A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms II

Electronic Research Announcements of the American Mathematical Society

Volumn 7, Issue 5, 2001, Pages 28-36

  Kaloshin, Vadim Yu ^a   Hunt, Brian R ^b  

^a PRINCETON UNIVERSITY   (United States)

^b Bldg 142   (United States)

Author keywords

Diffeomorphisms; Periodic points; Prevalence

Indexed keywords

EID: 85009723297     PISSN: None     EISSN: 10796762     Source Type: Journal    
DOI: 10.1090/S1079-6762-01-00091-9     Document Type: Article

References (6)

1. M. Golubitsky and V. Guillemin, Stable mappings and their singularities, Springer- Verlag, 1973. MR 49:6269
2. A. Grigoriev, S. Yakovenko, Topology of generic multijet preimages and blow-up via Newton interpolation, J. Diff. Equations 150 (1998), 349-362. MR 99m:58028
3. V. Yu. Kaloshin, Ph.D. thesis, Princeton University, 2001.
4. V. Kaloshin, Stretched exponential bound on growth of the number of periodic points for prevalent diffeomorphisms, part 1, in preparation.
5. V. Kaloshin, B. Hunt, Stretched exponential bound on growth of the number of periodic points for prevalent diffeomorphisms, part 2, in preparation.
6. L. Santalo, Integral geometry and geometric probability, Encycl. of Math. and its Appl., Vol. 1, Addison-Wesley, Reading, MA-London-Amsterdam, 1976. MR 55:6340