{"id":"W2962969854","doi":"10.1515/crelle-2015-0100","title":"On dimensions of tangent cones in limit spaces with lower Ricci curvature bounds","year":2016,"lang":"en","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Ricci curvature; Tangent; Limit (mathematics); Mathematics; Curvature; Tangent cone; Mathematical analysis; Pure mathematics; Geometry","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":[0.002506996,0.0008828549,0.0008444513,0.00412435,0.001292478,0.003635227,0.00140009,0.0009489088,0.003698587],"category_scores_gemma":[0.007718888,0.0006514424,0.0007932959,0.001136394,0.003160273,0.004821258,0.002560014,0.00181456,0.000318529],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001843104,"about_ca_system_score_gemma":0.0006501736,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001704322,"about_ca_topic_score_gemma":0.0009756195,"domain_scores_codex":[0.9988481,0.00032379,0.00006729415,0.000246036,0.0003239457,0.0001908205],"domain_scores_gemma":[0.9932987,0.002171193,0.001287883,0.0003941558,0.0009928065,0.001855396],"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":[0.0001048515,0.00005713379,0.003531824,0.00006177359,0.00002740339,0.0002414204,0.0004480777,0.005668766,0.00277133,0.9837354,0.0007825352,0.002569518],"study_design_scores_gemma":[0.00004088194,0.0001484532,0.008314428,0.00007452958,0.00004282842,0.0006253857,0.0004039141,0.1298093,0.002230975,0.8553748,0.00285949,0.0000751036],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9144795,0.001191507,0.07073038,0.0007090449,0.00007962139,0.00004357346,0.0002688089,0.0001405123,0.01235714],"genre_scores_gemma":[0.9878718,0.00038736,0.008641019,0.0000692663,0.00007967699,0.00004363175,0.0002503942,0.00004754573,0.002609344],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00412435,"threshold_uncertainty_score":0.01337278,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02385476681342834,"score_gpt":0.297429489917702,"score_spread":0.2735747231042736,"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."}}