{"id":"W1951580418","doi":"10.37236/3571","title":"The Range of a Random Walk on a Comb","year":2013,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Hungarian Scientific Research Fund; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; National Science Foundation","keywords":"Combinatorics; Mathematics; Vertex (graph theory); Random walk; Graph; Integer (computer science); Discrete mathematics; Statistics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001484524,0.0001376184,0.0003646566,0.00004098562,0.0001727866,0.00003825312,0.000627536,0.00005333539,0.00002946442],"category_scores_gemma":[0.00220338,0.00006450592,0.0001459922,0.0002275897,0.00007878259,0.00005316517,0.0000410513,0.0006352243,0.00001229913],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001079718,"about_ca_system_score_gemma":0.0002276013,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005044232,"about_ca_topic_score_gemma":0.000002340736,"domain_scores_codex":[0.9982281,0.0001348567,0.0005764501,0.00006845793,0.0005588655,0.0004332296],"domain_scores_gemma":[0.9939353,0.00464792,0.000589396,0.000283034,0.0004779429,0.00006639418],"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":[0.0002094944,0.0001373357,0.000002770012,0.00002460832,0.00009809509,0.000001599046,0.0001657484,0.000002599869,0.00004125628,0.9953988,0.00209906,0.001818689],"study_design_scores_gemma":[0.002056621,0.001156032,0.0000174527,0.00005406585,0.00009889006,0.00006124032,0.0001684836,0.0008752061,0.0003421775,0.9943722,0.000724404,0.00007323113],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1804794,0.008563066,0.7971181,0.007236266,0.001473305,0.001235659,0.000005370002,0.00003723557,0.00385159],"genre_scores_gemma":[0.9989768,0.0005341367,0.00006956302,0.00006717358,0.00005728377,0.0000108228,8.30336e-8,0.00001909519,0.0002650908],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8184973,"threshold_uncertainty_score":0.2759769,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0148433523588634,"score_gpt":0.271332936538817,"score_spread":0.2564895841799535,"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."}}