{"id":"W2532666249","doi":"10.4153/cmb-2016-075-9","title":"Disjoint Hypercyclicity and Weighted Translations on Discrete Groups","year":2016,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Disjoint sets; Translation (biology); Characterization (materials science); Dual (grammatical number); Pure mathematics; Combinatorics; Discrete mathematics; Linguistics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0004330967,0.0002102271,0.0003245366,0.0001108088,0.000136284,0.00003997476,0.0001647717,0.0001367395,0.01155292],"category_scores_gemma":[0.0005786645,0.0001264355,0.00008371061,0.00006282559,0.000195145,0.00003835882,0.00001676686,0.000141958,0.005906711],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001112814,"about_ca_system_score_gemma":0.0000681824,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005934674,"about_ca_topic_score_gemma":0.0006439277,"domain_scores_codex":[0.9987085,0.0001094298,0.0003484377,0.0002562434,0.0001870896,0.0003903196],"domain_scores_gemma":[0.9978161,0.001057152,0.00004824664,0.0003432737,0.00004449615,0.000690661],"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":[0.0000175837,0.0000476161,0.0000504204,0.00004364574,0.00002733804,0.00006246196,0.0004789214,3.396317e-8,0.0002044859,0.9860433,0.01136944,0.001654704],"study_design_scores_gemma":[0.0008380597,0.0001224749,0.0003348655,0.0003268951,0.00006831325,0.0000568473,0.0001651282,0.00003426588,0.0003861922,0.9470221,0.05024332,0.0004014986],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9007057,0.00004422203,0.01183411,0.04227934,0.00008516667,0.0004838664,0.0001233523,0.0001087598,0.04433551],"genre_scores_gemma":[0.9932672,0.000008400901,0.002488619,0.001143318,0.0001060026,0.00002698868,0.000002145557,0.0000431858,0.002914134],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09256153,"threshold_uncertainty_score":0.9948673,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02563776679776448,"score_gpt":0.2528240651688954,"score_spread":0.227186298371131,"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."}}