{"id":"W2952984793","doi":"10.48550/arxiv.math/0002019","title":"Lattice Substitution Systems and Model Sets","year":2000,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Cellular Automata and Applications","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Lattice (music); Substitution (logic); Mathematics; Discrete mathematics; Combinatorics; Pure mathematics; Computer science; Physics","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":[0.0009121352,0.0003877283,0.0005433945,0.0008529847,0.001746346,0.003447314,0.0008954304,0.001344878,0.005132777],"category_scores_gemma":[0.003321919,0.0004157043,0.0006705393,0.0008122966,0.004235188,0.003218056,0.002533753,0.001558664,0.0007160673],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001622026,"about_ca_system_score_gemma":0.0006494958,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001100814,"about_ca_topic_score_gemma":0.0009652182,"domain_scores_codex":[0.9984946,0.0005795502,0.00007108341,0.0002238496,0.0004570684,0.0001738263],"domain_scores_gemma":[0.9983082,0.0009856208,0.0001258153,0.0002941192,0.0001475723,0.0001386775],"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":[0.000007636044,0.000006002518,0.00007717481,0.00001282099,0.00000250164,0.00003515519,0.0001954605,0.003203342,0.000645245,0.9942176,0.0001930346,0.001403822],"study_design_scores_gemma":[0.00001087214,0.00001281007,0.00005092806,0.000009653786,0.000002820206,0.00007498445,0.000168457,0.01955941,0.0007966793,0.9762011,0.003104315,0.000008044446],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.470602,0.002003466,0.3757328,0.002868367,0.0002278826,0.00008646749,0.0002205508,0.0005471662,0.1477113],"genre_scores_gemma":[0.9564688,0.0003863968,0.03442052,0.000182259,0.00006540513,0.000112717,0.0001342443,0.00007034031,0.008159251],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.005132777,"threshold_uncertainty_score":0.01717079,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05189958380949813,"score_gpt":0.2724916924390782,"score_spread":0.22059210862958,"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."}}