{"id":"W4409486219","doi":"10.1007/s00025-025-02406-5","title":"A Family of Surjective Composition Operators","year":2025,"lang":"en","type":"article","venue":"Results in Mathematics","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Winnipeg","funders":"","keywords":"Mathematics; Surjective function; Composition (language); Pure mathematics; Linguistics","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":[],"consensus_categories":[],"category_scores_codex":[0.001146924,0.0001536185,0.0004296962,0.0002099115,0.00004488906,0.00001533592,0.00022064,0.0001254537,0.00001066555],"category_scores_gemma":[0.0007352943,0.0001325934,0.00007042663,0.0004786696,0.0001198027,0.00006136511,0.00007155141,0.0001796497,0.00001326454],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008113255,"about_ca_system_score_gemma":0.00008889276,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001474795,"about_ca_topic_score_gemma":0.00001076262,"domain_scores_codex":[0.9985327,0.0001320925,0.0007611908,0.0001898029,0.0001989358,0.0001852757],"domain_scores_gemma":[0.9982821,0.0009833944,0.0001588032,0.0004137204,0.0001313101,0.00003068703],"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":[0.0001558957,0.0009017598,0.0002692958,0.000675388,0.00007969812,0.00001666277,0.005271084,0.00006477991,0.007212825,0.9825326,0.002348207,0.0004718631],"study_design_scores_gemma":[0.003448057,0.000120246,0.001164953,0.001913766,0.00008732243,0.000007686275,0.005213477,0.004045176,0.03475999,0.9485905,0.000280666,0.0003681609],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9099931,0.0000850177,0.006476148,0.0001091821,0.0001340883,0.0004555749,0.00005967493,0.00006100142,0.08262627],"genre_scores_gemma":[0.9739347,0.00002416702,0.02519977,0.00005775218,0.00001470359,0.00001937099,0.000006291765,0.00001710304,0.0007261921],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08190008,"threshold_uncertainty_score":0.5407001,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03170174009170402,"score_gpt":0.3238415712540387,"score_spread":0.2921398311623347,"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."}}