arXiv Analytics

Sign in

arXiv:2411.15377 [cond-mat.dis-nn]AbstractReferencesReviewsResources

P-adic numbers and kernels

Simone Franchini

Published 2024-11-22Version 1

We discuss the relation between p-adic numbers and kernels in view of a recent large deviation theory for mean-field spin glasses. As an application we show several fundamental properties of numerical bases in kernel language. In particular, we show that the Derrida's Generalized Random Energy Model is a perfectly legitimate (random) numerical base.

Comments: 17 pages, 6 figures
Subjects: 11Z05, G.2.1
Related articles: Most relevant | Search more
arXiv:cond-mat/0211695 (Published 2002-11-29)
The role of the interaction matrix in mean-field spin glasses
arXiv:1811.02339 [cond-mat.dis-nn] (Published 2018-11-06)
Large deviation theory of percolation on multiplex networks
arXiv:cond-mat/0208444 (Published 2002-08-23)
Numerical Results for Ground States of Mean-Field Spin Glasses at low Connectivities

Links

Toolbox