{"id":"W2093385371","doi":"10.1016/j.jfa.2013.06.008","title":"Almost Euclidean sections in symmetric spaces and concentration of order statistics","year":2013,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Euclidean geometry; Statistics; Order (exchange); Order statistic; Euclidean space; Combinatorics; Geometry","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":[0.004901225,0.001023625,0.0015903,0.003461439,0.001320272,0.003930519,0.001776919,0.001753324,0.005017259],"category_scores_gemma":[0.01693349,0.0008348268,0.001231293,0.002112755,0.005782011,0.007889226,0.002994651,0.002616463,0.0003265497],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002625009,"about_ca_system_score_gemma":0.001397546,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002546341,"about_ca_topic_score_gemma":0.001920084,"domain_scores_codex":[0.9986382,0.0006483361,0.00007689152,0.0002089315,0.0002593832,0.0001682364],"domain_scores_gemma":[0.9810885,0.01323824,0.002038026,0.000857169,0.001365041,0.001412886],"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":[0.00001012041,0.000008174977,0.0002952958,0.00001640977,0.00001076351,0.00003080488,0.00007670857,0.002009511,0.0002194456,0.9964426,0.0001759754,0.0007042169],"study_design_scores_gemma":[0.000008711417,0.00001315835,0.0004285958,0.00001141701,0.000009539867,0.00005329336,0.00005150018,0.01915038,0.0001373531,0.9795263,0.0005980025,0.00001167704],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4196991,0.005622232,0.5344856,0.00529666,0.0002162308,0.00005404311,0.0003631154,0.0001716673,0.03409125],"genre_scores_gemma":[0.9474646,0.003500113,0.03175255,0.0005823989,0.0006887864,0.00007586759,0.0002865543,0.0001111829,0.01553795],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005017259,"threshold_uncertainty_score":0.02592051,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03446463832034832,"score_gpt":0.2855558676792128,"score_spread":0.2510912293588645,"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."}}