{"id":"W2038413764","doi":"10.1142/s0218127413500259","title":"INVARIANT MEASURES FOR RANDOM MAPS VIA INTERPOLATION","year":2013,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","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":"Mathematics; Piecewise; Invariant measure; Piecewise linear function; Invertible matrix; Invariant (physics); Interpolation (computer graphics); Absolute continuity; Position (finance); Measure (data warehouse); Probability measure; Linear interpolation; Mathematical analysis; Combinatorics; Discrete mathematics; Pure mathematics; Motion (physics); 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00238032,0.000620918,0.0005751043,0.002374465,0.0005131366,0.001113024,0.0009932001,0.0006279498,0.00185837],"category_scores_gemma":[0.008870676,0.0003371536,0.0009142421,0.001079081,0.001537288,0.001769659,0.001477394,0.001286844,0.0002693209],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001457959,"about_ca_system_score_gemma":0.0007586877,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001913293,"about_ca_topic_score_gemma":0.0008157553,"domain_scores_codex":[0.9991696,0.0003089286,0.00003639538,0.0001092706,0.0002764906,0.00009935176],"domain_scores_gemma":[0.9968156,0.001871197,0.0004219512,0.0002899481,0.0004100015,0.0001913093],"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":[0.00004868733,0.00002405633,0.00060439,0.000066642,0.00001899585,0.00009873859,0.0001470604,0.09215887,0.002824796,0.8862486,0.0004357714,0.01732326],"study_design_scores_gemma":[0.00001036362,0.00004689525,0.000410403,0.00001632137,0.000008895603,0.0000844468,0.00002517083,0.7586429,0.001212089,0.2377378,0.001782936,0.00002180225],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05832983,0.0005107609,0.933031,0.000248999,0.00006961152,0.00004357225,0.00008330534,0.0001938809,0.00748901],"genre_scores_gemma":[0.8055341,0.001074009,0.1812543,0.0001201514,0.000162994,0.0001567918,0.0002495146,0.0001491372,0.01129906],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00238032,"threshold_uncertainty_score":0.0125885,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03122907321970825,"score_gpt":0.306679565999311,"score_spread":0.2754504927796028,"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."}}