Prevalence: An addendum

Bulletin of the American Mathematical Society

Volumn 28, Issue 2, 1993, Pages 306-307

  Hunt, Brian R ^a   Sauer, Tim ^b   Yorke, James A ^a  

^a UNIVERSITY OF MARYLAND   (United States)

^b GEORGE MASON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84967782914     PISSN: 02730979     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0273-0979-1993-00396-3     Document Type: Note

References (16)

1. N. Aronszajn, Differentiability of Lipschitzian mappings between Banach spaces, Studia Math. 57 (1976), 147–190
2. J. M. Borwein, Minimal cuscos and subgradients of Lipschitz functions, Fixed Point Theory and its Applications, (J.-B. Baillon and M. Thera, eds.), Pitman Lecture Notes in Math., vol. 252, Longman, Essex, 1991
3. J. P. R. Christensen, On sets of Haar measure zero in abelian Polish groups, Israel J. Math. 13 (1972), 255–260
4. ——, Measure theoretic zero sets in infinite dimensional spaces and applications to differentiability of Lipschitz mappings, Publ. Dép. Math. (Lyon) 10 (1973), no. 2, 29–39
5. ——, Topology and Borel structure, North-Holland, Amsterdam, 1974
6. P. Fischer and Z. Slodkowski, Christensen zero sets and measurable convex functions, Proc. Amer. Math. Soc. 79 (1980), 449–453
7. B. R. Hunt, T. Sauer, and J. A. Yorke, Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces, Bull. Amer. Math. Soc. 27 (1992), 217–238
8. M. Jouak and L. Thibault, Directional derivatives and almost everywhere differentiability of biconvex and concave-convex operators, Math. Scand. 57 (1985), 215–224
9. P. Mankiewicz, On the differentiability of Lipschitz mappings in Fréchet spaces, Studia Math. 45 (1973), 15–29
10. ——, On topological, Lipschitz, and uniform classification of LF-spaces, Studia Math. 52 (1974), 109–142
11. J. Mycielski, Unsolved problems on the prevalence of ergodicity, instability and algebraic independence, Ulam Quarterly (to appear)
12. R. R. Phelps, Gaussian null sets and differentiability of Lipschitz map on Banach spaces, Pacific J. Math. 77 (1978), 523–531
13. L. Thibault, On generalized differentials and subdifferentials of Lipschitz vector-valued functions, Nonlinear Anal. Theory Methods Appl. 6 (1982), 1037–1053
14. M. Tsujii, A measure on the space of smooth mappings and dynamical system theory, J. Math. Soc. Japan 44 (1992), 415–425
15. ——, Rotation number and one-parameter families of circle diffeomorphisms, Ergodic Theory Dynamical Systems 12 (1992), 359–363
16. ——, Weak regularity of Lyapunov exponents in one dimensional dynamics, preprint