Rigorous Solution of the Gardner Problem

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dc.creatorShcherbina, M.
dc.creatorTirozzi, B.
dc.date2001-12-03
dc.date.accessioned2026-07-07T04:28:48Z
dc.date.available2026-07-07T04:28:48Z
dc.descriptionWe prove rigorously the well-known result of Gardner about the typical fractional volume of interactions between N spins which solve the problem of storing a given set of random patterns. The Gardner formula for this volume in the limit N,p \to \infty, p/N \to αis proven for all values of α. Besides, we prove a useful criterion of the factorisation of all the correlation functions for a class of spin glass model.
dc.description38 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0112003
dc.identifierhttp://arxiv.org/abs/math-ph/0112003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56925
dc.subjectMathematical Physics
dc.titleRigorous Solution of the Gardner Problem
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