{"id":"W2006308315","doi":"10.1007/s002220100160","title":"A Riemannian interpolation inequality à la Borell, Brascamp and Lieb","year":2001,"lang":"fr","type":"article","venue":"Inventiones mathematicae","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":299,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Ricci curvature; Riemannian manifold; Manifold (fluid mechanics); Scalar curvature; Interpolation (computer graphics); Curvature; Euclidean space; Pure mathematics; Exponential map (Riemannian geometry); Euclidean geometry; Mathematical analysis; Sectional curvature; Geometry; Motion (physics); Physics","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":[0.002456845,0.0006973496,0.001165371,0.001772908,0.001720967,0.002416228,0.00101875,0.00227949,0.006379181],"category_scores_gemma":[0.006319078,0.0003592175,0.001062301,0.001758058,0.004911883,0.006058678,0.002631545,0.006218493,0.0006424151],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002992224,"about_ca_system_score_gemma":0.001322131,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0048694,"about_ca_topic_score_gemma":0.002714468,"domain_scores_codex":[0.9991267,0.0003676545,0.00003166773,0.000165557,0.0002058212,0.0001026141],"domain_scores_gemma":[0.9979809,0.001229501,0.0001343324,0.0001803236,0.0002933805,0.0001816488],"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":[0.00001188202,0.000004866655,0.000103667,0.00002347082,0.000004857177,0.00002243966,0.00008372949,0.0003042279,0.0001868077,0.9947089,0.00154441,0.003000804],"study_design_scores_gemma":[0.000006522051,0.00001282313,0.0002768865,0.0000204077,0.000006252535,0.00003660383,0.00003596798,0.002291926,0.0001069795,0.985499,0.01169865,0.00000793152],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1649055,0.08254009,0.3527486,0.09594174,0.003714815,0.00007304611,0.0008030113,0.0002704992,0.2990026],"genre_scores_gemma":[0.8370566,0.01879585,0.05774584,0.006538612,0.005081102,0.000158015,0.0003187328,0.0002337089,0.07407153],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006379181,"threshold_uncertainty_score":0.02171022,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0614063749712019,"score_gpt":0.331153138569186,"score_spread":0.2697467635979841,"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."}}