Prevalence in the space of finitely smooth maps

Functional Analysis and its Applications

Volumn 31, Issue 2, 1997, Pages 95-99

  Kaloshin, V Yu ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 27544436473     PISSN: 00162663     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02466014     Document Type: Article

References (11)

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2. V. I. Arnold, Geometrical Methods in the Theory of Ordinary Differential Equations, Springer-Verlag, New York, 1983.
3. V. I. Arnold, A. N. Varchenko, and S. M. Gusein-Zade, Singularities of Differentiable Maps, Birkhäuser, 1985.
4. M. Golubitsky and V. Guillemin, Stable Mappings and Their Singularities, Springer-Verlag, New York-Heidelberg-Berlin, 1973.
5. J. Palis and V. De Melo, Geometrical Theory of Dynamical Systems, Springer-Verlag, New York-Heidelberg, 1982.
6. V. N. Sudakov, "Linear sets with quasi-invariant measure," Dokl. Akad. Nauk SSSR 127, 524-525 (1959).
7. M. Tsujii, "A measure on the space of smooth mappings and dynamical system theory," J. Math. Soc. Jpn., 44, No. 3, 415-425 (1992).
8. B. Hunt, T. Sauer, and J. A. Yorke, "Prevalence: a translation invariant almost every for infinite dimensional spaces," Bull. Am. Math. Soc., 27, 217-238 (1992); Prevalence: an addendum, 28, 306-307 (1993).
9. V. Yu. Kaloshin, "Some prevalent properties of smooth dynamical systems," in: Differential Equations with Real and Complex Time, Trudy Mat. Inst. Steklov., 213, 123-151 (1996).
10. A. N. Kolmogorov, Plenary talk on the International Congress in Amsterdam. 1954.
11. V. I. Arnold, Small Denominators I, Self-Mappings of the Circle, Izv. Akad. Nauk SSSR, Ser. Mat., 25, 21-86 (1961).