{"id":"W1618098293","doi":"10.1090/s0002-9947-02-03145-8","title":"The 𝐿^{𝑝} Dirichlet problem and nondivergence harmonic measure","year":2002,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":25,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"University of Minnesota; University of Chicago","keywords":"Mathematics; Harmonic measure; Measure (data warehouse); Dirichlet distribution; Mathematical analysis; Pure mathematics; Harmonic function","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":[0.0002627805,0.0001389961,0.000217984,0.00001025013,0.0003781781,0.00004828651,0.0008814138,0.00002621455,0.00001595368],"category_scores_gemma":[0.00006060026,0.00007840643,0.0002104227,0.0004859652,0.0005763621,0.0001636803,0.00007310032,0.0002423499,0.00001387494],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003304013,"about_ca_system_score_gemma":0.000009462315,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003473496,"about_ca_topic_score_gemma":4.147697e-7,"domain_scores_codex":[0.9988605,0.00003776767,0.0002822747,0.0002028078,0.0003526361,0.0002640257],"domain_scores_gemma":[0.9985644,0.0005235726,0.0001364416,0.0006418253,0.00005831082,0.00007545591],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001632628,0.001368454,0.00009455822,0.001116203,0.0009198815,0.00000234165,0.02187748,0.04960671,0.01378242,0.6417204,0.002552297,0.2669429],"study_design_scores_gemma":[0.0001225955,0.00005053713,0.00006572493,0.00006797261,0.00004360604,0.00001955384,0.0002086262,0.8870165,0.0008514803,0.1111893,0.0001870816,0.0001770833],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.003614374,0.0001858859,0.9929293,0.002369751,0.00004107577,0.000196953,0.000001662104,0.0001048076,0.0005561617],"genre_scores_gemma":[0.6501763,0.0001771084,0.3492728,0.00008561697,0.000007944828,0.00003239044,2.027795e-8,0.00001162572,0.0002361889],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8374097,"threshold_uncertainty_score":0.3197322,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01806748824151921,"score_gpt":0.230021474205956,"score_spread":0.2119539859644367,"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."}}