Skip to content
DraconiticResearch
Search Sources API
201,683 studies31 sourcesUpdated 24 min ago
PreprintarXiv licencearXiv

Quantitative orbit equivalence for rank-one systems

  • Corentin Correia
  • Spyridon Petrakos
Open at sourcePDFDOICite

Abstract

We prove that any two rank-one systems are sub-L1 orbit equivalent, fully clarifying quantitative orbit equivalence for a generic class of transformations. As a corollary, we establish unconditional optimality of Belinskaya's theorem.

Related

  1. Sharp iterated-Logarithmic thresholds for quantitative measure and orbit equivalence between integer lattices
    Changhua Jiao
    arXivPreprintarXiv licenceFull textDynamical systemsarXiv
  2. The Complexity of Conjugacy, Orbit Equivalence, and von Neumann Equivalence of Actions of Nonamenable Groups
    Eusebio Gardella, Martino Lupini
    Memoirs of the American Mathematical SocietyPeer-reviewedLicence not statedFull text6 citedMathematical physicsOpenAlex
  3. Linear Equivalence of Full Weight Spectrum Cyclic Orbit Codes
    Minjia Shi, Ferruh Ozbudak
    arXivPreprintCC0Full textGeneral mathematicsarXiv
  4. Entropy and complexity in a strong orbit equivalence class via pseudo-Toeplitz subshifts
    Paulina Cecchi-Bernales, Sebastián Donoso
    arXivPreprintarXiv licenceFull textDynamical systemsarXiv
  5. On free minimal constant speedups violating continuous orbit equivalence in p-adic ℤd-odometers of adding type
    Changhua Jiao
    arXivPreprintarXiv licenceFull textDynamical systemsarXiv

Cite

BibTeXRIS
BibTeX
@misc{correia2026quantitative,
  title = {{Quantitative orbit equivalence for rank-one systems}},
  author = {Corentin Correia and Spyridon Petrakos},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.24820},
  eprint = {2609.24820},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.24820},
}
RIS
TY  - UNPB
TI  - Quantitative orbit equivalence for rank-one systems
AU  - Corentin Correia
AU  - Spyridon Petrakos
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2609.24820
UR  - https://arxiv.org/abs/2609.24820
AB  - We prove that any two rank-one systems are sub-L^1 orbit equivalent, fully clarifying quantitative orbit equivalence for a generic class of transformations. As a corollary, we establish unconditional optimality of Belinskaya's theorem.
ER  -