{"id":"W3178494131","doi":"10.4171/jncg/509","title":"Connes' integration and Weyl's laws","year":2023,"lang":"en","type":"article","venue":"Journal of Noncommutative Geometry","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"National Natural Science Foundation of China; University of Ottawa","keywords":"Noncommutative geometry; Mathematics; Semiclassical physics; Pseudodifferential operators; Pure mathematics; Weyl algebra; Algebra over a field; Quantum; Quantum mechanics; Physics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001524659,0.0001266396,0.0003420967,0.0006235761,0.0001165375,0.00005459401,0.0002103211,0.00006619962,0.00009294885],"category_scores_gemma":[0.002776066,0.00009567092,0.00007847929,0.001055488,0.000127693,0.0004065424,0.0001225331,0.0005448508,0.00004404287],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008882977,"about_ca_system_score_gemma":0.00007283755,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002272737,"about_ca_topic_score_gemma":0.000007349021,"domain_scores_codex":[0.99854,0.0002091452,0.0004661773,0.0001026957,0.0004577167,0.0002242334],"domain_scores_gemma":[0.996852,0.002052114,0.0003129361,0.000155058,0.0004948973,0.000132956],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.001455477,0.00123285,0.02807239,0.001025563,0.001676322,0.002606336,0.0479689,0.00030389,0.06468187,0.2388326,0.0716964,0.5404474],"study_design_scores_gemma":[0.003383711,0.001582279,0.01524224,0.0004161878,0.00008819948,0.0006135565,0.02459481,0.001563605,0.01854743,0.9303095,0.003191875,0.0004666527],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9819599,0.0001941301,0.01576963,0.0008361965,0.0001601975,0.0001302381,0.000009417574,0.00003286888,0.0009073883],"genre_scores_gemma":[0.9816449,0.0001451773,0.01759405,0.00006875313,0.0001439935,0.000004578794,0.000002508796,0.00002791385,0.0003681719],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6914769,"threshold_uncertainty_score":0.3901347,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08230890195657523,"score_gpt":0.4178256793111903,"score_spread":0.335516777354615,"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."}}