{"id":"W2081918542","doi":"10.1080/10451120500114045","title":"On the Poisson equation for singular diffusions","year":2005,"lang":"en","type":"article","venue":"Stochastics","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo; University of Manitoba","funders":"","keywords":"Mathematics; Stochastic differential equation; Mathematical analysis; Eigenvalues and eigenvectors; Sobolev space; Covariance; Bounded function; Poisson's equation; Uniqueness; Applied mathematics","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":[0.0002048991,0.0001040913,0.0001463341,0.00006669835,0.0003310595,0.00004091997,0.0001879651,0.00006390962,0.0000645928],"category_scores_gemma":[0.0007719418,0.00009192267,0.00007472565,0.0001637736,0.00004322,0.00004417248,0.00002708117,0.00009175949,0.0004356683],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005880103,"about_ca_system_score_gemma":0.00001685641,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001313336,"about_ca_topic_score_gemma":0.000005522647,"domain_scores_codex":[0.9992311,0.000001308726,0.0002966724,0.0002284044,0.00003542815,0.0002070999],"domain_scores_gemma":[0.9991527,0.000319728,0.0001678959,0.0002653329,0.00005079747,0.0000435363],"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":[0.000008727767,0.00006424597,0.000004040801,0.000003823277,0.000006333249,3.706838e-8,0.0001505738,0.0006483177,0.00002258479,0.9960225,0.0007317344,0.002337107],"study_design_scores_gemma":[0.0002630287,0.00008516465,0.0002347277,0.000009299813,0.000007014941,6.054668e-7,0.00002753222,0.07022642,0.00004223609,0.8996863,0.02928022,0.0001374031],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.002696488,0.0002132417,0.9859339,0.006887774,0.0001783404,0.0004650243,0.0001756178,0.00003586156,0.003413744],"genre_scores_gemma":[0.9850987,0.000007254374,0.01249906,0.001204503,0.0004458586,0.0003104006,0.00002784993,0.00002472353,0.0003816842],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9824022,"threshold_uncertainty_score":0.5599779,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04932904687462685,"score_gpt":0.2410473415639984,"score_spread":0.1917182946893715,"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."}}