{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004747941,0.0002231009,0.0004582406,0.000944768,0.0008562816,0.001249272,0.000752242,0.0006040343,0.003963104],"category_scores_gemma":[0.004840019,0.0002251597,0.0003672358,0.0004367632,0.001343608,0.002126144,0.001019889,0.0007165939,0.0005348368],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003900485,"about_ca_system_score_gemma":0.0002498044,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006700567,"about_ca_topic_score_gemma":0.0005194779,"domain_scores_codex":[0.999653,0.0001014952,0.00001584519,0.00008512893,0.00007863294,0.00006588337],"domain_scores_gemma":[0.9972373,0.001555279,0.0002881427,0.0004039747,0.0001762001,0.0003390106],"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":[0.0006951048,0.0001570696,0.005712111,0.0001968421,0.00004775319,0.001257466,0.0005130137,0.04819226,0.0268234,0.8861615,0.005136219,0.02510721],"study_design_scores_gemma":[0.00009792366,0.0002077418,0.002971132,0.00005674964,0.00003496067,0.001126194,0.0002749116,0.334404,0.00674843,0.6460311,0.007990696,0.00005617634],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8514718,0.0006045147,0.1093517,0.001184672,0.00009628693,0.00004828985,0.0005014089,0.0005027376,0.03623842],"genre_scores_gemma":[0.9839574,0.0002025935,0.01109411,0.0001240947,0.00005931065,0.00006574984,0.0002206326,0.00008258582,0.004193455],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003963104,"threshold_uncertainty_score":0.01325792,"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."}}