{"id":"W1967981968","doi":"10.1214/ecp.v16-1678","title":"Local Brownian property of the narrow wedge solution of the KPZ equation","year":2011,"lang":"en","type":"article","venue":"Electronic Communications in Probability","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Brownian motion; Lipschitz continuity; Wedge (geometry); Heat equation; Multiplicative function; Mathematical analysis; Logarithm; Mathematical physics; Reflected Brownian motion; Multiplicative noise; Stochastic differential equation; Geometric Brownian motion; Diffusion process; 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":[0.0008078687,0.000081231,0.0001830004,0.00004485149,0.0001772894,0.00000428413,0.001333152,0.00007391629,0.00002781913],"category_scores_gemma":[0.000317895,0.0000548251,0.0001011,0.0007196879,0.0005414015,0.00008506082,0.0003091795,0.0002791196,0.000009053708],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002737456,"about_ca_system_score_gemma":0.0002074512,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001808301,"about_ca_topic_score_gemma":0.002791585,"domain_scores_codex":[0.9988798,0.00004288337,0.0006500859,0.0001904912,0.00004352,0.0001932233],"domain_scores_gemma":[0.9974851,0.00005947563,0.0004530621,0.001894778,0.00009344744,0.000014106],"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":[0.000009829267,0.0003394916,0.01291129,0.00002626699,0.000006515567,1.744113e-9,0.0008975265,0.0000276862,0.00005697183,0.9830152,0.00001406349,0.002695097],"study_design_scores_gemma":[0.0001853254,0.00003524822,0.1193792,0.00002090149,0.000006730268,6.815347e-7,0.00003702544,0.005587855,0.0006668436,0.8720809,0.001919355,0.0000799702],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1924342,0.01043601,0.7241772,0.01038672,0.0003323446,0.004847087,0.0001557576,0.00006745047,0.05716321],"genre_scores_gemma":[0.9982312,0.00003715702,0.001375218,0.00002702634,0.0000048088,0.0002235423,0.000003443865,0.000006920602,0.00009072746],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.805797,"threshold_uncertainty_score":0.2733622,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08001248914755332,"score_gpt":0.2354466218119836,"score_spread":0.1554341326644303,"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."}}