{"id":"W2186014947","doi":"10.1007/s00023-017-0620-z","title":"Pure Point Diffraction and Poisson Summation","year":2017,"lang":"en","type":"article","venue":"Annales Henri Poincaré","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":false,"ca_institutions":"MacEwan University; Trent University","funders":"","keywords":"Poisson summation formula; Diffraction; Poisson distribution; Fourier transform; Fourier analysis; Abelian group","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":[0.001663007,0.001235913,0.001695267,0.003211562,0.002809565,0.003996991,0.001692079,0.002941786,0.009971441],"category_scores_gemma":[0.004573545,0.0007155035,0.001179489,0.002362218,0.005349468,0.00773197,0.00350843,0.00448244,0.001126507],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002203353,"about_ca_system_score_gemma":0.0008424244,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001157415,"about_ca_topic_score_gemma":0.0009735405,"domain_scores_codex":[0.9989208,0.0003647128,0.00004941697,0.0001501406,0.0003727338,0.0001422721],"domain_scores_gemma":[0.9985623,0.0006218716,0.0001659078,0.0002197127,0.0002519011,0.0001783162],"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":[0.000006920892,0.000005543064,0.00005074108,0.00001239641,0.000003016104,0.00003125847,0.00007662012,0.0001784842,0.0001599935,0.9977142,0.0006496507,0.001111104],"study_design_scores_gemma":[0.00000413489,0.000003080383,0.00006375404,0.000005284457,0.000002338717,0.00007784167,0.00002966584,0.001179113,0.00008314549,0.9976623,0.0008841212,0.000005096499],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2819317,0.01744582,0.2471749,0.01986775,0.003338081,0.00007307655,0.0004223534,0.0006333162,0.429113],"genre_scores_gemma":[0.8941449,0.004776799,0.02528878,0.00204171,0.003123365,0.0001048111,0.0002564352,0.0002624441,0.07000068],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009971441,"threshold_uncertainty_score":0.0333578,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06302597612948016,"score_gpt":0.3281608818477509,"score_spread":0.2651349057182707,"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."}}