{"id":"W2003616249","doi":"10.1016/j.jmaa.2015.04.037","title":"Fractal measures with uniform marginals","year":2015,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Acadia University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Measure (data warehouse); Fractal; Parameterized complexity; Unit square; Simple (philosophy); Affine transformation; Dimension (graph theory); Probability measure; Square (algebra); Unit (ring theory); Fractal dimension; Discrete mathematics; Pure mathematics; Mathematical analysis; Combinatorics; Geometry; Computer science","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001267124,0.0001691794,0.0007185134,0.0002616237,0.00007525562,0.00009287254,0.0002139946,0.00007182307,0.0001278939],"category_scores_gemma":[0.0003418607,0.00009948626,0.0002279172,0.0007038054,0.0001199282,0.0001483344,0.00004235154,0.0002003645,0.00001512323],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003047141,"about_ca_system_score_gemma":0.00005777517,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001916724,"about_ca_topic_score_gemma":0.000007182225,"domain_scores_codex":[0.9982185,0.00004242053,0.0007805735,0.0001424393,0.0006345869,0.0001814229],"domain_scores_gemma":[0.997641,0.0005839088,0.0005814172,0.0002933173,0.0005171347,0.0003832825],"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":[0.0000411623,0.0008166527,0.0007061753,0.0001438316,0.001549197,0.00001272906,0.0003427126,0.00004773596,0.0000603914,0.9911634,0.0005293024,0.004586711],"study_design_scores_gemma":[0.0004286171,0.0001449987,0.0002086047,0.00005396428,0.002373108,0.0001509859,0.0005770309,0.005276532,0.00006661757,0.9877451,0.002795117,0.000179323],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05643331,0.0001014525,0.9337401,0.0008102567,0.000005549949,0.0002017703,0.000008554509,0.00001766473,0.008681386],"genre_scores_gemma":[0.8489761,0.00004128556,0.1502987,0.0000626851,0.0001179435,0.00003348414,0.000002779209,0.00002215526,0.0004448336],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7925428,"threshold_uncertainty_score":0.4056932,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04701603697823684,"score_gpt":0.3130124795639773,"score_spread":0.2659964425857404,"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."}}