{"id":"W2964083000","doi":"10.3934/dcds.2011.30.17","title":"SRB measures for certain Markov processes","year":2011,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Concordia University","funders":"","keywords":"Ergodic theory; Monotonic function; Iterated function system; Markov chain; Mathematics; Iterated function; Upper and lower bounds; Invariant (physics); Interval (graph theory); Markov process; Invariant measure; Discrete mathematics; Function (biology); Pure mathematics; Combinatorics; Attractor; Mathematical analysis; Statistics","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":[0.002332513,0.0007205695,0.0009742416,0.002598371,0.00122871,0.002129146,0.0008517323,0.00119388,0.004901469],"category_scores_gemma":[0.01151132,0.0004455844,0.001008259,0.0009576511,0.002681679,0.00298455,0.001334046,0.001751564,0.0004157761],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001613983,"about_ca_system_score_gemma":0.0006199426,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008976131,"about_ca_topic_score_gemma":0.0005748659,"domain_scores_codex":[0.9985903,0.0003671354,0.00009851619,0.0002582376,0.0004594978,0.0002262742],"domain_scores_gemma":[0.9894824,0.005580491,0.002646806,0.0005468389,0.0008085868,0.0009349429],"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":[0.00001783017,0.00002120687,0.0006275469,0.00005013783,0.00001725789,0.0001472085,0.0002225896,0.00566559,0.001706592,0.9885866,0.0003228129,0.002614685],"study_design_scores_gemma":[0.00003331251,0.00005225272,0.00115298,0.00003416981,0.00001708531,0.0002884086,0.0001328654,0.14911,0.001189842,0.8454329,0.00252271,0.000033509],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6328054,0.002014405,0.3233071,0.00161544,0.00009996457,0.0001143799,0.000285451,0.0002555352,0.03950226],"genre_scores_gemma":[0.9683204,0.0007479163,0.02631158,0.0001484472,0.0001833876,0.000142948,0.0002098519,0.00003957745,0.003896],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004901469,"threshold_uncertainty_score":0.01639706,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04110004465921414,"score_gpt":0.2767515448607522,"score_spread":0.235651500201538,"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."}}