{"id":"W2153142604","doi":"10.1090/s0002-9947-2012-05695-9","title":"On the asymptotics of determinant of Laplacian at the principal boundary of the principal stratum of the moduli space of Abelian differentials","year":2012,"lang":"lv","type":"article","venue":"Transactions of the American Mathematical Society","topic":"advanced mathematical theories","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Concordia University","funders":"","keywords":"Mathematics; Principal (computer security); Moduli space; Stratum; Laplace operator; Principal part; Pure mathematics; Abelian group; Space (punctuation); Boundary (topology); Mathematical analysis; Moduli; Geology; Paleontology; 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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.002085254,0.0006604894,0.002069197,0.00004358046,0.0005446025,0.00001741772,0.002509525,0.0002435584,0.0003427168],"category_scores_gemma":[0.00151708,0.0002805417,0.002651142,0.00112355,0.01260839,0.0001296232,0.0005005238,0.0009265399,0.000005091543],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001675123,"about_ca_system_score_gemma":0.0002834052,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005272632,"about_ca_topic_score_gemma":0.00003154985,"domain_scores_codex":[0.9934624,0.0009842539,0.002552924,0.0003461631,0.001894163,0.0007600404],"domain_scores_gemma":[0.9844139,0.006925307,0.004637892,0.003472606,0.0004082545,0.000141998],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.0005467776,0.009189755,0.001047912,0.01312518,0.00349305,2.707723e-7,0.05652714,0.001318404,0.09414399,0.8192443,0.0002613161,0.001101887],"study_design_scores_gemma":[0.0009668384,0.0006621536,0.004782689,0.003322237,0.003450088,0.00002571115,0.01746371,0.003108053,0.5997701,0.3658259,0.00008204841,0.000540465],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9545242,0.0001552263,0.03967582,0.00157857,0.000316737,0.00209739,0.000651298,0.00001983389,0.0009809773],"genre_scores_gemma":[0.9895014,0.00009465252,0.009176898,0.00005478675,0.00004103311,0.0000487266,8.034522e-7,0.00009334088,0.0009884082],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5056261,"threshold_uncertainty_score":0.9999647,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02337000781979104,"score_gpt":0.2881405457070693,"score_spread":0.2647705378872783,"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."}}