Entropy linearity and chain-recurrence

David Fried; Michael Shub

Publications Mathématiques de l'IHÉS (1979)

  • Volume: 50, page 203-214
  • ISSN: 0073-8301

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Fried, David, and Shub, Michael. "Entropy linearity and chain-recurrence." Publications Mathématiques de l'IHÉS 50 (1979): 203-214. <http://eudml.org/doc/103963>.

@article{Fried1979,
author = {Fried, David, Shub, Michael},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {entropy conjecture; affine manifold; chain-recurrence set; topological entropy; diffeomorphism; axiom A diffeomorphism with no cycles},
language = {eng},
pages = {203-214},
publisher = {Institut des Hautes Études Scientifiques},
title = {Entropy linearity and chain-recurrence},
url = {http://eudml.org/doc/103963},
volume = {50},
year = {1979},
}

TY - JOUR
AU - Fried, David
AU - Shub, Michael
TI - Entropy linearity and chain-recurrence
JO - Publications Mathématiques de l'IHÉS
PY - 1979
PB - Institut des Hautes Études Scientifiques
VL - 50
SP - 203
EP - 214
LA - eng
KW - entropy conjecture; affine manifold; chain-recurrence set; topological entropy; diffeomorphism; axiom A diffeomorphism with no cycles
UR - http://eudml.org/doc/103963
ER -

References

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  1. [1] Rufus BOWEN, Equilibrium States and the Ergodic Theory of Axiom A Diffeomorphisms, Lecture Notes in Math., n° 470, Springer, 1975. Zbl0308.28010
  2. [2] Rufus BOWEN, Entropy for Group Endomorphisms and Homogeneous Spaces, Trans. Amer. Math. Soc., 153 (1971), 401-414. Zbl0212.29201MR43 #469
  3. [3] Rufus BOWEN, Entropy vs. Homology for Certain Diffeomorphisms, Topology, 13 (1974), 61. Zbl0282.58010
  4. [4] Rufus BOWEN and D. RUELLE, The Ergodic Theory of Axiom A Flows, Inv. Math., 29 (1975), 181-202. Zbl0311.58010MR52 #1786
  5. [5] D. FRIED, W. GOLDMAN and M. HIRSCH, Affinely Flat Manifolds with Nilpotent Holonomy, to appear. Zbl0516.57014
  6. [6] Benjamin HALPERN, Morse-Smale Diffeomorphisms on Tori. To appear in Topology. Zbl0422.58020
  7. [7] HIRSCH, PUGH, SHUB, Invariant Manifolds, Lecture Notes in Math., n° 583, Springer, 1977. Zbl0355.58009MR58 #18595
  8. [8] John MILNOR, On Fundamental Groups of Complete Affinely Flat Manifolds, Adv. Math., 25 (1977), 178-187. Zbl0364.55001MR56 #13130
  9. [9] Morris NEWMAN, Integral Matrices, Academic Press, 1972. Zbl0254.15009
  10. [10] J. PALIS, On Morse-Smale Dynamical Systems, Topology, 8 (1969), p. 385. Zbl0189.23902MR39 #7620
  11. [11] William PARRY, Ergodic Properties of Affine Transformations and Flows on Nilmanifolds, Amer. J. of Math., 91 (1969), 757-771. Zbl0183.51503MR41 #5595
  12. [12] C. PUGH et al., On the Entropy Conjecture, Dynamical Systems-Warwick, 1974; Lecture Notes in Math., n° 468, Springer, 1975. Zbl0307.58017
  13. [13] R. SACKSTEDER and M. SHUB, Entropy of a Differentiable Map, Adv. Math., 28 (1978), 181-185. Zbl0414.58027MR80c:58021
  14. [14] M. SHUB, Stabilité globale des systèmes dynamiques, Astérisque, 56, 1978. Zbl0396.58014MR80c:58015
  15. [15] M. SHUB and D. SULLIVAN, Homology Theory and Dynamical Systems, Topology, 14 (1975), 109-132. Zbl0408.58023MR53 #4141
  16. [16] M. SHUB and R. F. WILLIAMS, Entropy and Stability, Topology, 14 (1975), 329-338. Zbl0329.58010MR54 #3760
  17. [17] D. B. RAY and I. M. SINGER, R-Torsion and the Laplacian on Riemannian Manifolds, Adv. Math., 7 (1971). Zbl0239.58014MR45 #4447

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