title: A continuous version of the selfish parking problem
metadata.name: dc.contributor.author
metadata.value: Ananjevskii, Sergey M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Chen, Alexander P.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-05-30T15:24:23Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-05-30T15:24:23Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2024-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Ananjevskii S.M., Chen A.P. A continuous version of the selfish parking problem. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2024, vol. 11 (69), issue 1, pp. 84–95. https://doi.org/10.21638/spbu01.2024.104 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2024.104
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/45451
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The work is devoted to the study of a new model of random filling of a segment of large
  length with intervals of smaller length. A new formulation of the problem is considered. We
  study a model in which unit intervals are placed on a segment only if the segment being
  filled has a length of at least 2. In this case, the position of the placed interval is subject
  to a uniform distribution law. The paper investigates the behavior of the average number
  of placed intervals depending on the length of the filled segment. An exact expression is
  obtained for the analog of the R´enyi constant.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 11 (69); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: random filling of a segment
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: parking problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: asymptotic behavior of the expectation
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: A continuous version of the selfish parking problem
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 84-95.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/45451/1/84-95.pdf
resources.format: Adobe PDF
resources.size: 295,69 kB