{"id":"W2337888084","doi":"10.1090/proc/13573","title":"Convex floating bodies as approximations of Bergman sublevel sets on tube domains","year":2017,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"","keywords":"Regular polygon; Diagonal; Pseudoconvex function; Mathematics; Bergman kernel; Invariant (physics); Affine transformation; Base (topology); Domain (mathematical analysis); Kernel (algebra); Pure mathematics; Geometry; Convex set; Mathematical analysis; Convex optimization","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00065686,0.0008001049,0.0007004054,0.002485782,0.0009021419,0.002956613,0.001146694,0.0008055818,0.004675115],"category_scores_gemma":[0.003222365,0.0004541728,0.0007776764,0.000608402,0.002373751,0.003032068,0.002668526,0.00240059,0.000677121],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001554942,"about_ca_system_score_gemma":0.0003935251,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001503428,"about_ca_topic_score_gemma":0.001483553,"domain_scores_codex":[0.9996015,0.00006398949,0.00001925352,0.00007039421,0.0001629423,0.00008191994],"domain_scores_gemma":[0.9988713,0.0003451045,0.0002232423,0.0000907803,0.0001881663,0.0002813717],"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":[0.00004207824,0.00002395402,0.0008405149,0.00006224812,0.00001669023,0.0001544272,0.0003757848,0.01239602,0.003692962,0.977375,0.0007185733,0.004301758],"study_design_scores_gemma":[0.00001986816,0.00008494369,0.002805477,0.0000870164,0.00002269882,0.0003039796,0.000506773,0.2491296,0.003172315,0.738803,0.00502367,0.00004068237],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5109757,0.0005552888,0.4568151,0.0004471438,0.0001104717,0.00006926149,0.0003635224,0.0002665781,0.03039697],"genre_scores_gemma":[0.9272696,0.0004853214,0.05609192,0.0001201469,0.0001139163,0.0001000306,0.0005172397,0.0002034833,0.01509833],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004675115,"threshold_uncertainty_score":0.01563984,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04892560111624428,"score_gpt":0.3312402970353774,"score_spread":0.2823146959191332,"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."}}