{"id":"W2505663074","doi":"10.1090/gsm/139/07","title":"Markov chains and random walks","year":2012,"lang":"en","type":"book-chapter","venue":"Graduate studies in mathematics","topic":"History and advancements in chemistry","field":"Chemistry","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Random walk; Markov chain; Statistical physics; Mathematics; Computer science; Statistics; Physics","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":[0.0007085378,0.001107036,0.001133633,0.00131936,0.0008028785,0.002191534,0.0008084595,0.001493612,0.01619476],"category_scores_gemma":[0.003104346,0.0005854972,0.0005424659,0.001926381,0.002297718,0.002880102,0.0008414656,0.002365929,0.003149323],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001693778,"about_ca_system_score_gemma":0.001033379,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003257971,"about_ca_topic_score_gemma":0.00266811,"domain_scores_codex":[0.9994686,0.0002079485,0.00002186864,0.00009038835,0.0001685959,0.00004255485],"domain_scores_gemma":[0.9985996,0.001054792,0.0000765787,0.00009252584,0.0001267646,0.00004981912],"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":[0.00000334709,0.00001035279,0.00006153039,0.00003855478,0.000007438403,0.00001901418,0.00005864813,0.005972213,0.00006030312,0.9771115,0.007148515,0.00950857],"study_design_scores_gemma":[0.000002767383,0.000002748571,0.00005713154,0.00002347609,0.000002929402,0.00001739062,0.00001447907,0.00982876,0.00002977675,0.9697444,0.02027036,0.000005811932],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.01445656,0.0561984,0.3870166,0.009086266,0.003010232,0.0001013149,0.0007047572,0.0005085269,0.5289173],"genre_scores_gemma":[0.4257662,0.06575962,0.05047791,0.002637793,0.005318716,0.000436002,0.000980303,0.0005702961,0.448053],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.01619476,"threshold_uncertainty_score":0.05417687,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1147814908717393,"score_gpt":0.3157564728315169,"score_spread":0.2009749819597776,"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."}}