DOI

We prove that the so-called uniadic graph and its adic automorphism are Borel universal, i.e., every aperiodic Borel automorphism is isomorphic to the restriction of this automorphism to a subset invariant under the adic transformation, the isomorphism being defined on a universal (with respect to the measure) set. We develop the concept of basic filtrations and combinatorial definiteness of automorphisms suggested in our previous paper.

Язык оригиналаанглийский
Страницы (с-по)515-524
Число страниц10
ЖурналJournal of Mathematical Sciences (United States)
Том240
Номер выпуска5
DOI
СостояниеОпубликовано - 7 авг 2019

    Предметные области Scopus

  • Теория вероятности и статистика
  • Математика (все)
  • Прикладная математика

ID: 88659554