Modular curves, C* algebras, and chaotic cosmology
Abstract
Description
We make some brief remarks on the relation of the mixmaster universe model of chaotic cosmology to the geometry of modular curves and to noncommutative geometry. In particular we consider a class of solutions with bounded number of cycles in each Kasner era and describe their dynamical properties, which we relate to the noncommutative geometry of a moduli space of such solutions, given by a Cuntz-Krieger C*-algebra.
12 pages LaTeX, one eps figure
12 pages LaTeX, one eps figure