{"id":"W1988684601","doi":"10.4153/cjm-2008-015-4","title":"Asymptotic Properties for Increments of <i>l</i><sup>∞</sup>-Valued Gaussian Random Fields","year":2008,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Gaussian; Moduli; Gaussian random field; Random field; Gaussian process; Pure mathematics; Statistics; Quantum mechanics; Physics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.006717919,0.0006800895,0.0009329831,0.002849599,0.0007697165,0.002770112,0.001798293,0.001121998,0.00368315],"category_scores_gemma":[0.0354701,0.0004913021,0.0008807548,0.001185615,0.004569459,0.005564727,0.002655487,0.002645827,0.0002700857],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001846646,"about_ca_system_score_gemma":0.0009681041,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001289788,"about_ca_topic_score_gemma":0.0006448305,"domain_scores_codex":[0.9991118,0.0002621199,0.00005782078,0.0001847313,0.0002228207,0.0001606646],"domain_scores_gemma":[0.9789053,0.01306291,0.002722574,0.001326369,0.002175902,0.00180687],"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":[0.00006375869,0.00003942982,0.003106868,0.00007685326,0.00001975365,0.0002185276,0.000202709,0.00747081,0.002090991,0.9818721,0.0005025265,0.004335707],"study_design_scores_gemma":[0.00003350061,0.0001180826,0.005136611,0.00008791406,0.00003835579,0.0005047522,0.0001918373,0.1981104,0.003015855,0.7912158,0.001479675,0.00006741846],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5851162,0.001903983,0.3879645,0.002540634,0.000119939,0.00008264738,0.0003147601,0.0004437253,0.02151352],"genre_scores_gemma":[0.9828618,0.0007121395,0.01344123,0.0001901984,0.0001404917,0.00006313837,0.0001111282,0.00006701811,0.002412931],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006717919,"threshold_uncertainty_score":0.03552818,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1596984711094276,"score_gpt":0.3143309169661926,"score_spread":0.154632445856765,"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."}}