{"id":"W2951448135","doi":"10.48550/arxiv.1204.2329","title":"Ulam's method for Lasota-Yorke maps with holes","year":2012,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Banff International Research Station for Mathematical Innovation and Discovery; University of New South Wales; University of Victoria","keywords":"Mathematics; Eigenvalues and eigenvectors; Invariant (physics); Conformal map; Invariant measure; Phase space; Dynamical systems theory; Pure mathematics; Mathematical analysis; Mathematical physics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001671839,0.0006070605,0.0006855374,0.001670696,0.0007974933,0.001060118,0.00134359,0.001075768,0.003745255],"category_scores_gemma":[0.004835854,0.000350785,0.0008252162,0.0007635851,0.001468898,0.001832708,0.002409175,0.001578581,0.0008216109],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009065727,"about_ca_system_score_gemma":0.0009893662,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002518267,"about_ca_topic_score_gemma":0.002174227,"domain_scores_codex":[0.9996045,0.0001710321,0.00002055154,0.00004086659,0.0001212192,0.00004192705],"domain_scores_gemma":[0.9990788,0.000462676,0.00007531982,0.0001503836,0.0001638502,0.00006899235],"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":[0.0000512349,0.0000293985,0.0004590261,0.0001022309,0.00002480513,0.0001450905,0.0002589121,0.08897973,0.003452238,0.8671643,0.001988502,0.0373446],"study_design_scores_gemma":[0.00001368285,0.00001711487,0.00009902199,0.00002002079,0.000005804109,0.00005144022,0.00003184394,0.83158,0.0009071085,0.1610009,0.006255631,0.0000174986],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.009262607,0.000257145,0.9851038,0.0001492875,0.00008034923,0.00008482637,0.00005408692,0.0001940991,0.004813771],"genre_scores_gemma":[0.2387053,0.0005608684,0.7395733,0.0002121316,0.0001109653,0.0007112467,0.0001251885,0.0004934293,0.01950757],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003745255,"threshold_uncertainty_score":0.01252913,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1454620969207927,"score_gpt":0.2518484880871782,"score_spread":0.1063863911663855,"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."}}