{"id":"W2048946808","doi":"10.1090/s0002-9947-2010-05140-2","title":"Resolvents of ℛ-diagonal operators","year":2010,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada; Killam Trusts; Canada Council for the Arts; National Science Foundation","keywords":"Mathematics; Resolvent; Diagonal; Lambda; Operator (biology); Asymptotic formula; Combinatorics; Partition (number theory); Discrete mathematics; Pure mathematics; Geometry","routes":{"ca_aff":true,"ca_fund":true,"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":[0.00177118,0.001026269,0.0006542706,0.001804995,0.003234072,0.004292058,0.00146088,0.001570115,0.02909704],"category_scores_gemma":[0.00454846,0.0006808927,0.001558744,0.001341267,0.003079397,0.007315558,0.003615481,0.003167895,0.008571765],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002069065,"about_ca_system_score_gemma":0.0009023327,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002493694,"about_ca_topic_score_gemma":0.002013058,"domain_scores_codex":[0.9974382,0.0003834299,0.000191769,0.0005188736,0.0009454407,0.0005222664],"domain_scores_gemma":[0.9984359,0.000412595,0.0001374771,0.0002155375,0.0006194048,0.0001790453],"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":[0.00001627734,0.00001304724,0.00006855644,0.00002686876,0.000004951746,0.00009818272,0.0003265867,0.0001274263,0.0003806671,0.9899301,0.004485748,0.004521514],"study_design_scores_gemma":[0.00002250779,0.00001531191,0.00008418591,0.00003064059,0.00001118575,0.0001826161,0.0002792584,0.002288139,0.0020536,0.9445494,0.05045933,0.00002369905],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05638951,0.001320357,0.4919157,0.003262493,0.003405483,0.0001423781,0.001268903,0.002959192,0.439336],"genre_scores_gemma":[0.6343296,0.001203106,0.162028,0.002022049,0.001809142,0.0002753048,0.001733902,0.002976427,0.1936224],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02909704,"threshold_uncertainty_score":0.09733933,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01837866139106026,"score_gpt":0.3063198380492551,"score_spread":0.2879411766581948,"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."}}