{"id":"W7026538850","doi":"","title":"Amenability and Unique Ergodicity of the Automorphism Groups of all Countable Homogeneous Directed Graphs","year":2015,"lang":"en","type":"dissertation","venue":"TSpace (University of Toronto)","topic":"Polymer Science and PVC","field":"Materials Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Hausdorff Research Institute for Mathematics","keywords":"Ergodicity; Automorphism; Countable set; Homogeneous; Automorphism group; Second-countable space; Product (mathematics)","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":[0.0003599224,0.0003036182,0.0003423152,0.001923644,0.001181446,0.001029038,0.0003455206,0.0002481137,0.003795941],"category_scores_gemma":[0.00114745,0.0001645986,0.0007175612,0.0005971432,0.001487702,0.001362921,0.001107316,0.0009483877,0.0004072514],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008392384,"about_ca_system_score_gemma":0.0003607798,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001294964,"about_ca_topic_score_gemma":0.001998033,"domain_scores_codex":[0.9997581,0.00004680295,0.00001363211,0.00006087693,0.00005817682,0.00006254255],"domain_scores_gemma":[0.9989346,0.0004720675,0.0001674043,0.0001128704,0.0001447091,0.0001684028],"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":[0.00001880848,0.00001085736,0.0007583696,0.00002510986,0.000007670412,0.0001011253,0.0005450537,0.001431485,0.003346463,0.9839407,0.0002998985,0.009514495],"study_design_scores_gemma":[0.000006938208,0.00002936199,0.001543142,0.00001320767,0.00001297487,0.0001499842,0.0002009822,0.006492059,0.003711215,0.9812913,0.006534518,0.00001432292],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8267411,0.0004079441,0.1154848,0.0004307485,0.00005981143,0.00004365485,0.0002568725,0.0001746979,0.0564004],"genre_scores_gemma":[0.9754485,0.000390785,0.01115124,0.00005218292,0.00006679665,0.00005310511,0.0002635283,0.00003875483,0.01253516],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003795941,"threshold_uncertainty_score":0.01269871,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01279508628565165,"score_gpt":0.23917433354979,"score_spread":0.2263792472641383,"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."}}