{"id":"W2064695582","doi":"10.1142/s021902571350001x","title":"FREE INFINITE DIVISIBILITY FOR ULTRASPHERICALS","year":2013,"lang":"en","type":"preprint","venue":"Infinite Dimensional Analysis Quantum Probability and Related Topics","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft","keywords":"Infinite divisibility; Divisibility rule; Mathematics; Distribution (mathematics); Gaussian; Pure mathematics; Physics; Mathematical analysis; Quantum mechanics","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001479197,0.0006271133,0.001608811,0.0002611273,0.0004047756,0.0001942802,0.000606151,0.001035831,0.0004022624],"category_scores_gemma":[0.002158615,0.0004944672,0.00124026,0.0009304651,0.0003857984,0.0001228231,0.0008762914,0.001052949,0.00001665995],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009092923,"about_ca_system_score_gemma":0.0001510203,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003034159,"about_ca_topic_score_gemma":0.00007077315,"domain_scores_codex":[0.995437,0.0003063196,0.001876495,0.001333818,0.0005483309,0.0004980121],"domain_scores_gemma":[0.9928938,0.003228937,0.0009081862,0.001952574,0.0007332772,0.000283186],"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":[0.0002850411,0.00247334,0.01377844,0.003425243,0.01165364,0.000007311348,0.001356229,0.01522601,0.00009054111,0.9423896,0.004672466,0.004642128],"study_design_scores_gemma":[0.0009009328,0.00006470967,0.005500637,0.00007798239,0.003541283,0.0000031994,0.00002751004,0.0606004,0.00001895556,0.9266115,0.00209086,0.0005620408],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9850585,0.0008682535,0.00568033,0.003616156,0.000295116,0.002659449,0.0008147164,0.0002472626,0.0007601951],"genre_scores_gemma":[0.9305543,0.0005583626,0.06317045,0.0003901843,0.0003094514,0.001506565,0.001280122,0.000101053,0.002129558],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05749012,"threshold_uncertainty_score":0.9997507,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04572712386601311,"score_gpt":0.3066636508380081,"score_spread":0.2609365269719949,"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."}}