{"id":"W1998217069","doi":"10.1016/j.jmaa.2013.06.058","title":"Hypoellipticity of certain infinitely degenerate second order operators","year":2013,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Degenerate energy levels; Linear operators; Order (exchange); Pure mathematics; Pseudodifferential operators; Mathematical analysis","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006963603,0.0001395547,0.000657765,0.0002245476,0.00008846173,0.00005336327,0.0001972691,0.00008194905,0.002260066],"category_scores_gemma":[0.0002249435,0.00009309426,0.000220603,0.0007811509,0.0001396005,0.0001271528,0.00004237161,0.0001730651,0.00003547822],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001299305,"about_ca_system_score_gemma":0.00004369488,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004419196,"about_ca_topic_score_gemma":0.000006561283,"domain_scores_codex":[0.9984371,0.00008919079,0.0009608436,0.0001246862,0.0002438958,0.0001442966],"domain_scores_gemma":[0.9980189,0.0004792967,0.0004674489,0.0002596264,0.0005966363,0.0001781384],"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":[0.0000173746,0.001287735,0.002408097,0.0004268812,0.002829867,0.000003993925,0.001007136,0.0001694243,0.0125651,0.9716939,0.001271566,0.006318933],"study_design_scores_gemma":[0.0007003187,0.000150879,0.001618869,0.00008035392,0.003085176,0.00006129883,0.001427427,0.00717864,0.01149198,0.9722421,0.001582466,0.0003805139],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7860522,0.0001189265,0.2120389,0.000224612,0.00000613471,0.0001914222,0.000009130508,0.000006929764,0.001351744],"genre_scores_gemma":[0.9645926,0.00004042563,0.03465459,0.00008963462,0.00006776304,0.00003498504,0.000001432193,0.00001310889,0.0005054954],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1785404,"threshold_uncertainty_score":0.998652,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02718488301413364,"score_gpt":0.2826543386068726,"score_spread":0.2554694555927389,"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."}}