{"id":"W1961358286","doi":"10.1007/s10959-015-0626-8","title":"Some Limit Theorems for Heights of Random Walks on a Spider","year":2015,"lang":"en","type":"article","venue":"Journal of Theoretical Probability","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"Hungarian Scientific Research Fund","keywords":"Mathematics; Random walk; Brownian motion; Infinity; Limit (mathematics); Simple random sample; Statistical physics; Spider; Combinatorics; Mathematical analysis; Statistics; Physics; Demography","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":[0.007290226,0.001910276,0.001831736,0.007332945,0.002768517,0.005604913,0.005399592,0.002668826,0.01048767],"category_scores_gemma":[0.02808196,0.001542773,0.003666817,0.003171725,0.00578692,0.0127096,0.006644458,0.006112095,0.001084739],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002841383,"about_ca_system_score_gemma":0.001374073,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00136272,"about_ca_topic_score_gemma":0.001385244,"domain_scores_codex":[0.9984229,0.000501741,0.0001309774,0.0002779712,0.0003628433,0.000303669],"domain_scores_gemma":[0.9747373,0.0182419,0.001487009,0.0009896128,0.001636899,0.002907326],"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":[0.00002981525,0.00004041064,0.0005405665,0.0001198379,0.00003693719,0.0001223185,0.0003556584,0.003217539,0.0009643254,0.9888622,0.001191962,0.004518347],"study_design_scores_gemma":[0.00002891373,0.00003996306,0.0005115598,0.00005692987,0.00003931877,0.0002258588,0.0001558844,0.04351826,0.0005334804,0.953287,0.001556939,0.0000459311],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2978375,0.008028193,0.6172972,0.007147165,0.0009943345,0.000266257,0.0008824308,0.0008099609,0.066737],"genre_scores_gemma":[0.8758867,0.006850994,0.08445657,0.002206251,0.002764265,0.0006891214,0.0008283365,0.000668094,0.02564966],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01048767,"threshold_uncertainty_score":0.03855491,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08696054741507954,"score_gpt":0.3406804942696865,"score_spread":0.253719946854607,"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."}}