{"id":"W2029968496","doi":"10.1007/s10240-013-0058-x","title":"On the inverse spectral problem for the quasi-periodic Schrödinger equation","year":2013,"lang":"fr","type":"preprint","venue":"Publications mathématiques de l IHÉS","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Kappa; Physics; Fourier transform; Inverse; Spectrum (functional analysis); Mathematical physics; Fourier series; Combinatorics; Mathematical analysis; Mathematics; Quantum mechanics; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008214782,0.0007381454,0.0007144494,0.000933396,0.001044849,0.001857524,0.001185668,0.002206831,0.009882776],"category_scores_gemma":[0.003051969,0.0003497406,0.0008916453,0.0005188415,0.002293507,0.002375227,0.001728859,0.001969401,0.001053043],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009034089,"about_ca_system_score_gemma":0.001175224,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003440047,"about_ca_topic_score_gemma":0.001695402,"domain_scores_codex":[0.9996989,0.0001078671,0.00001123731,0.00003709302,0.0000847816,0.00006029883],"domain_scores_gemma":[0.9993563,0.0003295824,0.00007551396,0.00004813404,0.0001019203,0.00008839073],"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":[0.00003588992,0.00002681794,0.0001295442,0.00008387198,0.00001036855,0.0001404032,0.0001204367,0.01495774,0.0009806078,0.978646,0.002057943,0.002810435],"study_design_scores_gemma":[0.00002766354,0.00002701323,0.0001734548,0.0000367147,0.00000670906,0.000111678,0.0001530062,0.2167968,0.0004127392,0.780102,0.002128566,0.0000237095],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3155541,0.002993736,0.4497188,0.01175076,0.001685491,0.0001389579,0.0003776605,0.0003820914,0.2173983],"genre_scores_gemma":[0.8833148,0.002045303,0.04222161,0.001158435,0.0006981063,0.000191733,0.000449952,0.0002921416,0.06962784],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009882776,"threshold_uncertainty_score":0.03306121,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07989746562504366,"score_gpt":0.3254356411549536,"score_spread":0.2455381755299099,"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."}}