{"id":"W4294958148","doi":"10.1103/physreve.106.034114","title":"Selberg trace formula in hyperbolic band theory","year":2022,"lang":"en","type":"article","venue":"Physical review. E","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":34,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; University of Alberta","keywords":"Selberg trace formula; TRACE (psycholinguistics); Mathematics; Lattice (music); Mathematical analysis; Partition (number theory); Extension (predicate logic); Pure mathematics; Physics; Riemann hypothesis; Combinatorics","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":[0.0008389385,0.0005555382,0.0006782964,0.001920957,0.0009459931,0.002177689,0.001368041,0.001049155,0.003219024],"category_scores_gemma":[0.002579678,0.0002207625,0.0007167055,0.001134389,0.002534581,0.003493722,0.001133807,0.001236344,0.0005464741],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001200265,"about_ca_system_score_gemma":0.0007648629,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00123903,"about_ca_topic_score_gemma":0.0008271059,"domain_scores_codex":[0.9996943,0.00007089157,0.00001272104,0.00002856539,0.00013237,0.00006101539],"domain_scores_gemma":[0.9995951,0.0001283175,0.00004737927,0.00007024448,0.00009371002,0.00006521656],"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":[0.000006607613,0.000009296392,0.0001238122,0.00001299148,0.000003469411,0.00004241783,0.00007144673,0.002817631,0.0004033414,0.9941711,0.0002103961,0.002127553],"study_design_scores_gemma":[0.000006775068,0.000009419024,0.00008201949,0.00000844009,0.000002144077,0.00004014613,0.0000299637,0.02727396,0.0002569197,0.97178,0.0005048311,0.000005406333],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6270441,0.001788204,0.2821114,0.002170124,0.0004017148,0.0000736125,0.0001551745,0.0004639639,0.08579162],"genre_scores_gemma":[0.9606086,0.0006787498,0.02631244,0.0001708419,0.0001884056,0.00006677773,0.00008451,0.0001129835,0.01177669],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003219024,"threshold_uncertainty_score":0.01076877,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03267671737591259,"score_gpt":0.3618904359936339,"score_spread":0.3292137186177213,"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."}}