{"id":"W2978369964","doi":"10.1007/s00205-020-01598-0","title":"Renormalized Energy Between Vortices in Some Ginzburg–Landau Models on 2-Dimensional Riemannian Manifolds","year":2021,"lang":"en","type":"preprint","venue":"Archive for Rational Mechanics and Analysis","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Vorticity; Vortex; Mathematical physics; Physics; Vector field; Riemannian manifold; Harmonic map; Mathematical analysis; Tangent; Unit vector; Mathematics; Geometry","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001532318,0.001718703,0.001971299,0.004467052,0.003293286,0.004315278,0.00229257,0.003844623,0.007151214],"category_scores_gemma":[0.00324933,0.0009921168,0.001726709,0.001415267,0.004195093,0.006295394,0.003222702,0.002628052,0.0006966162],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002275808,"about_ca_system_score_gemma":0.001147344,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001236241,"about_ca_topic_score_gemma":0.001632042,"domain_scores_codex":[0.9993605,0.0002193406,0.00003379276,0.00009032025,0.0001497386,0.0001462992],"domain_scores_gemma":[0.9988765,0.000240562,0.0001644905,0.000130849,0.0001299775,0.0004575765],"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":[0.00006304908,0.00006617066,0.0002385122,0.00003404776,0.00002679322,0.0001884964,0.0001846127,0.003998975,0.001553011,0.9919146,0.0006699616,0.001061649],"study_design_scores_gemma":[0.00003661091,0.00003347762,0.0004667365,0.00001234878,0.000013927,0.0001317129,0.0001037249,0.03330794,0.0002785214,0.9652269,0.0003631957,0.0000248577],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9098074,0.001286192,0.03888803,0.003397248,0.0007481254,0.00009401766,0.0001947278,0.0003669085,0.04521729],"genre_scores_gemma":[0.9780169,0.000320318,0.006683091,0.0004552268,0.0005723492,0.0001008958,0.0001523178,0.0001964383,0.01350257],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007151214,"threshold_uncertainty_score":0.02392322,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04259525293282264,"score_gpt":0.2898918089707735,"score_spread":0.2472965560379509,"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."}}