{"id":"W2148286006","doi":"10.1016/j.spa.2016.01.001","title":"Exponential extinction time of the contact process on finite graphs","year":2016,"lang":"en","type":"article","venue":"Stochastic Processes and their Applications","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":56,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"Fundamental Research Funds for the Central Universities; Higher Education Discipline Innovation Project; National Natural Science Foundation of China","keywords":"Mathematics; Bounded function; Combinatorics; Degree distribution; Contact process (mathematics); Exponential function; Degree (music); Uniform boundedness; Vertex (graph theory); Branching process; Discrete mathematics; Graph; Mathematical analysis","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":[0.00273342,0.0008168116,0.00143449,0.002491203,0.001047482,0.002233037,0.002963476,0.002352173,0.007366519],"category_scores_gemma":[0.01656076,0.0006926687,0.00100451,0.001248017,0.004471658,0.004851649,0.002104744,0.003061879,0.0004951051],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002469581,"about_ca_system_score_gemma":0.001155077,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003281197,"about_ca_topic_score_gemma":0.001671095,"domain_scores_codex":[0.999212,0.0002367451,0.00003128534,0.0001777558,0.0001621281,0.0001800163],"domain_scores_gemma":[0.9867269,0.008341099,0.001725137,0.0005908076,0.0009365713,0.00167957],"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":[0.0001472671,0.00008050345,0.00190529,0.0001274331,0.00004429799,0.0003125792,0.0005229976,0.04920744,0.00373422,0.9382772,0.001427748,0.004212923],"study_design_scores_gemma":[0.00006494868,0.00005667697,0.001678795,0.00004373104,0.00004322238,0.0002682436,0.0001701504,0.4785886,0.0009648583,0.5172905,0.0007772921,0.00005299546],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7244236,0.001264351,0.2564762,0.002577266,0.0001528987,0.00007697414,0.0003147149,0.0004563193,0.01425764],"genre_scores_gemma":[0.9878685,0.0005544888,0.004573127,0.0001878023,0.0001475413,0.00006199504,0.0001895484,0.00008431413,0.006332555],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007366519,"threshold_uncertainty_score":0.02464342,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02016108158890382,"score_gpt":0.272382198594231,"score_spread":0.2522211170053272,"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."}}