{"id":"W6987267392","doi":"","title":"Spectral Comparison Theorems for the Klein-Gordon equation in d&gt;=1 dimensions","year":2019,"lang":"en","type":"dissertation","venue":"Spectrum Research Repository (Concordia University)","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Monotone polygon; Coupling (piping); Scalar (mathematics); Dimension (graph theory); Ground state; Limit (mathematics); Graph; Spectral gap","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":[0.002205732,0.0005710901,0.0009988545,0.001019872,0.0008690776,0.0002180823,0.001594763,0.0005622893,0.0001064703],"category_scores_gemma":[0.001042239,0.0004951195,0.0005536824,0.001502567,0.0004014042,0.0003067584,0.0001813726,0.002162591,0.0001138777],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001383026,"about_ca_system_score_gemma":0.0007494082,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001345694,"about_ca_topic_score_gemma":0.007336357,"domain_scores_codex":[0.9947255,0.0009821429,0.000763398,0.0009660714,0.001313395,0.001249454],"domain_scores_gemma":[0.9879727,0.009475468,0.0005048903,0.001452438,0.0003820447,0.0002125071],"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":[0.00113379,0.0004762795,0.001121983,0.0005846272,0.0002695381,0.00006875926,0.001726955,0.0001127627,0.005249305,0.9873863,0.001574677,0.0002949554],"study_design_scores_gemma":[0.001675837,0.0007488918,0.004512424,0.0006491547,0.0003631738,0.00000906378,0.01151469,0.008525449,0.03093866,0.9361227,0.003993914,0.0009460726],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8357915,0.0002367005,0.00229943,0.0004755683,0.001846805,0.004868456,0.00003153749,0.0002052128,0.1542448],"genre_scores_gemma":[0.9587474,0.00008903775,0.0003216435,0.000007406895,0.0005054798,0.00004655515,0.000115345,0.0001524891,0.04001458],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.122956,"threshold_uncertainty_score":0.99975,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08569395486765298,"score_gpt":0.3586382478961452,"score_spread":0.2729442930284922,"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."}}