{"paper":{"title":"A note on the polynomial moments of the partition function in the SK model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Sergey Bocharov","submitted_at":"2015-09-16T00:55:47Z","abstract_excerpt":"We prove a simple identity relating the $k$th moment of the partition function $Z_N(\\cdot)$ in the SK model to the $N$th moment of the partition function $Z_k(\\cdot)$. As a corollary we find a characterisation of the limit $\\lim_{N \\to \\infty} \\frac{1}{N} \\log \\mathbb{E} Z_N(\\beta)^k$ alternative to the one found previously by Michel Talagrand in \\cite{4}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.04780","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}