{"id":"W3127350324","doi":"10.48550/arxiv.1911.02974","title":"Cutoff for Random Walks on Upper Triangular Matrices","year":2019,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Graph theory and applications","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Combinatorics; Conjecture; Mathematics; Cutoff; Heisenberg group; Dihedral group; Abelian group; Cayley graph; Group (periodic table); Random walk; Graph; Physics; Statistics; Mathematical analysis; 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":[0.001535129,0.0005690568,0.0009840417,0.001483439,0.001403013,0.001948024,0.001252155,0.001166152,0.007400211],"category_scores_gemma":[0.01546818,0.0003652704,0.0007944817,0.0008109941,0.002141561,0.003562824,0.001867721,0.003005576,0.0009846587],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002187313,"about_ca_system_score_gemma":0.001039767,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002198469,"about_ca_topic_score_gemma":0.002217124,"domain_scores_codex":[0.9990933,0.0002688611,0.0000345301,0.0001730572,0.0001563776,0.0002739136],"domain_scores_gemma":[0.9894384,0.00564453,0.001080183,0.001362864,0.0007850899,0.001688983],"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":[0.000239298,0.00009425053,0.001451581,0.00009759699,0.00001981057,0.0003360467,0.0003878038,0.01692274,0.005782014,0.9642198,0.004328649,0.006120419],"study_design_scores_gemma":[0.00005845784,0.0000744859,0.000854616,0.00004781002,0.00001381566,0.0001689171,0.0001041325,0.2996378,0.002114523,0.6943142,0.002572327,0.00003891029],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6410492,0.001415627,0.2960277,0.002176761,0.0002812746,0.0001828908,0.0007888005,0.002074419,0.05600329],"genre_scores_gemma":[0.9740211,0.0003538434,0.01751946,0.0003470146,0.000100558,0.0002180469,0.00053844,0.0002174903,0.006684062],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007400211,"threshold_uncertainty_score":0.02475619,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1075488268547095,"score_gpt":0.2351928607429992,"score_spread":0.1276440338882897,"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."}}