{"id":"W3123450492","doi":"","title":"Nonlinearity and Temporal Dependence","year":2008,"lang":"en","type":"article","venue":"RePEc: Research Papers in Economics","topic":"Markov Chains and Monte Carlo Methods","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"National Science Foundation","keywords":"Mixing (physics); Scalar (mathematics); Statistical physics; Exponential decay; Mathematics; Exponential function; Nonlinear system; Poisson distribution; Diffusion; Markov chain; Stationary state; Physics; Mathematical analysis; Statistics; Quantum mechanics","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":[0.0008898616,0.0003231283,0.0003601469,0.0005890833,0.000589254,0.001216977,0.0006934786,0.0009914511,0.00668062],"category_scores_gemma":[0.007733119,0.0003096201,0.0007124463,0.0005417552,0.001702065,0.002858042,0.001254795,0.001389119,0.0006140516],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001370801,"about_ca_system_score_gemma":0.0008967133,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005841409,"about_ca_topic_score_gemma":0.003841509,"domain_scores_codex":[0.9995764,0.00009199627,0.00002131556,0.0001079808,0.0001227379,0.00007961408],"domain_scores_gemma":[0.9952146,0.003032117,0.0006662378,0.0004416732,0.000467051,0.0001782713],"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":[0.000100571,0.0000309999,0.008154242,0.0001679849,0.00005108749,0.0004681714,0.0006402948,0.09723277,0.008876677,0.8639127,0.001535333,0.0188292],"study_design_scores_gemma":[0.00002134305,0.00005733105,0.009581137,0.00007507941,0.00004796941,0.0006155345,0.0002515666,0.3923023,0.002603663,0.5839033,0.01047496,0.00006571063],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.4856844,0.004718955,0.3986425,0.008516022,0.0002648621,0.00004849646,0.0005802608,0.0003657186,0.1011786],"genre_scores_gemma":[0.9763298,0.001317003,0.004765521,0.000200344,0.00009953334,0.000031953,0.00007134688,0.00006006084,0.0171244],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.00668062,"threshold_uncertainty_score":0.02234888,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1148665024818917,"score_gpt":0.3925281830408592,"score_spread":0.2776616805589675,"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."}}