{"id":"W2006881770","doi":"10.1016/s0001-8708(02)00015-4","title":"Spectral flow and Dixmier traces","year":2003,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":95,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Ergodic theory; Toeplitz matrix; TRACE (psycholinguistics); Fredholm determinant; Pure mathematics; Differential operator; Character (mathematics); Algebra over a field","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":[0.001125709,0.000903365,0.0007131056,0.003670688,0.002515781,0.00346579,0.001015572,0.001611712,0.01083377],"category_scores_gemma":[0.002998821,0.0004172674,0.0007243469,0.002140568,0.003929811,0.009496539,0.002711695,0.003089096,0.0009880847],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001551908,"about_ca_system_score_gemma":0.0008258715,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001248105,"about_ca_topic_score_gemma":0.0008631168,"domain_scores_codex":[0.9995883,0.0000929733,0.0000229218,0.0000787981,0.0001351795,0.00008189222],"domain_scores_gemma":[0.9991832,0.000312152,0.00009650827,0.00008957114,0.0001556358,0.0001628902],"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":[0.000005585049,0.000004991713,0.00002438856,0.000004049095,8.637034e-7,0.00001064466,0.00005421257,0.00006635665,0.00007658362,0.9986884,0.0001964074,0.0008675757],"study_design_scores_gemma":[0.000003889376,0.000004322211,0.00004263938,0.000003239546,0.000001791436,0.00003668348,0.00004243055,0.0007719197,0.0001322949,0.9976609,0.001295644,0.000004258888],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.3984879,0.004064768,0.2163067,0.0113067,0.001701456,0.00007562323,0.000415448,0.000447564,0.3671938],"genre_scores_gemma":[0.9100588,0.00190393,0.01657882,0.000788024,0.00127436,0.00005061646,0.0001777057,0.0001260053,0.06904169],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01083377,"threshold_uncertainty_score":0.03624254,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02954481912762308,"score_gpt":0.358985292146871,"score_spread":0.3294404730192479,"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."}}