2026-07-22T07:05:26Z https://drops.dagstuhl.de/oai

oai:drops-oai.dagstuhl.de:9073 2024-03-06T10:43:18Z ddc:004 open_access

Perfect Simulation of the Hard Disks Model by Partial Rejection Sampling Guo, Heng Jerrum, Mark Hard disks model Sampling Markov chains We present a perfect simulation of the hard disks model via the partial rejection sampling method. Provided the density of disks is not too high, the method produces exact samples in O(log n) rounds, where n is the expected number of disks. The method extends easily to the hard spheres model in d>2 dimensions. In order to apply the partial rejection method to this continuous setting, we provide an alternative perspective of its correctness and run-time analysis that is valid for general state spaces. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Heng Guo and Mark Jerrum 2018 Is Part Of LIPIcs, Volume 107, 45th International Colloquium on Automata, Languages, and Programming (ICALP 2018) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/LIPIcs.ICALP.2018.69 urn:nbn:de:0030-drops-90739 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2018.69 eng https://creativecommons.org/licenses/by/3.0/legalcode