10-168 A.C.D. van Enter and E. de Groote

An ultrametric state space with a dense discrete overlap distribution: Paperfolding sequences (30K, latex) Oct 12, 10

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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.

Files: 10-168.src( 10-168.keywords , egoverlap3.tex )