{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001343838,0.0007798077,0.001037297,0.002778642,0.001956239,0.003577346,0.001618083,0.00243796,0.008470581],"category_scores_gemma":[0.004634051,0.0005412076,0.0008418434,0.0011899,0.00375375,0.00440619,0.002200894,0.001605041,0.0008215678],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001122312,"about_ca_system_score_gemma":0.001130578,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002170481,"about_ca_topic_score_gemma":0.002621881,"domain_scores_codex":[0.9994289,0.0001979571,0.00003141143,0.00009271173,0.0001167577,0.0001321936],"domain_scores_gemma":[0.9978447,0.0008146515,0.0003261018,0.0002089511,0.0003059662,0.0004996908],"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":[0.00001832419,0.00001619805,0.00009752303,0.00001538982,0.000003898251,0.00005374727,0.00008216697,0.0009890498,0.0004276827,0.9970434,0.0003685171,0.0008840186],"study_design_scores_gemma":[0.00001282271,0.000009130007,0.0001060988,0.000008407355,0.000003600158,0.00006177121,0.00006818175,0.02086765,0.00009354246,0.9783732,0.0003827193,0.00001287945],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7140906,0.002091157,0.2177644,0.003776598,0.0006551572,0.00006575185,0.0002604951,0.000425972,0.06086991],"genre_scores_gemma":[0.9694763,0.0005556092,0.01116707,0.0004439891,0.0003916935,0.00005640372,0.0001612795,0.0001021108,0.01764558],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008470581,"threshold_uncertainty_score":0.02833694,"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."}}