{"id":"W2217559823","doi":"10.1142/s0218348x15500383","title":"APPROXIMATION BY ABSOLUTELY CONTINUOUS INVARIANT MEASURES OF ITERATED FUNCTION SYSTEMS WITH PLACE-DEPENDENT PROBABILITIES","year":2015,"lang":"en","type":"article","venue":"Fractals","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Prince Edward Island","funders":"","keywords":"Invariant measure; Mathematics; Iterated function system; Absolute continuity; Lebesgue measure; Measure (data warehouse); Iterated function; Invariant (physics); Bounded function; Continuous function (set theory); Attractor; Discrete mathematics; Combinatorics; Function (biology); Lebesgue integration; Pure mathematics; Mathematical analysis; Ergodic theory","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":[0.001704155,0.0009710075,0.001105049,0.002517089,0.001129807,0.002577908,0.001638656,0.001219566,0.002592302],"category_scores_gemma":[0.009862881,0.0006567442,0.001628771,0.0007859875,0.002977565,0.002705637,0.001948705,0.001627279,0.0003077513],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002389016,"about_ca_system_score_gemma":0.0009060713,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00300183,"about_ca_topic_score_gemma":0.001407872,"domain_scores_codex":[0.998983,0.0002678076,0.00006097144,0.000164252,0.0003530064,0.0001709453],"domain_scores_gemma":[0.9958093,0.002009547,0.0008766853,0.0003823726,0.0004973516,0.0004247268],"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":[0.00007609254,0.00004492222,0.001459975,0.00009264671,0.00005961993,0.0003938388,0.0003925721,0.06115062,0.004328275,0.9274503,0.0004567029,0.004094405],"study_design_scores_gemma":[0.00003235322,0.00006450955,0.0008956457,0.00004010753,0.00002985115,0.0001967118,0.00006917486,0.6136017,0.001334053,0.3827141,0.00097345,0.00004839991],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.588357,0.001400555,0.386019,0.0008411471,0.0001394252,0.0000532651,0.000158802,0.0003813856,0.02264949],"genre_scores_gemma":[0.9736172,0.0004581236,0.02063786,0.00006442486,0.00008349147,0.00006771296,0.0001007831,0.00007642736,0.00489413],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00300183,"threshold_uncertainty_score":0.01733357,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06445748208747609,"score_gpt":0.2587377513709149,"score_spread":0.1942802692834388,"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."}}