{"paper":{"title":"A central limit theorem for weighted averages of spins in the high temperature region of the Sherrington-Kirkpatrick model","license":"","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"math.PR","authors_text":"Dmitry Panchenko","submitted_at":"2004-05-18T21:54:57Z","abstract_excerpt":"In this paper we prove that in the high temperature region of the Sherrington-Kirkpatrick model for a typical realization of the disorder the weighted average of spins $\\sum_{i\\leq N} t_i \\sigma_i$ will be approximately Gaussian provided that $\\max_{i\\leq N}|t_i|/\\sum_{i\\leq N} t_i^2$ is small."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0405358","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"}