{"id":"W2973539858","doi":"10.1007/s10455-019-09688-3","title":"Counterexamples to the $$L^p$$-Calderón–Zygmund estimate on open manifolds","year":2019,"lang":"en","type":"article","venue":"Annals of Global Analysis and Geometry","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Counterexample; Mathematics; Differential geometry; Dimension (graph theory); Riemannian manifold; Manifold (fluid mechanics); Pure mathematics; Open set; Combinatorics; Mathematical analysis","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00134274,0.0002746591,0.0009466241,0.0003298731,0.0001379683,0.0002987642,0.0009162144,0.0001120291,0.0008660834],"category_scores_gemma":[0.0002969816,0.0001683186,0.0004711481,0.006271163,0.00004563088,0.00015683,0.000482174,0.0001282457,0.0001616035],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001718259,"about_ca_system_score_gemma":0.00002634547,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008163386,"about_ca_topic_score_gemma":0.0007980748,"domain_scores_codex":[0.9978099,0.00009708468,0.0005724439,0.0005099554,0.0006229889,0.0003876376],"domain_scores_gemma":[0.9979312,0.0003487215,0.0003127978,0.000928249,0.0003015398,0.0001775379],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"observational","study_design_scores_codex":[0.0002402845,0.001031825,0.6843008,0.0001620904,0.01242829,0.00001187681,0.0001613559,0.001785087,0.00003740386,0.1991261,0.06850161,0.03221333],"study_design_scores_gemma":[0.0005252334,0.0005529554,0.9190794,0.00009645055,0.003152425,0.000006291039,0.0006641572,0.001781494,0.0001501319,0.03111559,0.04227234,0.0006035733],"study_design_candidate":"observational","study_design_consensus":"observational","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9856935,0.0006026119,0.001899778,0.003681693,0.00006590392,0.0003457179,0.0001524502,0.00001811881,0.007540271],"genre_scores_gemma":[0.9957386,0.0001050061,0.00108839,0.001864265,0.00004244958,0.000009629466,0.00002159116,0.00001107591,0.001119026],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2347786,"threshold_uncertainty_score":0.9483005,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07380977169493225,"score_gpt":0.3865840715428408,"score_spread":0.3127742998479086,"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."}}