{"id":"W4415465097","doi":"10.1142/s0219493725500327","title":"Quasi-compactness of Frobenius–Perron operator for piecewise expanding C1+𝜀 maps of an interval","year":2025,"lang":"en","type":"article","venue":"Stochastics and Dynamics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Piecewise; Absolute continuity; Ergodic theory; Operator (biology); Mixing (physics); Invariant measure; Interval (graph theory); Invariant (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":[0.0004159744,0.0002109392,0.0006511451,0.0001530296,0.00007662463,0.00003573227,0.0002152895,0.0001378992,0.00001114307],"category_scores_gemma":[0.0005396436,0.0001852,0.000121719,0.0001402059,0.0001378427,0.00008508995,0.000113457,0.0001178785,2.611133e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004410549,"about_ca_system_score_gemma":0.00005754803,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001920418,"about_ca_topic_score_gemma":0.00007651896,"domain_scores_codex":[0.9986737,0.00002648588,0.0006591636,0.0002404363,0.0001635993,0.0002366542],"domain_scores_gemma":[0.9984617,0.0006349275,0.0002441558,0.0003435123,0.0002191913,0.00009655106],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001175173,0.0006293834,0.00007664372,0.001467446,0.00008357646,7.844228e-7,0.0005261141,0.0001157747,0.0006269932,0.9929761,0.00005681753,0.003322884],"study_design_scores_gemma":[0.000702667,0.0003618834,0.00002768915,0.0003607082,0.0001057185,0.000001929969,0.0007561017,0.6052765,0.0002106664,0.3920318,0.00001485712,0.000149528],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3238372,0.00004508985,0.6744456,0.00004686744,0.0001516334,0.0003896501,0.0005416801,0.00001860026,0.0005236472],"genre_scores_gemma":[0.9457679,0.00001094372,0.05383589,0.00002298192,0.00002756729,0.00002508767,0.00007383845,0.00003084254,0.0002049413],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6219307,"threshold_uncertainty_score":0.7552238,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02450680878243814,"score_gpt":0.3427146085648287,"score_spread":0.3182077997823905,"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."}}