ERGODIC THEORY, GROUP THEORY AND DIFFERENTIAL GEOMETRY

Ergodic Theory, Group Theory and Differential Geometry.

6Hall, B. D., and S. Spiegelman, these PROCEEDINGS, 47,137(1961). 7Nygaard, A. P., and B. D. Hall, Biochem. Biophys. Res. Comm., 12, 98 (1963). 8 Adams, M. H., Bacteriophages (New York: Interscience Publishers, Inc., 1959), p. 446. 9 Kellenberger. G., M. L. Zichichi, and J. J. Weigle, these PROCEEDINGS, 47, 869 (1961). 10 Weigle, J., M. Meselson, and K. Paigen, J. Mot. Biol., 1, 379 (1960). 11 ...

Ergodic Theory, Groups, and Geometry

Computability theory and differential geometry

Let M be a smooth, compact manifold of dimension n ≥ 5 and sectional curvature |K| ≤ 1. Let Met(M) = Riem(M)/Diff(M) be the space of Riemannian metrics on M modulo isometries. Nabutovsky and Weinberger studied the connected components of sublevel sets (and local minima) for certain functions on Met(M) such as the diameter. They showed that for every Turing machine Te, e ∈ ω, there is a sequence...

Ergodic Theory and Number Theory

Elon Lindenstrauss was awarded the 2010 Fields Medal for his results on measure rigidity in ergodic theory, and their applications to number theory. The web page of the ICM 2010 contains the following brief description of Elon Lindenstrauss’ achievements: Lindenstrauss has made far-reaching advances in ergodic theory, the study of measure preserving transformations. His work on a conjecture of ...

Geometry and Ergodic Theory of Non-recurrent Elliptic Functions