{"id":"W4205641970","doi":"10.1002/mana.201900360","title":"Periodicity on isolated time scales","year":2022,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Uniqueness; Quantum; Calculus (dental); Time-scale calculus; Scale (ratio); Applied mathematics; Pure mathematics; Algebra over a field; Mathematical analysis; Quantum mechanics; Multivariable calculus","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":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0002375879,0.0001677307,0.000282161,0.00005372718,0.0004034558,0.0000506868,0.0002444868,0.00002327011,0.006701008],"category_scores_gemma":[0.000004716929,0.0001407506,0.0001328621,0.0002104749,0.00002948867,0.00005350081,0.0001572803,0.0002551037,0.001098865],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003532301,"about_ca_system_score_gemma":0.00001821279,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000875691,"about_ca_topic_score_gemma":4.078166e-7,"domain_scores_codex":[0.9988005,0.0001034847,0.0002605059,0.0002560923,0.0003176259,0.0002617586],"domain_scores_gemma":[0.9994135,0.00008237363,0.0001257046,0.0002736945,0.00001966564,0.00008500026],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0003431392,0.004437762,0.0216562,0.0001793675,0.0009091299,0.00005648064,0.003759069,0.003594097,0.02640862,0.8218695,0.0904116,0.02637502],"study_design_scores_gemma":[0.005320346,0.002121088,0.006494496,0.0001871588,0.000223291,0.00006620432,0.002901532,0.7108216,0.001288361,0.1080991,0.1594516,0.003025159],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8506067,0.00007393257,0.003953242,0.0003457724,0.0001306078,0.0003888029,0.0001973034,0.000159249,0.1441444],"genre_scores_gemma":[0.9946129,1.432136e-7,0.000133704,0.00008402845,0.0001158033,0.0001094112,0.00005915115,0.00002726368,0.00485763],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7137704,"threshold_uncertainty_score":0.9996789,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006057888943539753,"score_gpt":0.2124833494755951,"score_spread":0.2064254605320553,"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."}}