{"id":"W1840589071","doi":"10.1007/s11118-015-9508-z","title":"On the Harmonic Measure and Capacity of Rational Lemniscates","year":2015,"lang":"en","type":"article","venue":"Potential Analysis","topic":"Analytic and geometric function theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Mathematics; Measure (data warehouse); Lemma (botany); Potential theory; Holomorphic function; Pure mathematics; Harmonic function; Harmonic measure; Reflection (computer programming); Mathematical analysis; Computer science; Data mining","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002093574,0.001012053,0.001428953,0.004011063,0.002145624,0.003988694,0.002567576,0.002090031,0.0163918],"category_scores_gemma":[0.01203108,0.0005974956,0.0008484433,0.001942487,0.007594433,0.007854424,0.00445406,0.002214075,0.00081217],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00252209,"about_ca_system_score_gemma":0.0008734746,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002066655,"about_ca_topic_score_gemma":0.001224325,"domain_scores_codex":[0.9989616,0.0003478412,0.00004575446,0.0001520684,0.0002411315,0.0002516651],"domain_scores_gemma":[0.9928976,0.004397344,0.0007026218,0.0004360722,0.0005715848,0.0009947214],"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":[0.00001545308,0.000006109076,0.00008998136,0.00001674304,0.00000414534,0.00001737866,0.00006407148,0.002226205,0.0002163712,0.9960374,0.0003020785,0.00100418],"study_design_scores_gemma":[0.000006642064,0.000006198546,0.0001219566,0.00001139017,0.000002855803,0.00002354068,0.00005924316,0.01515395,0.0001286981,0.9841021,0.0003687967,0.00001461171],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6780165,0.001850549,0.1568276,0.004473859,0.0002581622,0.00006433904,0.0005736336,0.0002277356,0.1577075],"genre_scores_gemma":[0.9863913,0.0004820837,0.00332173,0.0001789877,0.0002555056,0.00003904295,0.0001869708,0.00007349739,0.009070944],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0163918,"threshold_uncertainty_score":0.05483609,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07270208957631945,"score_gpt":0.2604772919201394,"score_spread":0.1877752023438199,"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."}}