A.C.D. van Enter and E. de Groote
An ultrametric state space with a dense discrete
overlap distribution:
Paperfolding sequences
(30K, latex)
ABSTRACT. We compute the Parisi overlap distribution for paperfolding sequences. It
turns out to be discrete, and to live on the dyadic rationals. Hence it is a pure point measure whose support is the full interval [1; +1]. The space of paperfolding sequences has an ultrametric structure. Our example provides an illustration of some properties
which were suggested to occur for pure states in spin glass models.