{"id":"W4221142520","doi":"10.1007/s11856-025-2769-3","title":"Borel factors and embeddings of systems in subshifts","year":2025,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Modulo; Mathematics; Combinatorics; Group action; Space (punctuation); Equivariant map; Transitive relation; Polish space; Discrete mathematics; Free group; Pure mathematics; Group (periodic table); Mathematical analysis; Computer science; Physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001289522,0.001011375,0.0009027279,0.003117205,0.001725488,0.00360608,0.0008076872,0.001123379,0.005684384],"category_scores_gemma":[0.004136185,0.0005986639,0.00109405,0.0009976873,0.004222806,0.004553839,0.002803817,0.001799351,0.0005167045],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001777478,"about_ca_system_score_gemma":0.0005985884,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002432338,"about_ca_topic_score_gemma":0.00140884,"domain_scores_codex":[0.9990032,0.0002147051,0.00007556679,0.0002178705,0.0002535929,0.0002350143],"domain_scores_gemma":[0.9973881,0.001154975,0.0003954388,0.0002003402,0.0003658488,0.0004953093],"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":[0.00005141282,0.0000225318,0.0003727552,0.00002503332,0.00001207055,0.0001019433,0.0006143866,0.0007886849,0.0009457947,0.9945938,0.0002020687,0.002269473],"study_design_scores_gemma":[0.00004035631,0.00006314472,0.000681296,0.00001765956,0.00001661065,0.0001309108,0.0004684281,0.004772502,0.0007738224,0.9901977,0.002816648,0.00002096643],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8274742,0.002133012,0.1201428,0.00137994,0.0003191111,0.00008280598,0.000244545,0.0003260552,0.04789748],"genre_scores_gemma":[0.9810784,0.0005849713,0.009540589,0.0001014395,0.0001885634,0.00004490791,0.000157336,0.00007213997,0.008231618],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005684384,"threshold_uncertainty_score":0.01901615,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02798349673645305,"score_gpt":0.3165140603141294,"score_spread":0.2885305635776763,"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."}}