{"id":"W2952646343","doi":"10.48550/arxiv.math-ph/0411069","title":"The Independence on Boundary Conditions for the Thermodynamic Limit of Charged Systems","year":2004,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Limit (mathematics); Independence (probability theory); Thermodynamic limit; Boundary (topology); Statistical physics; Physics; Mathematics; Thermodynamics; Mathematical economics; Mathematical analysis; Statistics","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":[0.001275281,0.0004422615,0.0005532412,0.001266139,0.002118532,0.002728245,0.001129076,0.001186269,0.00283222],"category_scores_gemma":[0.008499401,0.0004341195,0.000613984,0.0003382532,0.003715545,0.003995009,0.002395947,0.001606007,0.0004178618],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008780985,"about_ca_system_score_gemma":0.0006288976,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008076106,"about_ca_topic_score_gemma":0.0005823661,"domain_scores_codex":[0.9994363,0.0002188493,0.00002618715,0.0000662278,0.0001493715,0.0001029906],"domain_scores_gemma":[0.9975594,0.001210193,0.0002473244,0.0001964596,0.0003047458,0.0004817452],"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":[0.00008546203,0.00009570864,0.001155248,0.00008805942,0.00001573049,0.0004342532,0.0003326924,0.01168434,0.006310428,0.9763638,0.0007063466,0.00272805],"study_design_scores_gemma":[0.00004168234,0.00004196473,0.0008169611,0.00006503662,0.00001252091,0.0002356918,0.0002303076,0.1587634,0.003900136,0.8344826,0.001375128,0.00003455772],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8563719,0.001929183,0.08003789,0.001784116,0.0001751406,0.00005475022,0.00009214571,0.000155157,0.05939969],"genre_scores_gemma":[0.9900414,0.0005120272,0.006624348,0.0001333939,0.0000859115,0.00005866885,0.00008280708,0.00008656055,0.002374811],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00283222,"threshold_uncertainty_score":0.009474754,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09551790485215288,"score_gpt":0.3493887993862206,"score_spread":0.2538708945340677,"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."}}