{"id":"W2030237423","doi":"10.1007/s00039-002-8265-5","title":"The remainder in Weyl's law for random two-dimensional","year":2002,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Remainder; Mathematics; Lambda; Combinatorics; Lattice (music); Order (exchange); Arithmetic; Physics; Quantum mechanics","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":[0.004747387,0.001381784,0.002339161,0.003550572,0.002943532,0.003962837,0.002900709,0.002567342,0.006820708],"category_scores_gemma":[0.01561197,0.0006711144,0.00134923,0.001796969,0.01081426,0.01000533,0.003526661,0.00414971,0.0007503901],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002393855,"about_ca_system_score_gemma":0.00119578,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00185587,"about_ca_topic_score_gemma":0.0007831858,"domain_scores_codex":[0.99844,0.0005825028,0.0000716962,0.0002127968,0.0004710982,0.0002219983],"domain_scores_gemma":[0.9950995,0.002555237,0.0004970792,0.0007571833,0.0004416443,0.000649466],"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":[0.000009586421,0.000004462898,0.00003966464,0.0000123729,0.00000232066,0.00001894558,0.00006583667,0.0003791865,0.00008373168,0.9983701,0.0003942401,0.0006196168],"study_design_scores_gemma":[0.000007533731,0.000007067303,0.00007803571,0.000008350141,0.000003408622,0.00003783153,0.00002046834,0.004583779,0.00007376234,0.9943527,0.0008155692,0.00001143144],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4739075,0.006091827,0.3448658,0.01439489,0.002267246,0.0001689878,0.0005372835,0.0009828762,0.1567836],"genre_scores_gemma":[0.9385496,0.001717246,0.01916232,0.001347072,0.001820278,0.0001559022,0.0002331183,0.0003646657,0.0366499],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006820708,"threshold_uncertainty_score":0.02510691,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06307714316473177,"score_gpt":0.3039807872891302,"score_spread":0.2409036441243984,"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."}}