{"id":"W2004315127","doi":"10.4153/cjm-2005-009-2","title":"On the Duality between Coalescing Brownian Motions","year":2005,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"Concordia University; University of Alberta; Natural Sciences and Engineering Research Council of Canada","funders":"Natural Sciences and Engineering Research Council of Canada; Mitacs","keywords":"Brownian motion; Brownian excursion; Duality (order theory); Mathematics; Reflected Brownian motion; Martingale representation theorem; Geometric Brownian motion; Diffusion process; Measure (data warehouse); Statistical physics; Limit (mathematics); Real line; Mathematical analysis; Pure mathematics; Physics; Statistics; Computer science","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":[0.006177769,0.0005917656,0.001125016,0.00292625,0.001514689,0.003782799,0.001354595,0.001609024,0.004604853],"category_scores_gemma":[0.01927692,0.0006490666,0.001171058,0.001646686,0.004847033,0.005568366,0.003359705,0.003550564,0.0006982097],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001468718,"about_ca_system_score_gemma":0.0008345784,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000767405,"about_ca_topic_score_gemma":0.0003819764,"domain_scores_codex":[0.997375,0.001086343,0.0001358399,0.0003980473,0.0006957877,0.0003088923],"domain_scores_gemma":[0.9902537,0.005680778,0.00103077,0.0005372885,0.001545665,0.000951667],"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":[0.000009582211,0.00001012446,0.0001736267,0.000009562958,0.000003164576,0.000044484,0.00009448685,0.001058751,0.0002217881,0.9965336,0.0002294305,0.001611432],"study_design_scores_gemma":[0.00001216452,0.00002027212,0.0001767385,0.00001648297,0.000004520851,0.00009822465,0.00005420985,0.02100092,0.00020495,0.9765418,0.001861315,0.000008378232],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1939355,0.002347673,0.7588221,0.001957534,0.0003903014,0.00007424245,0.0001462518,0.0001260628,0.04220038],"genre_scores_gemma":[0.9003291,0.00158325,0.08255899,0.0008515136,0.000691751,0.0001489476,0.0002001214,0.0001735348,0.0134628],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006177769,"threshold_uncertainty_score":0.03267157,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06172198253195204,"score_gpt":0.2304006803927645,"score_spread":0.1686786978608124,"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."}}