{"id":"W2232964752","doi":"10.3934/dcdsb.2015.20.3403","title":"Semiconjugacy to a map of a constant slope","year":2015,"lang":"en","type":"preprint","venue":"Discrete and Continuous Dynamical Systems - B","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Piecewise; Mathematics; Topological entropy; Monotone polygon; Transitive relation; Conjugacy class; Constant (computer programming); Entropy (arrow of time); Continuous map; Graph; Piecewise linear function; Discrete mathematics; Pure mathematics; Combinatorics; Mathematical analysis; Geometry; Computer science","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0008482822,0.0005823101,0.00202053,0.0001543066,0.00005346898,0.000209475,0.0005222909,0.0005758154,0.00003923843],"category_scores_gemma":[0.0005655325,0.0004644183,0.0002780149,0.00010288,0.0001892133,0.00005302384,0.001138473,0.0005816231,0.00002136837],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001030846,"about_ca_system_score_gemma":0.0001219463,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003517701,"about_ca_topic_score_gemma":0.0000506695,"domain_scores_codex":[0.9964548,0.0002033076,0.001458164,0.0007402518,0.0006086948,0.0005347798],"domain_scores_gemma":[0.9969562,0.0004882042,0.0006733763,0.0009428001,0.0003884381,0.0005509793],"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":[0.0001596927,0.0003182903,0.0003895266,0.007437237,0.0005738724,0.00007804316,0.001738427,0.00004523606,0.0009187558,0.9806751,0.0062969,0.001368897],"study_design_scores_gemma":[0.001615276,0.000528466,0.00007525769,0.006586448,0.0006993145,0.0001043059,0.002231269,0.1915627,0.00002415468,0.7896205,0.004990368,0.001962027],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8651783,0.001871239,0.09327352,0.0009826934,0.001418985,0.004783302,0.002259796,0.0002933377,0.0299388],"genre_scores_gemma":[0.9934652,0.00002036039,0.003186308,0.00005355266,0.0001429452,0.0001978119,0.00009053846,0.00009029727,0.002752921],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1915174,"threshold_uncertainty_score":0.9997808,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03072452201258094,"score_gpt":0.3044396346813264,"score_spread":0.2737151126687454,"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."}}