{"id":"W3183811388","doi":"10.4153/s0008439522000352","title":"Spectrum of weak model sets with Borel windows","year":2022,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"MacEwan University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Measure (data warehouse); Hull; Spectrum (functional analysis); Set (abstract data type); Torus; Combinatorics; Pure mathematics; Window (computing); Class (philosophy); Group action; Discrete mathematics; Group (periodic table); Geometry","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":true,"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":[0.0005818104,0.0003344638,0.000614008,0.001509515,0.001040288,0.002184551,0.0005338035,0.0006396472,0.004684708],"category_scores_gemma":[0.002252804,0.0003096195,0.0006134494,0.0006188865,0.002611084,0.003248998,0.002223646,0.0008828986,0.0003150627],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001049134,"about_ca_system_score_gemma":0.0002626953,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000752688,"about_ca_topic_score_gemma":0.0003577506,"domain_scores_codex":[0.9993789,0.0000894427,0.00003745862,0.000137412,0.0002251922,0.0001316109],"domain_scores_gemma":[0.9990603,0.0002812173,0.0001803793,0.0001530976,0.0001232782,0.0002016864],"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":[0.00003548228,0.00001277367,0.0007203759,0.00002011547,0.000009274095,0.0001880632,0.0003031112,0.001490783,0.002759789,0.9920372,0.0002264418,0.002196728],"study_design_scores_gemma":[0.00002874847,0.0000796148,0.002009425,0.00002501927,0.00001463912,0.0004871866,0.0006127195,0.02183783,0.002728946,0.9670849,0.005064713,0.0000261331],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8246638,0.0005568548,0.138522,0.0006427515,0.00009876476,0.00003990087,0.000150929,0.0001763811,0.03514864],"genre_scores_gemma":[0.9903449,0.00010997,0.006144202,0.00004553941,0.00006906148,0.0000277937,0.00006477656,0.00002239335,0.003171408],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004684708,"threshold_uncertainty_score":0.01567191,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02058161337295471,"score_gpt":0.2413124432348018,"score_spread":0.2207308298618471,"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."}}