title: Closing lemmas for interval translation maps
metadata.name: dc.contributor.author
metadata.value: Krivovicheva, Anna D.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-05-30T15:29:55Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-05-30T15:29:55Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2024-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Krivovicheva A.D. Closing lemmas for interval translation maps. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2024, vol. 11 (69), issue 1, pp. 108– 114. https://doi.org/10.21638/spbu01.2024.106 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2024.106
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/45453
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: A interval translation mapping (or a circle translation mapping) is studied. Such maps can
  be regarded as interval exchange maps with overlaps. It is known that for any mapping
  of that type admits a Borel probability invariant non-atomic measure. This measure can
  be constructed as a weak limit of invariant measures of maps with periodic parameters.
  Those measures, are just normalized Lebesgue ones on a family of sub-sectors. For such
  limit measures, in the case of a shift of the arcs of the circle, it is shown that any point of
  their supports can be made periodic by arbitrarily small change of the parameters of the
  system without changing the number of segments. For any invariant measure, it is deduced
  from Poincar´es Recurrence Theorem shows every point can be made periodic by a small
  change in the parameters of the system, with the number of intervals increasing by two at
  most.
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: interval translation maps
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: invariant measures
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Pugh lemma
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Poincaré recurrence theorem
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Closing lemmas for interval translation maps
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 108-114.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/45453/1/108-114.pdf
resources.format: Adobe PDF
resources.size: 270,15 kB