{"id":"W2963780418","doi":"10.15407/mag11.04.311","title":"On a Limiting Distribution of Singular Values of Random Band Matrices","year":2015,"lang":"en","type":"article","venue":"Zurnal matematiceskoj fiziki analiza geometrii","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Limiting; Distribution (mathematics); Mathematics; Singular value; Statistics; Statistical physics; Random matrix; Asymptotic distribution; Mathematical analysis; Physics; Eigenvalues and eigenvectors; Engineering; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002683535,0.0009590243,0.001030481,0.002874165,0.0009509153,0.002491721,0.001472975,0.001348028,0.00431009],"category_scores_gemma":[0.01668534,0.0005966486,0.0009533642,0.001259905,0.003823828,0.003408826,0.001099959,0.001789331,0.001022973],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001371457,"about_ca_system_score_gemma":0.0007425011,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001784291,"about_ca_topic_score_gemma":0.001065436,"domain_scores_codex":[0.9992756,0.0002155894,0.00003834677,0.0001761947,0.000185451,0.0001087261],"domain_scores_gemma":[0.9938492,0.003299079,0.0009279152,0.0004894565,0.0008666261,0.0005676572],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00007538426,0.00006772265,0.001901062,0.000199791,0.00003700297,0.0007275312,0.000444264,0.04148526,0.01234177,0.9338058,0.001356095,0.007558259],"study_design_scores_gemma":[0.00002566089,0.00006385854,0.001999744,0.0001290812,0.00003364245,0.0009137056,0.0002430607,0.5891932,0.004525035,0.4009521,0.00181521,0.0001056792],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3198043,0.001930451,0.6515791,0.001546183,0.0001333277,0.0001240143,0.0004130866,0.0007457783,0.02372382],"genre_scores_gemma":[0.9510871,0.00259872,0.03294069,0.0002867181,0.000323911,0.0002453366,0.0005389983,0.0002540686,0.0117245],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00431009,"threshold_uncertainty_score":0.01441872,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0576139700539167,"score_gpt":0.3285665512965289,"score_spread":0.2709525812426122,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}