{"id":"W2261370990","doi":"10.1007/s11232-005-0138-2","title":"Wannier Functions for Quasiperiodic Finite-Gap Potentials","year":2005,"lang":"en","type":"article","venue":"Theoretical and Mathematical Physics","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"Concordia University","funders":"","keywords":"Quasiperiodic function; Wannier function; Periodic potential; Periodic function; Quasi periodic; Mathematics; Function (biology); Series (stratigraphy); Physics; Asymptotic expansion; Power series; Mathematical analysis; Almost periodic function; Mathematical physics; Pure mathematics; 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":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000730785,0.000346865,0.0006797154,0.00004895031,0.0003343592,0.000115168,0.0001831047,0.0001805467,0.002664917],"category_scores_gemma":[0.001734572,0.0002531681,0.0002924656,0.0001510336,0.0007031587,0.0001541799,0.0001092346,0.0002196803,0.0004858695],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002701668,"about_ca_system_score_gemma":0.00003310189,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.633399e-7,"about_ca_topic_score_gemma":5.263751e-7,"domain_scores_codex":[0.997992,0.00008452043,0.0006898079,0.0003895787,0.0003044408,0.0005396863],"domain_scores_gemma":[0.9947702,0.004177779,0.0001140839,0.0004878022,0.000127254,0.0003229215],"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":[0.00005662236,0.0005794432,0.00000117131,0.0003739112,0.00006511876,6.095012e-7,0.0003316471,0.000005313697,0.0003072072,0.9840679,0.005275662,0.008935352],"study_design_scores_gemma":[0.0006250478,0.0001616322,0.000001299679,0.00008187901,0.000263378,0.00001460907,0.0001416365,0.01096683,0.0009806617,0.9800414,0.006388994,0.0003326522],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02002541,0.00005718549,0.9411595,0.002540522,0.0001305044,0.0009179908,0.0001035401,0.0002423289,0.03482303],"genre_scores_gemma":[0.8728849,0.00001980824,0.1197583,0.0007013149,0.001303937,0.0003513205,0.00002324648,0.0001013562,0.004855863],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8528594,"threshold_uncertainty_score":0.9999921,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04061211249122237,"score_gpt":0.3086653592256045,"score_spread":0.2680532467343821,"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."}}