{"id":"W2160503600","doi":"10.1214/ejp.v14-710","title":"Strong Limit Theorems for a Simple Random Walk on the 2-Dimensional Comb","year":2009,"lang":"en","type":"article","venue":"Electronic Journal of Probability","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Strassen algorithm; Law of the iterated logarithm; Random walk; Simple (philosophy); Limit (mathematics); Iterated function; Logarithm; Lattice (music); Iterated logarithm; Combinatorics; Type (biology); Simple random sample; Invariance principle; Discrete mathematics; Mathematical analysis; Statistics","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":[0.001253145,0.000630056,0.0005410776,0.001492906,0.0009253681,0.001520888,0.001093801,0.0008300443,0.003553846],"category_scores_gemma":[0.005148323,0.0003145795,0.0008463943,0.000636834,0.002313126,0.002405767,0.001495529,0.00104018,0.0003432309],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007832763,"about_ca_system_score_gemma":0.0005724598,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007849531,"about_ca_topic_score_gemma":0.0006890266,"domain_scores_codex":[0.9996639,0.0001140306,0.0000152129,0.00004266651,0.0001078498,0.00005628511],"domain_scores_gemma":[0.9975961,0.00134245,0.0003432474,0.0001512135,0.0002396406,0.0003273725],"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":[0.00004444746,0.00004974472,0.0009442487,0.00008446664,0.00003024072,0.0002730512,0.0001419817,0.01583418,0.003977747,0.9750029,0.0006568136,0.002960235],"study_design_scores_gemma":[0.00005470238,0.0001129882,0.001104943,0.00003326221,0.00002200512,0.0003492117,0.0000846445,0.3457067,0.002212201,0.6489055,0.001369494,0.00004439924],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6506992,0.001055916,0.3260112,0.0008936534,0.000108676,0.000100166,0.0001747156,0.0003011694,0.02065525],"genre_scores_gemma":[0.966535,0.0006255365,0.02598754,0.0001974945,0.0001015965,0.0001994191,0.0001101502,0.00007171616,0.00617156],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003553846,"threshold_uncertainty_score":0.01188874,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04712524377294006,"score_gpt":0.3177771297342598,"score_spread":0.2706518859613197,"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."}}