{"id":"W2018860200","doi":"10.4171/jst/57","title":"Uniform stability of the Dirichlet spectrum for rough outer perturbations","year":2013,"lang":"en","type":"preprint","venue":"Journal of Spectral Theory","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université Laval","funders":"","keywords":"Omega; Bounded function; Eigenvalues and eigenvectors; Dirichlet eigenvalue; Domain (mathematical analysis); Dirichlet distribution; Spectrum (functional analysis); Mathematics; Stability (learning theory); Mathematical analysis; Physics; Pure mathematics; Dirichlet's principle; Quantum mechanics; Computer science; Boundary value problem","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000740956,0.0004802439,0.0004166561,0.0008710531,0.0006980118,0.001437422,0.0004679031,0.0004874998,0.001990817],"category_scores_gemma":[0.00318444,0.0002534375,0.0003665066,0.0001670158,0.002256058,0.001337016,0.001736171,0.0009920927,0.0003112924],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008952658,"about_ca_system_score_gemma":0.0004132844,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0010534,"about_ca_topic_score_gemma":0.000519191,"domain_scores_codex":[0.9996767,0.00009963594,0.000009404781,0.00006128461,0.00009108063,0.00006193721],"domain_scores_gemma":[0.998865,0.0005227486,0.0001617645,0.00009206407,0.0002010402,0.0001573971],"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":[0.0001868159,0.00004191162,0.001412543,0.0000840245,0.00002763935,0.0002444151,0.0004142081,0.06154661,0.03503687,0.8944175,0.0007513954,0.005836112],"study_design_scores_gemma":[0.00002375089,0.00006151096,0.001141151,0.00002486296,0.000008921505,0.0001327355,0.0002579363,0.6540226,0.006667919,0.3366398,0.0009818176,0.00003685763],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6288834,0.0004551641,0.3433443,0.0006880971,0.00007629994,0.00003868419,0.00006452701,0.0001585011,0.02629102],"genre_scores_gemma":[0.9870203,0.0001257372,0.007261964,0.0000609659,0.0000393942,0.00003634973,0.00003152137,0.00004434116,0.005379409],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001990817,"threshold_uncertainty_score":0.006659985,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02713659198778782,"score_gpt":0.2616634571053932,"score_spread":0.2345268651176054,"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."}}