{"id":"W1872125656","doi":"10.5802/aif.2918","title":"Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces","year":2014,"lang":"en","type":"preprint","venue":"Annales de l’institut Fourier","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Eigenvalues and eigenvectors; Multiplicity (mathematics); Mathematics; Bounded function; Pure mathematics; Boundary (topology); Mathematical analysis; Sigma; Physics; Quantum mechanics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0008577054,0.0006528738,0.0008600535,0.0002106181,0.0004804657,0.0003036056,0.0007204473,0.00066422,0.0001197117],"category_scores_gemma":[0.001942117,0.0006295707,0.00059914,0.0001055436,0.0002941301,0.0001111654,0.0004163448,0.0007522078,0.0001936349],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001782888,"about_ca_system_score_gemma":0.0004406627,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001227742,"about_ca_topic_score_gemma":0.0007800866,"domain_scores_codex":[0.9968848,0.0002248115,0.0007632932,0.0008245448,0.0005672008,0.0007353897],"domain_scores_gemma":[0.9966738,0.0008833819,0.0004961954,0.001304468,0.0003542074,0.0002879793],"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":[0.001531366,0.00529769,0.004902156,0.009802252,0.004055154,0.00009646817,0.01120772,0.05508341,0.001986166,0.7259,0.154671,0.02546657],"study_design_scores_gemma":[0.002031606,0.0004668811,0.002218977,0.001391398,0.000913262,0.00001016559,0.0001225335,0.1721756,0.005965427,0.581558,0.231046,0.002100078],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8377898,0.000212249,0.1497023,0.001309725,0.001701529,0.002339475,0.0009522967,0.0004562,0.005536464],"genre_scores_gemma":[0.904269,0.00008540235,0.0877475,0.0005902557,0.002115608,0.0005732278,0.0005378344,0.000185834,0.003895355],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.144342,"threshold_uncertainty_score":0.9996156,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1125804112731118,"score_gpt":0.3773517746794769,"score_spread":0.2647713634063651,"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."}}