{"id":"W3011318174","doi":"10.1016/j.jde.2023.02.059","title":"Well-posedness of the deterministic transport equation with singular velocity field perturbed along fractional Brownian paths","year":2023,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Vector field; Fractional Brownian motion; Mathematical analysis; Infimum and supremum; Uniqueness; Bounded function; Brownian motion; Hurst exponent; Compact space; Geometry","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":[0.0001842098,0.00009882034,0.0002625221,0.0001730789,0.0002020265,0.00002429614,0.0002283949,0.0000738465,0.0001046045],"category_scores_gemma":[0.0003064414,0.00007843413,0.0001578166,0.0004831113,0.00005687891,0.0001372102,0.00001793273,0.0001794568,0.00002200857],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004308853,"about_ca_system_score_gemma":0.0001246631,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008108191,"about_ca_topic_score_gemma":0.00005619193,"domain_scores_codex":[0.9988983,0.000007276817,0.0006975003,0.0001316158,0.0001296926,0.0001356222],"domain_scores_gemma":[0.9985602,0.0002412443,0.0008116212,0.0001657112,0.0001711822,0.00005003557],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","study_design_scores_codex":[0.0001680107,0.0005338172,0.01883145,0.0001122179,0.0002222513,0.000007512576,0.00177915,0.003207201,0.0008956259,0.9690549,0.0001330166,0.00505481],"study_design_scores_gemma":[0.001766629,0.0004895985,0.6736345,0.0001864827,0.000203614,0.00002781933,0.0002782456,0.06163228,0.000791071,0.2590773,0.001514604,0.0003978937],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2450877,0.00004227277,0.7533853,0.0007022935,0.0003436056,0.0001157827,0.00005196554,0.000008532033,0.0002625961],"genre_scores_gemma":[0.999135,0.00001096651,0.0004998373,0.00005335173,0.000168423,0.00001410214,0.00001699891,0.00001204613,0.00008928313],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7540473,"threshold_uncertainty_score":0.3198451,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0307560576219538,"score_gpt":0.2306562875490509,"score_spread":0.1999002299270971,"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."}}