{"id":"W4416193387","doi":"10.1214/24-aop1758","title":"Hyperbolic Anderson equations with general time-independent Gaussian noise: Stratonovich regime","year":2025,"lang":"","type":"article","venue":"The Annals of Probability","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Gaussian; Laplace transform; Moment (physics); Gaussian noise; Covariance; Brownian motion; Representation (politics); Gaussian process","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001482769,0.0003640139,0.0008113502,0.0002038965,0.0005174379,0.0001255783,0.0008596361,0.0002329901,0.0002220539],"category_scores_gemma":[0.0003553589,0.0003130234,0.0002485668,0.001346006,0.0006032976,0.0002346005,0.0001899373,0.000380886,0.0001659606],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009136422,"about_ca_system_score_gemma":0.0005376155,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000690695,"about_ca_topic_score_gemma":0.0001705391,"domain_scores_codex":[0.9970943,0.00003726107,0.001281056,0.0008672402,0.0001337166,0.0005864159],"domain_scores_gemma":[0.9969223,0.0002357809,0.0008653514,0.001447431,0.0004010356,0.0001280703],"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":[0.0001740737,0.0006905894,0.002188012,0.0002402644,0.0002009972,4.237201e-7,0.000481453,0.0006166727,0.00005776213,0.9914163,0.0003368778,0.003596557],"study_design_scores_gemma":[0.0007437442,0.0003259705,0.05254443,0.0001277403,0.00009523601,0.000002435751,0.0001240369,0.009849595,0.0006272283,0.9321445,0.002971149,0.0004439127],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2285043,0.008538099,0.6740946,0.04620149,0.0003238189,0.00324827,0.0008937183,0.00007281782,0.03812289],"genre_scores_gemma":[0.9952,0.0002266005,0.001630822,0.000611262,0.0001366125,0.0002322758,0.00002601907,0.000025111,0.001911302],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7666957,"threshold_uncertainty_score":0.9999322,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06562809295442981,"score_gpt":0.2866027472434163,"score_spread":0.2209746542889865,"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."}}