{"id":"W2341300105","doi":"10.3934/cpaa.2017113","title":"Magnetic Laplacians of locally exact forms on the Sierpinski Gasket","year":2017,"lang":"en","type":"preprint","venue":"Communications on Pure &amp Applied Analysis","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Sierpinski triangle; Eigenfunction; Laplace operator; Operator (biology); Eigenvalues and eigenvectors; Spectrum (functional analysis); Mathematics; Magnetic field; Schrödinger's cat; Remainder; Sequence (biology); Mathematical analysis; Magnetic flux; Pure mathematics; Mathematical physics; Physics; Fractal; Quantum mechanics","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","open_science"],"consensus_categories":[],"category_scores_codex":[0.00159792,0.0006430321,0.001472651,0.0004450754,0.0006652552,0.0002154288,0.007477876,0.0004530167,0.0004828501],"category_scores_gemma":[0.001092138,0.0004528756,0.001119011,0.0007279076,0.000924068,0.00003959282,0.001921366,0.001843894,0.0002962544],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001901128,"about_ca_system_score_gemma":0.0001199325,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001654045,"about_ca_topic_score_gemma":0.0002158054,"domain_scores_codex":[0.9966719,0.0003618292,0.001115529,0.0006108315,0.000819677,0.0004203017],"domain_scores_gemma":[0.9751077,0.004505533,0.001484374,0.01853841,0.0002367876,0.0001272059],"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":[0.00004099874,0.00107694,0.00001209552,0.0001800524,0.001818088,4.388201e-7,0.0007323407,0.0006896866,0.00009377541,0.9924555,0.001111051,0.001788969],"study_design_scores_gemma":[0.000182542,0.00005445292,0.0000946199,0.0002552628,0.003018737,5.308536e-7,0.0002315284,0.001897963,0.000306174,0.9921798,0.001326841,0.0004515107],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.05082707,0.0004831523,0.079243,0.01139637,0.0001298349,0.004073945,0.0007156941,0.0005364919,0.8525944],"genre_scores_gemma":[0.9816238,0.000431474,0.01576863,0.0002424627,0.00006012058,0.000582691,0.000271223,0.0001005665,0.0009190679],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9307967,"threshold_uncertainty_score":0.9997923,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0838621047783494,"score_gpt":0.353778312910489,"score_spread":0.2699162081321396,"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."}}