{"id":"W6979722301","doi":"","title":"Absolutely continuous invariant measures for piecewise
\\nconvex maps of an interval with countable (infinite)
\\nnumber of branches","year":2023,"lang":"en","type":"dissertation","venue":"Spectrum Research Repository (Concordia University)","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Concordia University","keywords":"Absolute continuity; Countable set; Piecewise; Regular polygon; Invariant (physics); Measurable function; Uniqueness; Convex function; Sequence (biology); Continuous function (set theory)","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001750789,0.0004868938,0.001459729,0.001096663,0.0003147977,0.0001235326,0.001072018,0.0005509505,0.00007281918],"category_scores_gemma":[0.0006789012,0.0004644556,0.0004092765,0.001004196,0.0004652797,0.0003441449,0.0001575377,0.0008662052,0.00001158537],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002778538,"about_ca_system_score_gemma":0.001068161,"about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_topic_score_codex":0.01288452,"about_ca_topic_score_gemma":0.0693724,"domain_scores_codex":[0.9957203,0.0004006044,0.0008953076,0.0007748816,0.00136651,0.0008423511],"domain_scores_gemma":[0.9943266,0.002060847,0.0008992362,0.001004802,0.001382189,0.0003263071],"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":[0.04573884,0.0101711,0.0344597,0.0751901,0.01593519,0.006146852,0.03314688,0.0001492459,0.06188113,0.6826462,0.02673077,0.007803959],"study_design_scores_gemma":[0.0195177,0.01810909,0.04886904,0.01549435,0.004468821,0.0003442038,0.08568685,0.01059872,0.1796781,0.5853531,0.02522383,0.006656275],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9310019,0.00005601645,0.0009644384,0.00005594048,0.0004313849,0.001789363,0.0003919188,0.0001226117,0.06518646],"genre_scores_gemma":[0.9348121,0.00006684424,0.0006823078,0.000003506954,0.0001834429,0.00003062171,0.0003989396,0.0001904386,0.06363179],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1177969,"threshold_uncertainty_score":0.9997807,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0521854739618772,"score_gpt":0.3082791927144911,"score_spread":0.2560937187526139,"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."}}