On the origin of ultrametricity

Details On the origin of ultrametricity On the origin of ultrametricity

1999-05-13

arxiv.org/abs/cond-mat/9905189v2

J. Phys. A 33, 113 (2000).

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages, 1 figure

Scientific paper

10.1088/0305-4470/33/1/307

In this paper we show that in systems where the probability distribution of the the overlap is non trivial in the infinity volume limit, the property of ultrametricity can be proved in general starting from two very simple and natural assumptions: each replica is equivalent to the others (replica equivalence or stochastic stability) and all the mutual information about a pair of equilibrium configurations is encoded in their mutual distance or overlap (separability or overlap equivalence).

Affiliated with

Also associated with

No associations

Rating

On the origin of ultrametricity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the origin of ultrametricity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the origin of ultrametricity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-247729