Kick stability in groups and dynamical systems

Nonlinearity

Volumn 14, Issue 5, 2001, Pages 1331-1363

  Polterovich, Leonid ^a   Rudnick, Zeev ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041077443     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/14/5/321     Document Type: Article

References (32)

1. Bavard C 1991 Longueur stable des commutateurs Enseign. Math. 37 109-50
2. Berend D and Bergelson V 1984 Ergodic and mixing sequences of transformations Ergodic Theor. Dynam. Syst. 4 353-66
3. Beardon A F 1983 The Geometry of Discrete Groups (Berlin: Springer)
4. Barge J and Ghys E 1988 Surfaces et cohomologie bornee Invent. Math. 92 509-26
5. Burger M and Monod N 1999 Bounded cohomology of lattices in higher rank Lie groups J. Eur. Math. Soc. 1 199-235 Burger M and Monod N 1999 J. Eur. Math. Soc. 1 338
6. Burger M and Monod N 1999 Bounded cohomology of lattices in higher rank Lie groups J. Eur. Math. Soc. 1 199-235 Burger M and Monod N 1999 J. Eur. Math. Soc. 1 338
7. Burger M and Monod N 2000 Continuous bounded cohomology and its applications Preprint
8. Baake M and Roberts J A G 1997 Reversing symmetry group of GL(2ℤ) and PGL(2ℤ) matrices with connection to cat maps and trace maps J. Phys. A: Math. Gen. 30 1549-73
9. Brooks R 1980 Some remarks on bounded cohomology Riemann Surfaces and Related Topics ed I Kra and B Maskit (Princeton, NJ: Princeton University Press) pp 53-63
10. Epstein D and Fujiwara K 1997 The second bounded cohomology of word-hyperbolic groups Topology 36 1275-89
11. Eliashberg Y and Polterovich L 1993 Bi-invariant metrics on the group of Hamiltonian diffeomorphisms Int. J. Math. 4 727-38
12. Field M and Parry W 1999 Stable ergodicity of skew extensions by compact Lie groups Topology 38 167-87
13. Filter W and Weber K 1997 Integration Theory (London: Chapman and Hall)
14. Hofer H 1990 On the topological properties of symplectic maps Proc. R. Soc. Edin. A 115 25-38
15. Haeri M B 1993 Chaos in Liouville's equation Phys. Rev. E 48 4215-20
16. Heagy J F 1992 A physical interpretation of the Henon map Physica D 57 436-46
17. Haake F, Kus M and Scharf R 1987 Classical and quantum chaos for a kicked top Z. Phys. B 65 381-95
18. Kifer Y 1998 Random dynamics and its applications Proc. ICM (Berlin) vol 2 pp 809-18
19. Kuipers L and Niederreiter H 1974 Uniform distribution of sequences Pure and Applied Mathematics (New York: Wiley)
20. Lalonde F, McDuff D and Polterovich L 1998 On the flux conjectures Proc. CRM Workshop on Geometry, Topology and Dynamics (Montreal, 1995) (CRM Special Series vol 15) ed F Lalonde (Providence, RI: American Mathematical Society) pp 69-85
21. Lamb J S W and Roberts J A G 1998 Time-reversal symmetry in dynamical systems. A survey Physica D 112 1-39
22. Polterovich L 1998 Hofer's diameter and Lagrangian intersections Int. Math. Res. Not. 4 217-23
23. Polterovich L 1998 Geometry on the group of Hamiltonian diffeomorphisms Proc. ICM (Berlin) vol 2, pp 401-10
24. Polterovich L 1999 Hamiltonian loops from the ergodic point of view J. Eur. Math. Soc. 1 87-107
25. Polterovich L 2001 Geometry of the Group of Symplectic Diffeomorphisms (Lectures in Mathematics ETH Zürich) (Boston, MA: Birkhäuser)
26. Picaud J-C 1997 Cohomologie bornee de surfaces et courants geodesiques Bull. Soc. Math. France 125 115-42
27. Polterovich L and Rudnick Z 2001 Kick stability for cat maps Preprint
28. Sell G 1971 Topological Dynamics and Ordinary Differential Equations (Van Nostrand Reinhold Mathematical Studies 33) (London: Van Nostrand Reinhold)
29. Timan A F 1963 Theory of Approximation of Functions of a Real Variable (International Series of Monographs in Pure and Applied Mathematics 34) (Oxford: Pergamon)
30. Viana M 1998 Dynamics: a probabilistic and geometric perspective Proc. ICM (Berlin) vol 1, pp 557-78
31. Zeghib A 1999 Isometry groups and geodesic foliations of Lorentz manifolds, parts I and II GAFA 9 775-854
32. Zimmer R J 1984 Ergodic Theory and Semisimple Groups (Monographs in Mathematics) (Boston, MA: Birkhäuser)