{"id":"W4412337311","doi":"","title":"Rellich’s theorem, limiting absorption principle and radiation condition on manifold with ends","year":2015,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"Japan Society for the Promotion of Science","keywords":"Limiting; Manifold (fluid mechanics); Radiation; Absorption (acoustics); Mathematics; Physics; Pure mathematics; Optics; Engineering; Mechanical engineering","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":[],"consensus_categories":[],"category_scores_codex":[0.0005150783,0.0001085493,0.0001486294,0.000153988,0.00005672364,0.00005809791,0.00004443121,0.00006892818,0.0001074313],"category_scores_gemma":[0.0002110258,0.0000737821,0.00002873977,0.0002935331,0.00001392537,0.00014217,0.00001428677,0.00009436112,0.00003768927],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000454008,"about_ca_system_score_gemma":0.00001519472,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001010099,"about_ca_topic_score_gemma":0.00002410735,"domain_scores_codex":[0.9991971,0.00004271595,0.0001730014,0.0001820537,0.000277696,0.0001274157],"domain_scores_gemma":[0.9993799,0.0001398695,0.000131589,0.0001714741,0.00009344744,0.00008374747],"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":[0.00005916631,0.0001184941,0.003877883,0.00002759105,0.00006892105,0.000004439378,0.0005342992,0.00009490204,0.000105822,0.985917,0.003319801,0.005871664],"study_design_scores_gemma":[0.01267171,0.005135412,0.09128852,0.0004646385,0.001229524,0.000226492,0.0136592,0.06686142,0.01375704,0.7047239,0.08718132,0.002800804],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9168906,0.00005753593,0.01383285,0.0002525496,0.00004390063,0.0001698939,0.000002476827,0.0000950089,0.06865521],"genre_scores_gemma":[0.9949429,0.00001794359,0.002610093,0.0001231749,0.0001029705,0.00001028816,0.0000299868,0.00001422644,0.002148439],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2811931,"threshold_uncertainty_score":0.3008747,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04306898370740214,"score_gpt":0.2926892768043249,"score_spread":0.2496202930969228,"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."}}