Modular curves, C* algebras, and chaotic cosmology
Marcolli, Matilde
arXiv, 0312035 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-12-11
Classification:  Mathematical Physics,  83F05, 58B34, 11A55 
@article{0312035,
     author = {Marcolli, Matilde},
     title = {Modular curves, C* algebras, and chaotic cosmology},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0312035}
}

Marcolli, Matilde. Modular curves, C* algebras, and chaotic cosmology. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0312035/