{"id":"W2157180606","doi":"10.1007/s40316-017-0092-z","title":"On Sandon-type metrics for contactomorphism groups","year":2017,"lang":"fr","type":"preprint","venue":"Annales mathématiques du Québec","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Ottawa","funders":"European Research Council; Israel Science Foundation; National Science Foundation","keywords":"Mathematics; Pure mathematics; Invariant (physics); Norm (philosophy); Symplectic geometry; Bounded function; Group action; Group (periodic table); Mathematical analysis; 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":[0.0009576611,0.001204746,0.0008870452,0.004532341,0.003298796,0.004037771,0.001184119,0.002106322,0.007798263],"category_scores_gemma":[0.003302758,0.000439525,0.0005729492,0.002069373,0.003426782,0.003832842,0.00223104,0.001644298,0.0008909723],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.006636927,"about_ca_system_score_gemma":0.002081899,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.04096184,"about_ca_topic_score_gemma":0.05859371,"domain_scores_codex":[0.9992804,0.0002110199,0.0000325053,0.0001101029,0.0002309025,0.0001351479],"domain_scores_gemma":[0.9982437,0.0003381616,0.0002976018,0.0001557829,0.0004555735,0.0005092006],"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":[0.00001656962,0.00001100887,0.0004691242,0.00001478205,0.000004387593,0.000066376,0.000187905,0.0009501156,0.0003564558,0.9946153,0.0009763318,0.002331657],"study_design_scores_gemma":[0.00001137793,0.00001842198,0.001772177,0.00002217373,0.000006891877,0.00009643309,0.0002126405,0.01013876,0.0001975245,0.9818674,0.005636003,0.00002021473],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6929864,0.002633285,0.08089667,0.004344098,0.0006043501,0.0001199011,0.0006758737,0.0002190095,0.2175204],"genre_scores_gemma":[0.9247096,0.001015413,0.01029125,0.0003958729,0.0004201065,0.00005906716,0.0005880729,0.0001462752,0.0623743],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04096184,"threshold_uncertainty_score":0.08144683,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05522200691521403,"score_gpt":0.3119346326562418,"score_spread":0.2567126257410277,"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."}}