{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063715,0.0003373737,0.0003141252,0.001334794,0.0005378718,0.001275172,0.0006071548,0.0003955013,0.002077179],"category_scores_gemma":[0.004459598,0.0002182134,0.0005446404,0.0005487718,0.00183108,0.00187932,0.001011036,0.0009365852,0.0001699928],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009541447,"about_ca_system_score_gemma":0.0004060573,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008839315,"about_ca_topic_score_gemma":0.0004710309,"domain_scores_codex":[0.9995778,0.00006688255,0.00002307998,0.0001089704,0.0001568571,0.00006637307],"domain_scores_gemma":[0.9981463,0.0009435403,0.0004087124,0.0001438954,0.0002127919,0.0001447638],"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":[0.00004557792,0.00002995114,0.002869863,0.00006155218,0.00001780473,0.0003420846,0.0006104875,0.02880206,0.008306455,0.9414706,0.0003517315,0.01709192],"study_design_scores_gemma":[0.00001079561,0.0001163323,0.005778224,0.00005192591,0.00001827125,0.0005708994,0.0005024773,0.4430555,0.007898288,0.5385526,0.003387889,0.00005676824],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6706935,0.0003799273,0.3151,0.0002620145,0.00003867228,0.00002353435,0.000104911,0.0001046323,0.01329273],"genre_scores_gemma":[0.9634512,0.0002478817,0.03163208,0.00003745134,0.00003372266,0.00005823131,0.00008764536,0.00002935687,0.004422373],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002077179,"threshold_uncertainty_score":0.006948888,"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."}}