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PreprintCC BY-NC-ND 4.0HAL

STRONG INVARIANCE PRINCIPLES IN DETERMINISTIC SYSTEMS

  • Zemer Kosloff
  • Dalibor Volny
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Abstract

We show that in every aperiodic, probability preserving dynamical system there is a function whose associated time series satisfies the almost sure invariance principle with rate asymptotically smaller then √ n and the almost sure weak invariance principle of Brosamler and Schatte.

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Cite

BibTeXRIS
BibTeX
@misc{kosloff2026strong,
  title = {{STRONG INVARIANCE PRINCIPLES IN DETERMINISTIC SYSTEMS}},
  author = {Zemer Kosloff and Dalibor Volny},
  howpublished = {HAL},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.22073},
  eprint = {2610.22073},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05804579v1},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - STRONG INVARIANCE PRINCIPLES IN DETERMINISTIC SYSTEMS
AU  - Zemer Kosloff
AU  - Dalibor Volny
PY  - 2026
DA  - 2026/10/15
PB  - HAL
DO  - 10.48550/arxiv.2610.22073
UR  - https://hal.science/hal-05804579v1
AB  - We show that in every aperiodic, probability preserving dynamical system there is a function whose associated time series satisfies the almost sure invariance principle with rate asymptotically smaller then √ n and the almost sure weak invariance principle of Brosamler and Schatte.
ER  -