{"id":"W3127887927","doi":"10.48550/arxiv.2102.02809","title":"Cutoff for Almost All Random Walks on Abelian Groups","year":2021,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Engineering and Physical Sciences Research Council","keywords":"Mathematics; Combinatorics; Conjecture; Cayley graph; Abelian group; Cutoff; Random walk; Order (exchange); Discrete mathematics; Graph; 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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002752734,0.0004470928,0.000721472,0.0001342144,0.0001506118,0.00009337551,0.0005518061,0.0004613303,0.0001672636],"category_scores_gemma":[0.001169174,0.000475649,0.0003827731,0.0002167089,0.00006210007,0.00006642428,0.0005139526,0.0005953111,0.00004172813],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001808098,"about_ca_system_score_gemma":0.0001787959,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004707595,"about_ca_topic_score_gemma":0.00007511903,"domain_scores_codex":[0.9979431,0.0000715424,0.0003267295,0.001033098,0.0001365983,0.0004889045],"domain_scores_gemma":[0.9968402,0.001515195,0.0002756157,0.0008218141,0.0003062965,0.0002408369],"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":[0.0005545364,0.0003217444,0.00001007485,0.0010191,0.0003481633,0.0003395335,0.0002390769,0.00236602,0.00002413691,0.9919721,0.002220058,0.0005854029],"study_design_scores_gemma":[0.002478888,0.0001917409,0.0000111822,0.0004197838,0.0006292357,0.000005872204,0.0001855362,0.1464996,0.0001244307,0.8479322,0.0009257274,0.0005958983],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04668197,0.00005070066,0.9491633,0.000120407,0.0008301408,0.000850997,0.000290865,0.0001597608,0.001851824],"genre_scores_gemma":[0.9855413,0.0001831732,0.01137852,0.0002943431,0.0001836002,0.0000124582,0.0001623188,0.00008298022,0.002161331],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9388593,"threshold_uncertainty_score":0.9997695,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1661501081235585,"score_gpt":0.2519247781135132,"score_spread":0.08577466998995467,"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."}}