Perfect simulation of the hard disks model by partial rejection sampling

Heng Guo, Mark Jerrum

Research output: Contribution to journalArticlepeer-review

Abstract

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(logn) rounds, and total time O(n), 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.
Original languageEnglish
Number of pages12
JournalAnnales de l'Institut Henri Poincaré D
Early online date3 Mar 2021
DOIs
Publication statusE-pub ahead of print - 3 Mar 2021

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