{"id":"W2014401285","doi":"10.1016/j.aml.2006.08.015","title":"Path integral for the probability of the trajectories generated by fractional dynamics subject to Gaussian white noise","year":2006,"lang":"en","type":"article","venue":"Applied Mathematics Letters","topic":"Statistical Mechanics and Entropy","field":"Physics and Astronomy","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; White noise; Additive white Gaussian noise; Gaussian; Path (computing); Path integral formulation; Statistical physics; Gaussian noise; Noise (video); Mathematical analysis; Applied mathematics; Statistics; Algorithm; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001426231,0.0001459784,0.0001736599,0.00001351823,0.000143071,0.00004087813,0.0002075514,0.00002261991,0.00004475253],"category_scores_gemma":[0.00001477371,0.00008398535,0.00009508164,0.0001379323,0.0000592219,0.00001782185,0.00003522577,0.0001219471,0.000003449076],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004264259,"about_ca_system_score_gemma":0.000022902,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008884553,"about_ca_topic_score_gemma":0.00001027502,"domain_scores_codex":[0.9991744,0.00001066123,0.0002723326,0.0001625947,0.0001756851,0.0002043272],"domain_scores_gemma":[0.9992173,0.0003176597,0.0001263084,0.0002652757,0.00004153561,0.00003194803],"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":[0.00001868707,0.000149879,0.0004240344,0.00005061351,0.00003939488,3.213536e-8,0.0001442945,0.0004290905,0.01407167,0.9731874,0.01029701,0.001187834],"study_design_scores_gemma":[0.001606464,0.00008627304,0.003379314,0.00009059841,0.0003663351,0.000001261983,0.0009786634,0.2069415,0.03231818,0.7484272,0.004965853,0.0008383797],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1299749,0.000003737085,0.8667021,0.001428085,0.0001692291,0.0008352597,0.0004186064,0.0000124272,0.0004555669],"genre_scores_gemma":[0.9718382,1.883381e-7,0.02725621,0.0001872491,0.0001733351,0.0003956526,0.00008032316,0.00002412877,0.0000446593],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8418633,"threshold_uncertainty_score":0.3424823,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007045276571142573,"score_gpt":0.2109847143668775,"score_spread":0.2039394377957349,"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."}}