Node Bifurcations. Int. J. Bifurcation and Chaos1:2, 309–325 (1991)

3. [Ba] Barreira, L.: Cantor Sets with Complicated Geometry and Modeled by General Symbolic Dynamics. To appear, Random and Computational Dynamics (1995)

4. [BFKO] Bourgain, J.: Pointwise Ergodic Theorems for Arithmetic Sets, with an Appendix by J. Bourgain, H. Furstenberg, Y. Katznelson, and D. Ornstein. Publ. Math. IHES69, 5–45 (1989)

5. Lecture Notes in Mathematics;M. Brin,1981

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