{"id":"W2953060752","doi":"10.48550/arxiv.1011.5034","title":"Krein formula and S-matrix for Euclidean Surfaces with Conical Singularities","year":2010,"lang":"en","type":"preprint","venue":"","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Concordia University","funders":"","keywords":"Conical surface; Gravitational singularity; Euclidean geometry; Matrix (chemical analysis); Mathematics; Pure mathematics; Mathematical analysis; Geometry; Materials science; Composite material","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"],"consensus_categories":[],"category_scores_codex":[0.0007707581,0.0005140399,0.001005943,0.00006028973,0.0001341418,0.0002643777,0.0004173569,0.0005455866,0.000131249],"category_scores_gemma":[0.0009151425,0.0003687753,0.0002027875,0.00004995296,0.000446174,0.00009841535,0.0004700568,0.0009891086,0.000009201315],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004298948,"about_ca_system_score_gemma":0.0001074356,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000195288,"about_ca_topic_score_gemma":0.000109604,"domain_scores_codex":[0.9980075,0.00005971963,0.0005672036,0.0005623996,0.0003473796,0.0004557973],"domain_scores_gemma":[0.9954188,0.003125791,0.0002867499,0.0008212336,0.0001899915,0.0001574263],"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":[0.00008138635,0.0001297704,0.00003012654,0.001902463,0.0001511921,0.000003583802,0.0003460724,0.00001725203,0.0003210196,0.9964655,0.0004433996,0.0001082346],"study_design_scores_gemma":[0.0006328278,0.0001403434,0.00001051972,0.000314409,0.0002425722,0.00001860556,0.0002010826,0.004856366,0.003452367,0.9893273,0.0002596913,0.0005439282],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8808604,0.0001084863,0.09864136,0.0006265999,0.0002487345,0.00231419,0.00008420714,0.0005032821,0.01661271],"genre_scores_gemma":[0.5874486,0.00001276068,0.4099313,0.00006224029,0.0002260414,0.0001271488,0.00002249128,0.0001285568,0.002040881],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3112899,"threshold_uncertainty_score":0.9998764,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05034324810826735,"score_gpt":0.362072019280375,"score_spread":0.3117287711721077,"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."}}