{"paper":{"title":"Virial expansion for almost diagonal random matrices","license":"","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.stat-mech","math-ph","math.MP","nucl-th","quant-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"Oleg Yevtushenko, Vladimir Kravtsov","submitted_at":"2003-01-21T17:57:56Z","abstract_excerpt":"Energy level statistics of Hermitian random matrices $\\hat H$ with Gaussian independent random entries $H_{i\\geq j}$ is studied for a generic ensemble of almost diagonal random matrices with $ <|H_{ii}|^{2} > \\sim 1$ and $<|H_{i\\neq j}|^{2} >= b {\\cal F}(|i-j|) \\ll 1$. We perform a regular expansion of the spectral form-factor $K(\\tau) = 1 + b K_{1}(\\tau) + b^{2} K_{2}(\\tau) + ... $ in powers of $b \\ll 1$ with the coefficients $K_{m}(\\tau)$ that take into account interaction of (m+1) energy levels. To calculate $K_{m}(\\tau)$, we develop a diagrammatic technique which is based on the Trotter fo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0301395","kind":"arxiv","version":2},"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"}