{"id":"W1985563250","doi":"10.1007/s00454-003-0781-z","title":"Consequences of Pure Point Diffraction Spectra for Multiset Substitution Systems","year":2003,"lang":"en","type":"article","venue":"Discrete & Computational Geometry","topic":"Quasicrystal Structures and Properties","field":"Materials Science","cited_by":44,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Multiset; Substitution (logic); Point (geometry); Substitution tiling; Lattice (music); Dynamical systems theory","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001072876,0.0006408017,0.0007612308,0.00117189,0.00142979,0.002105517,0.001105641,0.001416582,0.01141783],"category_scores_gemma":[0.004306461,0.0004649883,0.0004045847,0.0006376223,0.002516097,0.00311366,0.001320898,0.001290036,0.0006191051],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004672808,"about_ca_system_score_gemma":0.0004658669,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005637255,"about_ca_topic_score_gemma":0.0006208754,"domain_scores_codex":[0.9992595,0.0001933411,0.00003698314,0.00009680906,0.0002848681,0.0001285062],"domain_scores_gemma":[0.9982345,0.0007388055,0.0001534163,0.0004294038,0.000266399,0.0001774019],"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":[0.0001361366,0.00003514414,0.000376861,0.00004762282,0.000007186386,0.0002110423,0.0001008528,0.003999746,0.007920196,0.9828075,0.001279106,0.003078607],"study_design_scores_gemma":[0.00004566538,0.0000230549,0.0005680692,0.00001235194,0.000005896549,0.0003446593,0.0001443479,0.04377392,0.006143991,0.9482595,0.0006577505,0.00002073625],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8104627,0.0004276574,0.08320221,0.001803627,0.0003120759,0.00005112107,0.0004160014,0.0005480771,0.1027766],"genre_scores_gemma":[0.9876446,0.0001374495,0.008198358,0.0002181731,0.00005640033,0.00002209541,0.0001547111,0.0001240552,0.003444177],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01141783,"threshold_uncertainty_score":0.03819644,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01923316589679318,"score_gpt":0.2617628820439277,"score_spread":0.2425297161471345,"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."}}