{"id":"W4399422829","doi":"10.4310/cntp.2024.v18.n1.a4","title":"Spectral geometry of functional metrics on noncommutative tori","year":2024,"lang":"en","type":"article","venue":"Communications in Number Theory and Physics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Noncommutative geometry; Mathematics; Geometry; Noncommutative algebraic geometry; Torus; Pure mathematics; Noncommutative quantum field theory; Computer science","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":[0.001357372,0.001239379,0.0009636726,0.004366478,0.002359939,0.004277053,0.001825851,0.001389964,0.008187507],"category_scores_gemma":[0.002498574,0.000660965,0.000671171,0.001686247,0.004150065,0.006699639,0.002316533,0.001550133,0.0007514958],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001932542,"about_ca_system_score_gemma":0.0007530984,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001233971,"about_ca_topic_score_gemma":0.001360132,"domain_scores_codex":[0.998937,0.0003557977,0.00006112111,0.0001791349,0.0002998804,0.0001672124],"domain_scores_gemma":[0.9981424,0.0004291124,0.0003174023,0.0001556168,0.000377048,0.0005783609],"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":[0.00001154449,0.00001126219,0.00009404679,0.00001470097,0.000002939866,0.00003921452,0.0001435802,0.0005861528,0.0003725921,0.9974693,0.0003740079,0.0008805808],"study_design_scores_gemma":[0.000007742826,0.00001688526,0.000400599,0.000007598268,0.000002561645,0.00008936326,0.000098923,0.005609281,0.0001558346,0.9926796,0.0009193444,0.00001221889],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7811992,0.001742271,0.1108159,0.004327856,0.001008537,0.0000608417,0.0004641329,0.0002730204,0.1001083],"genre_scores_gemma":[0.9742754,0.0005705038,0.008342207,0.0002614723,0.000674493,0.000035887,0.0002550356,0.0001229576,0.01546221],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008187507,"threshold_uncertainty_score":0.02738994,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09217510999971246,"score_gpt":0.4183745241595763,"score_spread":0.3261994141598639,"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."}}