{"id":"W2138022172","doi":"10.4171/jst/166","title":"Spectral homogeneity of limit-periodic Schrödinger operators","year":2017,"lang":"en","type":"preprint","venue":"Journal of Spectral Theory","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Division of Mathematical Sciences; National Science Foundation","keywords":"Mathematics; Homogeneous; Limit (mathematics); Schrödinger's cat; Homogeneity (statistics); Spectrum (functional analysis); Cantor set; Operator (biology); Mathematical analysis; Pure mathematics; Combinatorics; Physics; Quantum mechanics; Statistics","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":[0.0008516601,0.0003978084,0.0004412245,0.001353471,0.0006342956,0.001144163,0.0005689248,0.0003740496,0.001937327],"category_scores_gemma":[0.002501325,0.0002411024,0.0004372427,0.0004070768,0.001902291,0.001593432,0.00162321,0.0006571221,0.0002391525],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005543705,"about_ca_system_score_gemma":0.0003100664,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005342135,"about_ca_topic_score_gemma":0.000234551,"domain_scores_codex":[0.9995266,0.0001076684,0.00003097286,0.00009387702,0.0001568977,0.00008393625],"domain_scores_gemma":[0.9987009,0.0004723454,0.000219392,0.0001576472,0.0002498997,0.0001997722],"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":[0.0001056614,0.00005388873,0.001830428,0.00008768276,0.00002661972,0.0005491041,0.0008701489,0.006575113,0.03029292,0.9546794,0.000527238,0.004401856],"study_design_scores_gemma":[0.00004408001,0.0001312085,0.004308622,0.0000290388,0.00002765782,0.0008248959,0.0005092355,0.1138531,0.01815136,0.8605219,0.001553019,0.00004600842],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9292634,0.0002491271,0.05588004,0.0002518311,0.0000357542,0.00001947221,0.00009357015,0.0000597326,0.01414706],"genre_scores_gemma":[0.9944389,0.0001323192,0.003101895,0.00002515198,0.00005954243,0.00002007336,0.00006828846,0.00001778601,0.002136094],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001937327,"threshold_uncertainty_score":0.006480992,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06167128137177112,"score_gpt":0.3430448087147395,"score_spread":0.2813735273429683,"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."}}