{"id":"W3209834539","doi":"10.1216/rmj.2023.53.755","title":"SYMBOLIC SUBSTITUTIONS, BRATTELI DIAGRAMS AND OPERATOR ALGEBRAS","year":2023,"lang":"en","type":"article","venue":"Rocky Mountain Journal of Mathematics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"MacEwan University","funders":"Natural Sciences and Engineering Research Council of Canada; Universities Space Research Association","keywords":"Mathematics; Equivalence relation; Equivalence (formal languages); Pure mathematics; Invariant (physics); Operator (biology); Fibonacci number; Algebra over a field; Discrete mathematics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001046874,0.000144599,0.0002892337,0.0002119156,0.0001725117,0.0002530466,0.0006721866,0.00005862723,0.00001376813],"category_scores_gemma":[0.0002073896,0.0001114448,0.00007880564,0.000500252,0.0000531169,0.0005209314,0.0002073884,0.000180159,0.00008595348],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003619613,"about_ca_system_score_gemma":0.00008951165,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001901984,"about_ca_topic_score_gemma":0.000001207393,"domain_scores_codex":[0.9987037,0.00005923016,0.0004916391,0.0001367019,0.0003588628,0.0002498365],"domain_scores_gemma":[0.9988587,0.0003015743,0.0002497917,0.0003151771,0.0001236304,0.0001510919],"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":[0.000005260711,0.0003016902,0.001900156,0.0002571961,0.0001563507,0.0003797047,0.007438535,0.0004274621,0.00483633,0.9594442,0.008975172,0.01587792],"study_design_scores_gemma":[0.002645437,0.0006416012,0.008297098,0.001226234,0.0001661381,0.005818397,0.006735528,0.2541234,0.01436939,0.6940297,0.01060194,0.00134509],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8015925,0.0006972877,0.1960734,0.001053196,0.0002708395,0.00008878441,0.000002649073,0.0001106561,0.0001106808],"genre_scores_gemma":[0.9715016,0.0003800284,0.02746902,0.0003013459,0.0001770097,0.000003884121,0.000001156799,0.00001751127,0.0001484701],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2654145,"threshold_uncertainty_score":0.4544587,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0137436395996189,"score_gpt":0.2455872553297249,"score_spread":0.231843615730106,"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."}}