{"id":"W2945238873","doi":"10.4171/jst/345","title":"Conformal invariants from nodal sets. II. Manifolds with boundary","year":2021,"lang":"en","type":"preprint","venue":"Journal of Spectral Theory","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University; Memorial University of Newfoundland","funders":"Fonds Québécois de la Recherche sur la Nature et les Technologies; Natural Sciences and Engineering Research Council of Canada; McGill University; Johns Hopkins University","keywords":"Covariant transformation; Boundary (topology); Mathematics; Conformal map; Curvature; Boundary conformal field theory; Pure mathematics; Eigenvalues and eigenvectors; Neumann boundary condition; Order (exchange); Dirichlet distribution; Boundary value problem; Mathematical analysis; Robin boundary condition; Mathematical physics; Geometry; 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":[0.0003445573,0.0004127462,0.0002953488,0.001243409,0.000847489,0.001501849,0.0005388329,0.0008260785,0.002655363],"category_scores_gemma":[0.001179307,0.000196655,0.0003623114,0.0003734363,0.002559664,0.002340799,0.001751291,0.001389611,0.0003314559],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005984067,"about_ca_system_score_gemma":0.0002308549,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004473359,"about_ca_topic_score_gemma":0.0003006069,"domain_scores_codex":[0.9997781,0.00003766864,0.000009939449,0.00003794316,0.00009098498,0.00004547282],"domain_scores_gemma":[0.999709,0.00006656899,0.00006484658,0.00004399308,0.00004447122,0.00007112142],"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":[0.00001140433,0.00001296867,0.0005535627,0.00002832879,0.000002339866,0.0001482097,0.0002556994,0.001645843,0.006315154,0.9876553,0.0003036108,0.003067614],"study_design_scores_gemma":[0.00001177254,0.00002952199,0.001338466,0.00002752807,0.00000480539,0.0004024379,0.0004252369,0.01966638,0.004300204,0.9710051,0.002771064,0.00001748653],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8286723,0.001179913,0.08868161,0.001069406,0.0002011014,0.00004042382,0.00009229337,0.0001641198,0.07989871],"genre_scores_gemma":[0.9906278,0.0001960293,0.004045335,0.00007341302,0.00006279595,0.00001247267,0.00004124327,0.00004306199,0.004897903],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002655363,"threshold_uncertainty_score":0.008883059,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04385793145651345,"score_gpt":0.3103663169208339,"score_spread":0.2665083854643204,"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."}}