{"id":"W2047331334","doi":"10.1007/s00208-005-0728-1","title":"The Ruelle-Sullivan map for actions of ℝn","year":2006,"lang":"de","type":"article","venue":"Mathematische Annalen","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":53,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Ergodic theory; Homomorphism; Probability measure; Equivariant map; Invariant (physics); Compact space; Invariant measure; Pure mathematics; Measure (data warehouse); Metric space; Discrete mathematics; Algebra over a field","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":[0.0007976043,0.0009296882,0.0007135406,0.003481323,0.002479159,0.003865234,0.0009386042,0.001837688,0.006472121],"category_scores_gemma":[0.002287874,0.0004457567,0.000846104,0.001583987,0.003417362,0.005680243,0.00244456,0.002782759,0.0008527625],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002034914,"about_ca_system_score_gemma":0.0008069644,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001424334,"about_ca_topic_score_gemma":0.0009769069,"domain_scores_codex":[0.9994274,0.0001017948,0.00002721204,0.0001079592,0.0001908855,0.0001447961],"domain_scores_gemma":[0.9990162,0.0003606428,0.0001937827,0.0000883192,0.0001291632,0.0002119092],"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":[0.00001243641,0.000005772039,0.00005376472,0.00001132138,0.000003424082,0.00006921874,0.0002352709,0.0002567948,0.0004041492,0.9966465,0.0003916252,0.001909604],"study_design_scores_gemma":[0.00001143078,0.00001792537,0.0003204064,0.000009621109,0.000007052076,0.0002296397,0.0001068625,0.002028153,0.0004811635,0.9917269,0.005040262,0.00002061981],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5964455,0.004296232,0.1053095,0.005969496,0.001121996,0.00005737365,0.0004092502,0.0004062719,0.2859845],"genre_scores_gemma":[0.9365849,0.001609041,0.008914142,0.0004120132,0.0008856639,0.00006412427,0.0001870352,0.00009430261,0.05124862],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006472121,"threshold_uncertainty_score":0.02165139,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04772629508303183,"score_gpt":0.3136309990197851,"score_spread":0.2659047039367533,"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."}}