{"id":"W7117161314","doi":"10.22541/au.176657959.91898288/v1","title":"Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems","year":2025,"lang":"","type":"article","venue":"","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Moment (physics); Dynamical systems theory; Complex system; Integer (computer science); Spectrum (functional analysis); Linear dynamical system; Dynamical system (definition); Characterization (materials science); Nonlinear dynamical systems; Moment problem","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":[0.001247245,0.001007659,0.00104925,0.002674074,0.0008809411,0.002029105,0.001012188,0.001098622,0.001763189],"category_scores_gemma":[0.002675151,0.0002713196,0.001491592,0.001254918,0.002591528,0.003263543,0.00154799,0.001909481,0.0003587848],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001292899,"about_ca_system_score_gemma":0.0009492364,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001274766,"about_ca_topic_score_gemma":0.001051291,"domain_scores_codex":[0.9996542,0.0001111628,0.00002171354,0.000046624,0.0001165168,0.00004981298],"domain_scores_gemma":[0.9992091,0.0003572893,0.0001119291,0.00009900138,0.0001461517,0.0000764518],"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":[0.000002067208,0.000007199676,0.00007800814,0.00002544268,0.000006414942,0.00005239507,0.0000631316,0.00764004,0.0004700679,0.988378,0.0005262179,0.002750955],"study_design_scores_gemma":[0.000004362308,0.00001715898,0.0001257444,0.00002364394,0.000006479544,0.00007909314,0.00003302257,0.1124019,0.0001597064,0.8813691,0.005765514,0.00001435131],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02430158,0.007901989,0.9440336,0.002859394,0.0005043473,0.0000387599,0.0001366415,0.0001566352,0.02006705],"genre_scores_gemma":[0.7052018,0.01304455,0.2607176,0.001092185,0.003230336,0.0002885297,0.0002443669,0.0001832835,0.01599733],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002674074,"threshold_uncertainty_score":0.009380698,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05375868260915695,"score_gpt":0.3425602509966476,"score_spread":0.2888015683874906,"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."}}