{"id":"W1664104325","doi":"10.4310/jsg.2017.v15.n4.a7","title":"The Hofer norm of a contactomorphism","year":2017,"lang":"en","type":"preprint","venue":"Journal of Symplectic Geometry","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Invariant (physics); Pure mathematics; Conjecture; Norm (philosophy); Degenerate energy levels; Metric (unit); Combinatorics; Mathematical physics; Physics; Quantum mechanics","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":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.002689437,0.0003413915,0.001311541,0.0009367905,0.0003058082,0.0001257851,0.001648595,0.0004903912,0.0002596508],"category_scores_gemma":[0.01058093,0.0002165672,0.000699107,0.0003528354,0.0003566185,0.00008958922,0.0006826396,0.001774683,0.00001563975],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001572772,"about_ca_system_score_gemma":0.000701575,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005294598,"about_ca_topic_score_gemma":0.00002554418,"domain_scores_codex":[0.9967515,0.0001682915,0.001557754,0.0002287883,0.0008425461,0.0004511312],"domain_scores_gemma":[0.9891953,0.003311927,0.005200963,0.001096459,0.00102515,0.0001701306],"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":[0.001820248,0.003868584,0.09085408,0.007551433,0.01951272,0.001561194,0.006404713,0.0001050478,0.001561361,0.5201539,0.2389734,0.1076333],"study_design_scores_gemma":[0.001457081,0.0005738702,0.01593108,0.0005514348,0.0007681656,0.001112899,0.0004834697,0.00001963144,0.0005712629,0.9695362,0.008614372,0.0003805603],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9768336,0.005204198,0.004548191,0.002565359,0.005046043,0.0003630937,0.00002573065,0.00001703908,0.005396747],"genre_scores_gemma":[0.9954569,0.0008060303,0.001291751,0.00004985771,0.0006643895,0.000005227375,0.000001184627,0.00003845718,0.001686238],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4493823,"threshold_uncertainty_score":0.9977534,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06741218295606136,"score_gpt":0.3501088867936808,"score_spread":0.2826967038376195,"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."}}