{"id":"W2017325803","doi":"10.1016/j.jcta.2012.01.006","title":"Fixed points avoiding Abelian k-powers","year":2012,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series A","topic":"semigroups and automata theory","field":"Computer Science","cited_by":16,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Winnipeg","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Morphism; Abelian group; Mathematics; Invertible matrix; Fixed point; Decidability; Pure mathematics; Matrix (chemical analysis); Discrete mathematics; Combinatorics; Mathematical analysis","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":[0.0006565868,0.0006820802,0.001162931,0.001965587,0.002893125,0.00398339,0.001379391,0.001606077,0.008164219],"category_scores_gemma":[0.003713962,0.0008140001,0.001211248,0.001198229,0.003580824,0.004722599,0.00322245,0.002790903,0.001561517],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001073987,"about_ca_system_score_gemma":0.0003675228,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004604961,"about_ca_topic_score_gemma":0.0005204791,"domain_scores_codex":[0.9992815,0.0001592608,0.00004624718,0.0001307928,0.0001850927,0.0001971264],"domain_scores_gemma":[0.9972081,0.001458787,0.0002977309,0.0003467659,0.0003284357,0.0003601745],"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":[0.0001793646,0.00004712947,0.0003772021,0.00004873229,0.00001889943,0.0004628232,0.0007040029,0.001128742,0.003812935,0.9886439,0.0007234669,0.003852859],"study_design_scores_gemma":[0.00006576644,0.00004553076,0.0001997356,0.00002268637,0.0000218851,0.0003648084,0.0003400018,0.00437344,0.002162783,0.9900802,0.00230131,0.00002185327],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8560104,0.0005323326,0.05751427,0.0007539585,0.0004020272,0.00007323764,0.0001086169,0.0003448045,0.08426036],"genre_scores_gemma":[0.9737605,0.0002085748,0.00637097,0.00008793945,0.0001209041,0.00005515399,0.00006652816,0.0001156766,0.01921369],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008164219,"threshold_uncertainty_score":0.02731204,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.009556108663495173,"score_gpt":0.2317742549964514,"score_spread":0.2222181463329562,"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."}}