{"id":"W2501863260","doi":"10.1090/s0894-0347-08-00595-x","title":"Orbit equivalence for Cantor minimal ℤ²-systems","year":2008,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria; University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; Japan Society for the Promotion of Science; Norges Forskningsråd","keywords":"Cantor set; Orbit (dynamics); Equivalence (formal languages); Cantor function; Heteroclinic orbit; Action (physics)","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00118607,0.0002188197,0.0007829854,0.00003048732,0.0003333615,0.00004175265,0.0009295291,0.00005932901,0.00004932089],"category_scores_gemma":[0.002493705,0.000127061,0.0008560163,0.000398755,0.0008666844,0.0001750509,0.0001818612,0.0004834612,0.00001374649],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002568568,"about_ca_system_score_gemma":0.0002912875,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000056425,"about_ca_topic_score_gemma":5.449245e-7,"domain_scores_codex":[0.9972556,0.0001480557,0.0008643513,0.0001790617,0.001038782,0.000514148],"domain_scores_gemma":[0.9956493,0.002111773,0.001026968,0.0004784317,0.000497975,0.0002355513],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.001362388,0.00418866,0.006433486,0.004081252,0.003211081,0.000195826,0.02386231,0.0005597039,0.06336752,0.2703242,0.6192821,0.003131454],"study_design_scores_gemma":[0.007833201,0.005176275,0.003349536,0.002116073,0.0008640795,0.009316298,0.02352727,0.03812778,0.01810058,0.86276,0.02624089,0.002587993],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9244547,0.0001890658,0.07260907,0.001525607,0.0002199581,0.0006141798,0.00002032405,0.00003075702,0.0003363019],"genre_scores_gemma":[0.7646408,0.0001719841,0.2324578,0.0003612123,0.0006814208,0.00004704573,2.339354e-7,0.00008555875,0.001553953],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5930412,"threshold_uncertainty_score":0.5181398,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08849379382254563,"score_gpt":0.377317698049448,"score_spread":0.2888239042269024,"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."}}