{"id":"W2014141423","doi":"10.4153/cjm-2010-019-8","title":"Some Rigidity Results Related to Monge–Ampèere Functions","year":2009,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Rigidity (electromagnetism); Lagrangian; Pure mathematics; Bounded function; Graph; Mathematical analysis; Combinatorics","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":[0.001450621,0.000423845,0.0005308231,0.001515636,0.001275757,0.001392841,0.0007446525,0.001215882,0.003013145],"category_scores_gemma":[0.003580891,0.0003969667,0.0007412769,0.0005812024,0.002957568,0.00284031,0.001847336,0.001810711,0.0003785155],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006518575,"about_ca_system_score_gemma":0.0002935785,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000503173,"about_ca_topic_score_gemma":0.0002883531,"domain_scores_codex":[0.9995034,0.0001634472,0.00002216851,0.00008550631,0.0001370784,0.00008846683],"domain_scores_gemma":[0.9981237,0.0008729041,0.0002783839,0.0002365377,0.0002305251,0.0002579897],"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":[0.00002287104,0.00001159593,0.000511579,0.00002279617,0.000007226553,0.0001163514,0.0001993258,0.003477692,0.001651804,0.991245,0.0003763346,0.002357512],"study_design_scores_gemma":[0.0000137994,0.00007093999,0.00168406,0.00002646979,0.000008916518,0.0004420324,0.0002394113,0.04656627,0.001549262,0.9454641,0.003907696,0.00002706011],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6739462,0.001409443,0.2715065,0.002075281,0.0001752318,0.00004450927,0.0001298064,0.0001349869,0.05057801],"genre_scores_gemma":[0.9727401,0.0003590764,0.0190768,0.0001466007,0.0001334988,0.00002674989,0.00007255545,0.0000375813,0.007407046],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003013145,"threshold_uncertainty_score":0.01007992,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05271602813364384,"score_gpt":0.2805031245706147,"score_spread":0.2277870964369709,"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."}}