{"id":"W2165513768","doi":"10.1007/978-3-7643-8786-0_17","title":"Chip-Firing and Rotor-Routing on Directed Graphs","year":2008,"lang":"en","type":"book-chapter","venue":"Progress in probability","topic":"Theoretical and Computational Physics","field":"Physics and Astronomy","cited_by":135,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Router; Rotor (electric); Abelian sandpile model; Routing (electronic design automation); Computer science; Chip; Mathematics; Engineering; Physics; Computer network; Statistical physics; Electrical engineering; Telecommunications","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":[0.0002230326,0.0004445598,0.0004012143,0.0004441676,0.0003904131,0.0009926519,0.000859812,0.0007495018,0.003609738],"category_scores_gemma":[0.0006309364,0.0002939712,0.0004623362,0.0007351314,0.001090423,0.001893619,0.0004601918,0.00115051,0.0008202599],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006593955,"about_ca_system_score_gemma":0.0003803685,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006108254,"about_ca_topic_score_gemma":0.0007161761,"domain_scores_codex":[0.9998571,0.00003465905,0.000006425633,0.00002958817,0.00005283699,0.00001944819],"domain_scores_gemma":[0.9997653,0.0001346138,0.00001689731,0.00003854015,0.00002773588,0.00001676259],"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":[0.000003071239,0.000006287343,0.00003753841,0.00005093105,0.000003819363,0.00003316587,0.00002565357,0.009636608,0.0005348086,0.9793299,0.002323129,0.00801517],"study_design_scores_gemma":[0.000003767615,0.000007885238,0.00007336074,0.00002328336,0.000004512093,0.0001071016,0.00001577554,0.0357441,0.0004643951,0.9432076,0.02034013,0.00000803774],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.05582108,0.01703031,0.6886187,0.002903571,0.001316913,0.00004569174,0.0002931559,0.0004948855,0.2334757],"genre_scores_gemma":[0.7472472,0.02729493,0.1095792,0.00116026,0.001079872,0.0001314511,0.0004463588,0.0002808445,0.1127799],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003609738,"threshold_uncertainty_score":0.01207578,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01458981820779506,"score_gpt":0.236644025043802,"score_spread":0.222054206836007,"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."}}