{"id":"W3102001055","doi":"","title":"ASYMPTOTIC ENTROPY OF TRANSFORMED RANDOM WALKS","year":2016,"lang":"en","type":"article","venue":"","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"","keywords":"Random walk; Ergodic theory; Mathematics; Markov chain; Stopping time; Combinatorics; Entropy (arrow of time); Statistical physics; Entropy rate; Markov process; Large deviations theory; Discrete mathematics; Pure mathematics; Binary entropy function; Principle of maximum entropy; Statistics; Physics; 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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001757382,0.00007834,0.0002483732,0.0001081058,0.00001647947,0.000001964354,0.0001088468,0.00006066753,0.003907943],"category_scores_gemma":[0.0004217374,0.00003967716,0.00009543593,0.0001426555,0.00007980322,0.00003822856,0.00001180688,0.00002961808,0.00008555308],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001194773,"about_ca_system_score_gemma":0.00002207027,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007387127,"about_ca_topic_score_gemma":0.000005533894,"domain_scores_codex":[0.9992973,0.0000298913,0.0002575881,0.0001029217,0.0001250942,0.0001871668],"domain_scores_gemma":[0.9987854,0.0009085059,0.00005669859,0.0001644174,0.00003581294,0.00004917739],"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":[0.000121258,0.0001287125,0.001433398,0.00005022378,0.00007471357,0.00000257246,0.0001766739,3.836413e-8,0.00713175,0.9596309,0.003067064,0.02818269],"study_design_scores_gemma":[0.009602051,0.0002799999,0.001975457,0.00003987931,0.00007757615,0.00001936025,0.0001349124,0.00001073934,0.05821257,0.925987,0.003466908,0.0001935201],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7975979,0.00005016509,0.1646721,0.00207638,0.000190204,0.0002512973,0.000005524768,0.00008844277,0.03506796],"genre_scores_gemma":[0.9890176,0.00002578447,0.002780598,0.0000429676,0.00002949063,0.000005444677,2.887093e-7,0.000008549345,0.008089274],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1914197,"threshold_uncertainty_score":0.9970026,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02531609795087993,"score_gpt":0.2771029008135155,"score_spread":0.2517868028626356,"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."}}