{"id":"W2929483197","doi":"10.1137/19m1246146","title":"Drift of Spectrally Stable Shifted States on Star Graphs","year":2019,"lang":"en","type":"preprint","venue":"SIAM Journal on Applied Dynamical Systems","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Vertex (graph theory); Degenerate energy levels; Degeneracy (biology); Star (game theory); Physics; Instability; Saddle; Nonlinear system; Saddle point; Graph; Mathematics; Mathematical analysis; Quantum mechanics; Combinatorics; Geometry","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":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.001384793,0.001016336,0.002501394,0.0004118908,0.0001363637,0.0002437626,0.00119336,0.0006883546,0.00008579436],"category_scores_gemma":[0.0001945616,0.000804939,0.0006436731,0.0003130123,0.0001814632,0.00009465917,0.0004227165,0.003703918,0.0002018473],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006284642,"about_ca_system_score_gemma":0.0002392154,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001152406,"about_ca_topic_score_gemma":0.000002896065,"domain_scores_codex":[0.9933736,0.0002602358,0.002475158,0.0009062571,0.0019981,0.0009866647],"domain_scores_gemma":[0.9933679,0.001802763,0.00260654,0.00151348,0.0003047925,0.0004045595],"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":[0.0003958676,0.00116938,0.000008420926,0.003725813,0.0005479906,0.00002948146,0.0002866457,0.05463188,0.002069388,0.9359369,0.001084835,0.0001134454],"study_design_scores_gemma":[0.001158708,0.0004818896,0.00001865027,0.002566449,0.0001506735,0.00002169554,0.0002294507,0.01982181,0.0004528962,0.9740729,0.0002269172,0.0007979123],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6662256,0.0003731226,0.2487835,0.0004164228,0.004364092,0.009268085,0.0009355454,0.0007298455,0.06890374],"genre_scores_gemma":[0.9812182,0.00009866028,0.01715953,0.00009177477,0.000314738,0.0001251856,0.00008322149,0.0003077296,0.0006009219],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3149926,"threshold_uncertainty_score":0.9994401,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02469794464264924,"score_gpt":0.2880509883740376,"score_spread":0.2633530437313883,"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."}}