{"id":"W2004455666","doi":"10.1090/s0002-9947-2014-06035-2","title":"Measures on Cantor sets: The good, the ugly, the bad","year":2014,"lang":"en","type":"preprint","venue":"Transactions of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Cantor set; Dimension (graph theory); Invariant (physics); Choquet theory; Simple (philosophy); Pure mathematics; Affine transformation; Group (periodic table); Regular polygon; Convex set; Convex optimization","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001382451,0.0005912893,0.0005558737,0.002537476,0.002147916,0.004735753,0.0006143437,0.001059967,0.00337934],"category_scores_gemma":[0.004235489,0.000247256,0.0007017864,0.00159236,0.009579053,0.005892739,0.003108024,0.001812975,0.000268124],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001985581,"about_ca_system_score_gemma":0.0004346498,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001880812,"about_ca_topic_score_gemma":0.001635615,"domain_scores_codex":[0.99896,0.0002787346,0.00005904254,0.0001802836,0.0003122707,0.0002096044],"domain_scores_gemma":[0.9976494,0.0006913382,0.0004083863,0.0004623305,0.0003114782,0.0004771148],"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":[0.00001231829,0.000003221252,0.0003556414,0.00001247313,0.000003235051,0.000029712,0.0003743295,0.0002159024,0.0003449341,0.9966385,0.0001862472,0.001823443],"study_design_scores_gemma":[0.000007173929,0.00005106172,0.0009826147,0.00004136832,0.00001542408,0.0002199635,0.001104042,0.003855383,0.001252268,0.9821853,0.01025573,0.00002961509],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6317083,0.004153325,0.2444604,0.006147253,0.0006122781,0.00007725434,0.0003396994,0.0002731478,0.1122283],"genre_scores_gemma":[0.9827619,0.0004723766,0.01171105,0.0002181929,0.0001635992,0.00003104613,0.00005889177,0.00004724939,0.00453569],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004735753,"threshold_uncertainty_score":0.01440644,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04888460087992286,"score_gpt":0.3538906371184291,"score_spread":0.3050060362385063,"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."}}