{"id":"W3091623047","doi":"10.1090/ecgd/361","title":"Quadrature domains and the real quadratic family","year":2021,"lang":"en","type":"preprint","venue":"Conformal Geometry and Dynamics of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Holomorphic function; Quadrature (astronomy); Mathematics; Mandelbrot set; Pure mathematics; Identity theorem; Quadratic equation; Mathematical analysis; Physics; Geometry","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":[0.0006768068,0.0003031641,0.0003029179,0.0008665258,0.001015664,0.001467508,0.0004744749,0.0004604225,0.005523075],"category_scores_gemma":[0.002110162,0.0001873269,0.0005291642,0.0003579077,0.001879557,0.001437108,0.001134625,0.0008719795,0.0003589302],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008581329,"about_ca_system_score_gemma":0.0003355153,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001194867,"about_ca_topic_score_gemma":0.000522487,"domain_scores_codex":[0.9996628,0.00008309637,0.00001191837,0.00006522919,0.00009996778,0.00007703444],"domain_scores_gemma":[0.9992519,0.0002448567,0.0001426462,0.00007293272,0.0001236883,0.0001640725],"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":[0.00001395746,0.00001412926,0.0005466232,0.00001758133,0.000004837348,0.00008700657,0.0001342748,0.001591591,0.0009327426,0.9931954,0.0003726268,0.003089231],"study_design_scores_gemma":[0.00004841086,0.00005390865,0.00122172,0.00002271279,0.000006902808,0.0002840717,0.0002122294,0.04058081,0.0008764148,0.951937,0.004735662,0.00002014642],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7812441,0.0009783522,0.1471066,0.00151341,0.0002674701,0.00005488314,0.0001336507,0.0001068137,0.06859462],"genre_scores_gemma":[0.9834883,0.0002539597,0.00735829,0.00008938652,0.0001157001,0.00001796741,0.00007325256,0.0000207739,0.008582346],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005523075,"threshold_uncertainty_score":0.01847655,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01357695112902287,"score_gpt":0.2754477857735106,"score_spread":0.2618708346444877,"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."}}