{"id":"W2963278682","doi":"10.1016/j.jfa.2018.10.016","title":"Anderson localization for quasi-periodic CMV matrices and quantum walks","year":2018,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Ocean University of China; National Natural Science Foundation of China; China Scholarship Council; Ryerson University; National Science Foundation","keywords":"Mathematics; Quantum walk; Anderson localization; Lyapunov exponent; Lattice (music); Anderson impurity model; Quantum; Pure mathematics; Integer (computer science); Mathematical physics; Quantum mechanics; Quantum computer; Physics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007840035,0.0001355173,0.0004477206,0.0003423337,0.0001864247,0.00006115878,0.0001047602,0.00006772232,0.0003439019],"category_scores_gemma":[0.0005786706,0.0001006572,0.0003560005,0.0006868354,0.0001721905,0.0002207017,0.00001708309,0.0001057212,0.000008645163],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006054653,"about_ca_system_score_gemma":0.00003727652,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002983574,"about_ca_topic_score_gemma":0.000007672895,"domain_scores_codex":[0.9986708,0.0000627162,0.00055729,0.0001411009,0.0004152791,0.0001527782],"domain_scores_gemma":[0.9978608,0.0007988093,0.0005398983,0.000132275,0.0005721158,0.0000960753],"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":[0.001082678,0.001124626,0.003278617,0.0004291108,0.00701437,0.000008290835,0.001894329,0.0006697306,0.002793035,0.9657771,0.01359829,0.002329821],"study_design_scores_gemma":[0.0005004887,0.0005266395,0.0007374428,0.00003164263,0.002783083,0.00002672596,0.0006034206,0.05289877,0.0003699616,0.9409004,0.0004766335,0.000144797],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2054147,0.0001149906,0.7935795,0.0003718143,0.0001512182,0.0000816561,0.000006648819,0.00001547545,0.0002640279],"genre_scores_gemma":[0.9889622,0.00002784192,0.009919276,0.0001239285,0.0008007417,0.000003819884,0.000004970432,0.00001692551,0.000140243],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7836602,"threshold_uncertainty_score":0.4104683,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04723935665196575,"score_gpt":0.3219784487413483,"score_spread":0.2747390920893826,"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."}}