{"id":"W2952442516","doi":"10.48550/arxiv.1011.4617","title":"From the Ginzburg-Landau model to vortex lattice problems","year":2010,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Institut Universitaire de France; York University; National Science Foundation","keywords":"Vortex; Ergodic theory; Lattice (music); Limiting; Hexagonal lattice; Logarithm; Renormalization; Physics; Mathematics; Statistical physics; Condensed matter physics; Mathematical physics; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004627491,0.0006241996,0.0005970275,0.0008215358,0.0007318199,0.001225102,0.0008897281,0.0008809667,0.001752126],"category_scores_gemma":[0.001753001,0.0002228641,0.0003480907,0.0005307842,0.001870439,0.001464786,0.001280836,0.0007765183,0.0001933447],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007998252,"about_ca_system_score_gemma":0.0005900695,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001628073,"about_ca_topic_score_gemma":0.001607714,"domain_scores_codex":[0.9998635,0.00006332739,0.000004368261,0.00001426338,0.00002834784,0.00002608889],"domain_scores_gemma":[0.9997539,0.000109531,0.0000422249,0.00001871445,0.00002037622,0.00005533552],"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":[0.00004431319,0.0000399938,0.0006392198,0.00008146014,0.0000172055,0.0001854285,0.0001818611,0.07759354,0.002439474,0.9151601,0.0008906317,0.002726713],"study_design_scores_gemma":[0.00002073526,0.00002266568,0.0003031781,0.00001236771,0.000004223985,0.00006019858,0.00007843615,0.2812939,0.0003308806,0.7171363,0.000729746,0.000007550871],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7325023,0.003472263,0.2044141,0.004327776,0.0001948304,0.00007610428,0.0001884406,0.0001614154,0.05466282],"genre_scores_gemma":[0.9663286,0.0009544507,0.0235953,0.0002261239,0.0001711623,0.0001070299,0.0001244625,0.00006315195,0.008429641],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001752126,"threshold_uncertainty_score":0.005861461,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02176100634419513,"score_gpt":0.2422599473179459,"score_spread":0.2204989409737508,"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."}}