{"id":"W4405378001","doi":"10.1007/s00028-024-01032-y","title":"A stochastic porous media Schrödinger equation: Feynman-type motivation, well-posedness and control interpretation","year":2024,"lang":"en","type":"article","venue":"Journal of Evolution Equations","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"Shandong University; National Science Foundation","keywords":"Mathematics; Monotonic function; Uniqueness; Feynman diagram; Path integral formulation; Type (biology); Operator (biology); Mathematical analysis; Schrödinger equation; Applied mathematics; Mathematical physics; Quantum mechanics; Quantum; Physics","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":[0.001106211,0.0008619541,0.00122043,0.001086139,0.0009950707,0.002753392,0.00129114,0.003134308,0.002941126],"category_scores_gemma":[0.002844365,0.0004776949,0.0009097258,0.0006009501,0.00323324,0.00339963,0.002064516,0.00222304,0.0002303461],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001294715,"about_ca_system_score_gemma":0.001557977,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002841573,"about_ca_topic_score_gemma":0.001549162,"domain_scores_codex":[0.999541,0.0001397777,0.00002543571,0.0001066554,0.0001354037,0.00005181032],"domain_scores_gemma":[0.99886,0.0004566953,0.0001588096,0.00006603943,0.0002796305,0.0001788443],"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":[0.00001149241,0.00002427645,0.0001693991,0.00004167527,0.00001242832,0.0001070183,0.0000698353,0.009598426,0.001451239,0.9866594,0.0007603283,0.001094565],"study_design_scores_gemma":[0.00003306706,0.00002964446,0.0004061382,0.00002313169,0.00001399899,0.000219171,0.00007588966,0.1902766,0.0006628703,0.8061153,0.002101114,0.00004316239],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1400737,0.00253405,0.7639027,0.01364331,0.001136032,0.0001971586,0.0008441019,0.0002413964,0.07742747],"genre_scores_gemma":[0.8863202,0.001680947,0.06991252,0.001727587,0.0009765765,0.0002026788,0.0004547205,0.0001181179,0.03860665],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003134308,"threshold_uncertainty_score":0.009839058,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0303994494020857,"score_gpt":0.2405156389285003,"score_spread":0.2101161895264146,"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."}}