{"id":"W4323826656","doi":"10.4171/owr/2022/3","title":"Groups and Dynamics: Topology, Measure, and Borel Structure","year":2023,"lang":"en","type":"article","venue":"Oberwolfach Reports","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Ergodic theory; Topological dynamics; Variety (cybernetics); Measure (data warehouse); Boundary (topology); Dynamics (music); Topology (electrical circuits); Mathematics; Dynamical systems theory; Borel measure; Pure mathematics; Computer science; Discrete mathematics; Physics; Mathematical analysis; Probability measure; Artificial intelligence; Combinatorics; Functional analysis; Data mining","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005823174,0.0002085573,0.0003774148,0.0001003551,0.0001326117,0.00006841659,0.00006546323,0.0001971574,0.00008570378],"category_scores_gemma":[0.0007812612,0.0001704792,0.00005170485,0.0001820159,0.0001534922,0.00008577549,0.000161294,0.0002100884,0.000005210799],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002869537,"about_ca_system_score_gemma":0.00001958868,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003430459,"about_ca_topic_score_gemma":0.0001763165,"domain_scores_codex":[0.9985057,0.00003852756,0.0004778193,0.0003963428,0.0002609596,0.0003206801],"domain_scores_gemma":[0.9988664,0.000276278,0.0002107139,0.000428139,0.00005914938,0.0001593622],"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":[0.00001301938,0.00009052834,0.02866284,0.0007265717,0.0001566315,0.001340347,0.000780587,0.000002236085,0.0006918451,0.9454185,0.005544825,0.01657211],"study_design_scores_gemma":[0.0001450399,0.0000336618,0.01194805,0.00004580968,0.00005441521,0.001124684,0.0001752292,0.00862125,0.00003492368,0.9769353,0.0006452649,0.0002363609],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9880375,0.0001548099,0.001513891,0.0006229862,0.0002236141,0.0003292389,0.00003993445,0.0002316485,0.008846411],"genre_scores_gemma":[0.9947481,0.00004980525,0.003497049,0.00006097206,0.0000539916,0.00001455257,0.00004085753,0.00004073463,0.001493983],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03151686,"threshold_uncertainty_score":0.6951941,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02530602883695679,"score_gpt":0.2867731050030842,"score_spread":0.2614670761661274,"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."}}