{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009264537,0.0004547134,0.0005646952,0.001255736,0.0004068813,0.001236957,0.0006512238,0.0006704538,0.00287877],"category_scores_gemma":[0.006045593,0.0001736272,0.0008353064,0.0004704922,0.002051553,0.00243666,0.001459708,0.001144592,0.0003374027],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006769113,"about_ca_system_score_gemma":0.0003211376,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003873439,"about_ca_topic_score_gemma":0.0001798732,"domain_scores_codex":[0.9994368,0.0001495705,0.00003042199,0.0001011098,0.0001833116,0.00009881188],"domain_scores_gemma":[0.9980729,0.000828828,0.0003067416,0.0002833446,0.0002882235,0.0002200692],"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":[0.0002264945,0.00009436454,0.003244314,0.0001356356,0.0000662594,0.0006762465,0.0003992129,0.06876584,0.02472979,0.8906184,0.0007591142,0.01028427],"study_design_scores_gemma":[0.00003206169,0.000131799,0.002852347,0.00002775402,0.00002831799,0.000513153,0.0001073742,0.3664015,0.006526504,0.6220417,0.001297525,0.00003990553],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7912651,0.0005812942,0.1864773,0.0003891713,0.0001004106,0.0000450136,0.0001625373,0.0002427807,0.02073637],"genre_scores_gemma":[0.992928,0.0002339518,0.003812255,0.00004665793,0.00006841196,0.0000253887,0.00008761638,0.00004115082,0.002756504],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00287877,"threshold_uncertainty_score":0.009630382,"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."}}