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.Comment: 12 pages LaTeX, one eps figur
