{"id":"W3098295875","doi":"10.1090/proc/13404","title":"A characterization of 𝜇-equicontinuity for topological dynamical systems","year":2016,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; University of Science and Technology of China; Consejo Nacional de Ciencia y Tecnología; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior","keywords":"Equicontinuity; Characterization (materials science); Dynamical systems theory; Mathematics; Topology (electrical circuits); Pure mathematics; Mathematical analysis; Physics; Combinatorics; Optics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00282107,0.0008416023,0.0009798337,0.003071451,0.001929647,0.003956824,0.001306873,0.001165636,0.006384911],"category_scores_gemma":[0.01128455,0.0005657322,0.001250499,0.001879996,0.005287166,0.005807084,0.003404563,0.002952631,0.0005417804],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00270128,"about_ca_system_score_gemma":0.000841914,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002122322,"about_ca_topic_score_gemma":0.001015512,"domain_scores_codex":[0.9975768,0.0005512108,0.0001736471,0.000719306,0.0006703077,0.0003088055],"domain_scores_gemma":[0.9918921,0.004284082,0.001003579,0.0004869243,0.001433167,0.0009001549],"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":[0.0000167321,0.00001478708,0.0008655,0.00004040607,0.00001442125,0.0001392201,0.000616535,0.002029644,0.0006570846,0.9913734,0.0003154564,0.003916848],"study_design_scores_gemma":[0.000007105469,0.00004067613,0.001234478,0.0000387175,0.00001668325,0.0003304637,0.0003180076,0.04518266,0.000873536,0.9483724,0.003559751,0.00002554384],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4141439,0.002584146,0.4898244,0.003091677,0.0001225771,0.00008049372,0.000446178,0.0003530864,0.08935354],"genre_scores_gemma":[0.9724489,0.0005854323,0.01991067,0.0002709244,0.0001466312,0.00006980153,0.0002549137,0.00007389834,0.00623879],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006384911,"threshold_uncertainty_score":0.02135962,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02411567346149953,"score_gpt":0.2862529164975187,"score_spread":0.2621372430360192,"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."}}