{"id":"W2774950505","doi":"10.3934/dcds.2019206","title":"Shifts of finite type and random substitutions","year":2019,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Quasicrystal Structures and Properties","field":"Materials Science","cited_by":13,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Subshift of finite type; Topological conjugacy; Topological entropy; Transitive relation; Type (biology); Logarithm; Substitution (logic); Finite set","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":[0.0003458361,0.0002939611,0.0003172794,0.0006899245,0.0005044367,0.001064499,0.0004414059,0.0005475753,0.002520646],"category_scores_gemma":[0.002064154,0.0001641476,0.0003577762,0.0003126957,0.002348566,0.001341553,0.001199352,0.0007570598,0.0002993939],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004220963,"about_ca_system_score_gemma":0.0002665127,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002661232,"about_ca_topic_score_gemma":0.0002384853,"domain_scores_codex":[0.9995463,0.00007483771,0.0000286945,0.00009897551,0.0001703557,0.00008065497],"domain_scores_gemma":[0.998924,0.0004293663,0.0002479836,0.0001853914,0.00009203307,0.0001212455],"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":[0.00005477936,0.0000240362,0.0009117535,0.00003915961,0.000007979618,0.0002484627,0.0001841733,0.005024537,0.01533391,0.9739076,0.0001635486,0.004100151],"study_design_scores_gemma":[0.00002711729,0.0001545311,0.001546026,0.00002168134,0.00001873812,0.000822022,0.0002528396,0.06384016,0.02392722,0.9062688,0.003076969,0.0000439849],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8588342,0.0003120731,0.1199602,0.0002891486,0.0001057575,0.00002458574,0.00009051082,0.0001195678,0.02026392],"genre_scores_gemma":[0.991825,0.00009308521,0.006181154,0.00004181012,0.00003319214,0.00001363237,0.00003126355,0.00001455696,0.001766321],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002520646,"threshold_uncertainty_score":0.008432388,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005496035515046254,"score_gpt":0.2032722655641605,"score_spread":0.1977762300491143,"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."}}