{"id":"W2097710222","doi":"10.1007/s10959-009-0237-3","title":"Stochastic Heat Equation with Multiplicative Fractional-Colored Noise","year":2009,"lang":"en","type":"article","venue":"Journal of Theoretical Probability","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":56,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Poisson kernel; Heat kernel; Heat equation; Kernel (algebra); Mathematical analysis; Brownian motion; Multiplicative noise; Fractional Brownian motion; Multiplicative function; Moment (physics); Combinatorics; Mathematical physics; Physics; Statistics","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":[0.001691484,0.001561257,0.002625131,0.001777444,0.001140623,0.003267075,0.00244504,0.004229834,0.004073062],"category_scores_gemma":[0.006986195,0.0009075392,0.002209916,0.001244584,0.004364433,0.004736295,0.003396028,0.002524568,0.0003736141],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00210565,"about_ca_system_score_gemma":0.001763716,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005920856,"about_ca_topic_score_gemma":0.002413683,"domain_scores_codex":[0.9989177,0.0003534038,0.00005330588,0.0002248396,0.000269203,0.0001815009],"domain_scores_gemma":[0.9970679,0.00141809,0.0003199117,0.0002123087,0.0005942375,0.0003875692],"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":[0.0001385277,0.0001048263,0.0007502198,0.0001094385,0.0001072312,0.0005956344,0.0001624718,0.2568723,0.004839715,0.7315461,0.001639924,0.003133494],"study_design_scores_gemma":[0.00003947692,0.00002385682,0.0002823128,0.000008871407,0.00003888858,0.0001348035,0.00003443642,0.9074451,0.0004759721,0.09077925,0.0006835776,0.000053284],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.133746,0.001777773,0.8289647,0.004493961,0.002779041,0.0001246649,0.0002972673,0.0003892687,0.0274273],"genre_scores_gemma":[0.9260561,0.0009148311,0.02104688,0.0007766411,0.001036475,0.0001050757,0.0001641329,0.0001473729,0.04975253],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005920856,"threshold_uncertainty_score":0.01527768,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02401527830011124,"score_gpt":0.2394459800128866,"score_spread":0.2154307017127754,"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."}}