{"id":"W2972961174","doi":"10.2140/apde.2020.13.1955","title":"Refined mass-critical Strichartz estimates forSchrödinger operators","year":2020,"lang":"en","type":"article","venue":"Analysis & PDE","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Bilinear interpolation; Fourier transform; Homogeneous space; Invariant (physics); Mathematical analysis; Dimension (graph theory); Inverse; Spacetime; Harmonic oscillator; Pure mathematics; Mathematical physics; Geometry; Quantum mechanics; Physics","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"],"consensus_categories":[],"category_scores_codex":[0.0002230331,0.0002949917,0.0007897983,0.000133642,0.0001333479,0.00009399274,0.0003424229,0.0000957632,0.0005858249],"category_scores_gemma":[0.003048513,0.0002524839,0.0003996903,0.001608609,0.0001001811,0.0002903683,0.0001208588,0.0002599883,0.0002588919],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004354383,"about_ca_system_score_gemma":0.0000287834,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006256567,"about_ca_topic_score_gemma":0.000005561416,"domain_scores_codex":[0.997953,0.0000490742,0.0005981641,0.0004981657,0.0004477313,0.000453856],"domain_scores_gemma":[0.9976653,0.001205386,0.0001234424,0.0005030934,0.0001716112,0.0003311332],"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":[0.00002992579,0.0002882085,0.001267186,0.0003314813,0.001964289,0.00004189846,0.0006908718,0.0009756325,0.01676062,0.9683603,0.008746595,0.0005429905],"study_design_scores_gemma":[0.0003011647,0.00008589584,0.00003822457,0.00002516285,0.002996272,0.00000106168,0.0001436723,0.0533851,0.01190099,0.9298406,0.0008200866,0.0004618162],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03380156,0.0001329766,0.9524144,0.006353515,0.00004547692,0.0003094307,0.00004256183,0.0005269246,0.006373148],"genre_scores_gemma":[0.7688895,0.000006410615,0.229882,0.0008562676,0.0001150904,0.00003653087,0.00002731692,0.00005449878,0.0001324488],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7350879,"threshold_uncertainty_score":0.9999927,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07034010722598606,"score_gpt":0.364868701337839,"score_spread":0.2945285941118529,"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."}}