{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001193244,0.00009893144,0.0002910583,0.00001987434,0.00005892055,0.00007827763,0.00007660357,0.000063121,0.00005400757],"category_scores_gemma":[0.00003652776,0.00006555513,0.00002555781,0.00006189024,0.0001363936,0.00008241873,0.00005251902,0.000051311,0.00001027654],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000006147166,"about_ca_system_score_gemma":0.00001170721,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005508545,"about_ca_topic_score_gemma":0.00002396761,"domain_scores_codex":[0.999272,0.0000613537,0.0002149475,0.0001834686,0.0001153584,0.0001528533],"domain_scores_gemma":[0.9996054,0.000077228,0.00007108752,0.0001310538,0.00005271407,0.00006257081],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"observational","study_design_scores_codex":[0.0008485386,0.00003113598,0.02543456,0.0006810522,0.0000573327,0.000008930125,0.001132106,0.0003383271,0.9176703,0.05163714,0.00008106895,0.002079517],"study_design_scores_gemma":[0.05056067,0.01067124,0.3600474,0.006772553,0.001367503,0.0007702243,0.01834706,0.3389921,0.06428697,0.02212852,0.1167255,0.009330337],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9953852,0.002112782,0.0003198072,0.00004027956,0.0003651072,0.000244277,0.0000447898,0.00002273789,0.001465002],"genre_scores_gemma":[0.9993496,0.00004779917,0.00002900669,0.0000152168,0.00003167304,0.000004976768,0.000008525183,0.000006681842,0.0005065548],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8533833,"threshold_uncertainty_score":0.2673261,"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."}}