{"id":"W1987783833","doi":"10.3934/dcds.2005.12.723","title":"Invariant measures for bipermutative cellular automata","year":2005,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Cellular Automata and Applications","field":"Computer Science","cited_by":21,"is_retracted":false,"has_abstract":true,"ca_institutions":"Trent University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Invariant (physics); Bijection; Physics; Mathematical physics; Mathematics","routes":{"ca_aff":true,"ca_fund":true,"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":[],"consensus_categories":[],"category_scores_codex":[0.000296896,0.0001778545,0.0002889859,0.00005428881,0.0002066297,0.0003625984,0.0005018801,0.00008717048,0.000001685283],"category_scores_gemma":[0.00002808366,0.000146021,0.00009019217,0.0001500725,0.00006399772,0.0002740734,0.0001371558,0.00008503027,0.00001681831],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004449331,"about_ca_system_score_gemma":0.00004059251,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009963318,"about_ca_topic_score_gemma":0.00002276158,"domain_scores_codex":[0.9986026,0.00006994685,0.0003285821,0.0004669572,0.0002130404,0.0003188673],"domain_scores_gemma":[0.9990876,0.0001190932,0.0001046763,0.0004600683,0.0000772263,0.0001513615],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001559939,0.0001416022,0.0001531527,0.00009166877,0.0001100435,0.00001248653,0.001827483,0.0002188496,0.02978021,0.886791,0.0009023229,0.07995556],"study_design_scores_gemma":[0.000590254,0.00007231178,0.0002274123,0.00003427184,0.00002390225,0.00002879941,0.0001690922,0.9597806,0.0006334815,0.001045584,0.03711548,0.0002787486],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03694679,0.000807207,0.9583225,0.001493633,0.0001276849,0.0007298872,0.00005334755,0.0003016377,0.001217316],"genre_scores_gemma":[0.9928103,0.00001236998,0.00574282,0.00008537382,0.000128266,0.0002482368,0.000046422,0.00001524277,0.0009109773],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9595618,"threshold_uncertainty_score":0.5954565,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.009629854834946269,"score_gpt":0.233971299432128,"score_spread":0.2243414445971817,"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."}}