{"id":"W3199959915","doi":"10.1007/s00023-021-01096-3","title":"The Vanishing of the Fundamental Gap of Convex Domains in H<sup>n</sup>","year":2021,"lang":"en","type":"article","venue":"Research Online (University of Wollongong)","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"Concordia University","funders":"Australian Research Council; Natural Sciences and Engineering Research Council of Canada; Simons Foundation; National Science Foundation","keywords":"Mathematics; Regular polygon; Product (mathematics); Square (algebra); Convex domain; Operator (biology); Boundary (topology); Convex function; Combinatorics; Dirichlet boundary condition; Dirichlet distribution; Laplace transform; Mathematical analysis; Pure mathematics; Boundary value problem; Geometry; Chemistry","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001584616,0.0001552334,0.0004501027,0.0002250815,0.0004441933,0.00003191239,0.001031177,0.0001418905,0.0003617048],"category_scores_gemma":[0.001693264,0.0001330741,0.0002891159,0.001317138,0.0009432636,0.0001974004,0.001048529,0.0005973213,0.00001169922],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001826589,"about_ca_system_score_gemma":0.0006245764,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005037492,"about_ca_topic_score_gemma":0.01448255,"domain_scores_codex":[0.9965229,0.0009374118,0.0004345323,0.0003034283,0.001310345,0.000491383],"domain_scores_gemma":[0.9961384,0.001869194,0.0002724995,0.0008518989,0.0007445269,0.0001234831],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","study_design_scores_codex":[0.001369024,0.01020655,0.02838894,0.001992897,0.001645297,0.0002917249,0.03226661,0.0007040888,0.4284601,0.4720091,0.01135993,0.01130571],"study_design_scores_gemma":[0.02420999,0.002107828,0.2703992,0.004410301,0.0009837971,0.00008859874,0.2170959,0.1278081,0.08590317,0.228194,0.03649168,0.002307414],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9938487,0.0001498237,0.0004645244,0.002916256,0.00006607207,0.0004811797,0.00033171,0.00001705557,0.00172461],"genre_scores_gemma":[0.9922605,0.0002088482,0.004297545,0.000008718604,0.00006080422,9.63274e-7,0.00004304379,0.00002422564,0.003095333],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.342557,"threshold_uncertainty_score":0.8081605,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1251040114254765,"score_gpt":0.3680142941144791,"score_spread":0.2429102826890026,"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."}}