{"id":"W2115978390","doi":"10.1142/s0218348x13500096","title":"RÉNYI FUNCTION FOR MULTIFRACTAL RANDOM FIELDS","year":2013,"lang":"en","type":"article","venue":"Fractals","topic":"Financial Risk and Volatility Modeling","field":"Economics, Econometrics and Finance","cited_by":19,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Queensland University of Technology; York University","keywords":"Random field; Isotropy; Multifractal system; Cosmic microwave background; Statistical physics; Spherical harmonics; Mathematics; Correlation function (quantum field theory); Function (biology); Physics; Computation; Mathematical analysis; Quantum mechanics; Algorithm; Fractal; Statistics; Spectral density; Anisotropy","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003116353,0.0001133762,0.0003014734,0.00008782603,0.000121807,0.00007648164,0.0001016638,0.0001539371,0.0008777924],"category_scores_gemma":[0.0003003583,0.0001251277,0.0001602467,0.00007580579,0.00001730177,0.0004288096,0.00002177841,0.0001155633,0.001310726],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003205859,"about_ca_system_score_gemma":0.000009730051,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005666846,"about_ca_topic_score_gemma":0.00001884396,"domain_scores_codex":[0.9989958,0.000005796668,0.0004487475,0.0002792375,0.00002524948,0.0002451327],"domain_scores_gemma":[0.9993634,0.000143739,0.0001748395,0.0002061806,0.00005373452,0.00005807469],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.001231368,0.00101174,0.1673389,0.0004472515,0.0003704602,0.000003002084,0.003492774,0.002167764,0.002030246,0.1717937,0.136409,0.5137038],"study_design_scores_gemma":[0.004101436,0.0002707204,0.06275795,0.00002619846,0.00001698547,0.000001452363,0.00008540173,0.2706832,0.0003018225,0.3623263,0.2987863,0.0006422425],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6966456,0.0007134537,0.2915531,0.0006838629,0.0007946144,0.000595788,0.00006587572,0.00005622989,0.008891524],"genre_scores_gemma":[0.9956707,0.00004975704,0.001690291,0.0005014457,0.0003052154,0.0001745627,0.00003981453,0.00001910708,0.001549149],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5130616,"threshold_uncertainty_score":0.9994669,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03168639112882645,"score_gpt":0.2224398625800457,"score_spread":0.1907534714512192,"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."}}