{"id":"W2994794447","doi":"10.1002/cpa.21815","title":"Ground State of the Conformal Flow on 𝕊<sup>3</sup>","year":2019,"lang":"en","type":"article","venue":"Communications on Pure and Applied Mathematics","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Conformal map; Ground state; Mathematics; Invariant (physics); Degeneracy (biology); Flow (mathematics); Conformal symmetry; State (computer science); Stability (learning theory); Nonlinear system; Mathematical physics; Energy (signal processing); Mathematical analysis; Pure mathematics; Physics; Quantum mechanics; Geometry","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":[0.0003415343,0.0004465075,0.0004834065,0.0006044239,0.0008400276,0.001602588,0.0006395555,0.000955981,0.007431611],"category_scores_gemma":[0.0008243459,0.0001829959,0.0005468865,0.0002869402,0.001447044,0.001333704,0.0009541279,0.0008265363,0.0006793542],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008298778,"about_ca_system_score_gemma":0.0007670947,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003133903,"about_ca_topic_score_gemma":0.001588721,"domain_scores_codex":[0.9998668,0.00002856836,0.000004458991,0.00002076132,0.00003355576,0.00004577234],"domain_scores_gemma":[0.999805,0.00003843347,0.00004111063,0.00002512647,0.00003670445,0.00005365214],"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":[0.00007245466,0.00003916012,0.0005572072,0.00003699179,0.00001465066,0.0001766935,0.0001049595,0.01784818,0.003881525,0.9709377,0.001783937,0.004546535],"study_design_scores_gemma":[0.00004040221,0.00004357096,0.0009265059,0.0000172292,0.000007637521,0.0001633965,0.000108102,0.2515004,0.001020511,0.7444555,0.001685229,0.00003162194],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7989141,0.0003834957,0.1188912,0.001933488,0.0001970573,0.00009042113,0.0004011728,0.0002119066,0.07897709],"genre_scores_gemma":[0.9820957,0.0001472701,0.007177183,0.0002120349,0.0001148893,0.00004169156,0.0001882771,0.00008255196,0.009940429],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007431611,"threshold_uncertainty_score":0.02486116,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03793345722236487,"score_gpt":0.2904427107151991,"score_spread":0.2525092534928342,"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."}}