{"id":"W2056479858","doi":"10.1007/bf02595815","title":"First-passage problems for degenerate two-dimensional diffusion processes","year":2003,"lang":"en","type":"article","venue":"Test","topic":"stochastic dynamics and bifurcation","field":"Physics and Astronomy","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Polytechnique Montréal","funders":"","keywords":"Brownian motion; Diffusion process; Quadrant (abdomen); Bessel process; Degenerate energy levels; Bessel function; Mathematics; Physics; Series (stratigraphy); Diffusion; Mathematical analysis; Combinatorics; Mathematical physics; Quantum mechanics; Computer science; Orthogonal polynomials; Innovation diffusion","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":[0.009752056,0.001540452,0.003090722,0.003512738,0.002833836,0.004721436,0.00402751,0.005723527,0.006094667],"category_scores_gemma":[0.05486116,0.000923087,0.001538451,0.001121249,0.008896966,0.008077289,0.003863397,0.003205662,0.0002436],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003654495,"about_ca_system_score_gemma":0.002227803,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005136396,"about_ca_topic_score_gemma":0.001559024,"domain_scores_codex":[0.9983878,0.0008794349,0.00007823695,0.0002027526,0.00019684,0.0002550026],"domain_scores_gemma":[0.9585802,0.03385019,0.002157102,0.0007588197,0.001318636,0.003335136],"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":[0.0003858816,0.0001820766,0.001558512,0.0001574707,0.000089489,0.0005561771,0.0003232386,0.07503005,0.001201173,0.9165244,0.001245893,0.002745858],"study_design_scores_gemma":[0.00008677105,0.00005453113,0.0003957411,0.00003100906,0.0000191065,0.0001415365,0.000110965,0.6289852,0.000631673,0.3692493,0.0002509791,0.00004325309],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5184558,0.001638228,0.4465407,0.007181944,0.0004341115,0.0002432305,0.0003869812,0.0002646466,0.02485438],"genre_scores_gemma":[0.957339,0.0005256989,0.02898766,0.0002698991,0.0002234877,0.0001416551,0.0002826658,0.0001136127,0.01211639],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009752056,"threshold_uncertainty_score":0.05157441,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01163137423922434,"score_gpt":0.2316580967584565,"score_spread":0.2200267225192322,"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."}}