{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005968128,0.0002279736,0.0003774669,0.0001229462,0.00008456939,0.00004625233,0.0001943567,0.00007990051,0.0002406382],"category_scores_gemma":[0.001590507,0.0001949437,0.00004390724,0.0003166213,0.0001680769,0.0005525143,0.0000478407,0.0002959035,0.00003201384],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006541472,"about_ca_system_score_gemma":0.00003245847,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.559229e-7,"about_ca_topic_score_gemma":0.00004197161,"domain_scores_codex":[0.9983535,0.00008318127,0.000432492,0.0003047517,0.000358782,0.0004672239],"domain_scores_gemma":[0.9984652,0.000895985,0.00009140241,0.0003932736,0.00004837748,0.0001057954],"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":[0.00001051573,0.000370494,0.001711915,0.0006213422,0.00001724063,0.00004958163,0.002239928,0.0002080293,0.0003081276,0.9857893,0.00008402881,0.008589478],"study_design_scores_gemma":[0.0005390124,0.00004981969,0.0000725069,0.0001039091,0.00001044367,0.00005391212,0.001057093,0.002332986,0.002483628,0.9888136,0.004217486,0.0002655617],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.81354,0.01088007,0.07603884,0.0002401339,0.0003922284,0.001534466,0.00001878889,0.000287591,0.09706783],"genre_scores_gemma":[0.2470152,0.001445843,0.7500725,0.00003399535,0.00004533529,0.00006934712,0.000001105989,0.00007006664,0.001246582],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6740337,"threshold_uncertainty_score":0.7949572,"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."}}