Stable CLT for deterministic systems

Zemer Kosloff; Dalibor Volný

doi:10.1007/s11856-025-2844-9

Stable CLT for deterministic systems

Zemer Kosloff^*
, Dalibor Volný

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We show that for every ergodic and aperiodic probability preserving transformation and α ∈ (0, 2) there exists a function whose associated time series is in the standard domain of attraction of a non-degenerate symmetric α-stable distribution.

Original language	English
Pages (from-to)	561-579
Number of pages	19
Journal	Israel Journal of Mathematics
Volume	273
Issue number	2
DOIs	https://doi.org/10.1007/s11856-025-2844-9
State	Published - Jul 2026

Bibliographical note

Publisher Copyright:
© The Author(s) 2025.

Access to Document

10.1007/s11856-025-2844-9

Cite this

@article{3a5b48b671a8424ab2f36e2d6fd1a50d,

title = "Stable CLT for deterministic systems",

abstract = "We show that for every ergodic and aperiodic probability preserving transformation and α ∈ (0, 2) there exists a function whose associated time series is in the standard domain of attraction of a non-degenerate symmetric α-stable distribution.",

author = "Zemer Kosloff and Dalibor Voln{\'y}",

note = "Publisher Copyright: {\textcopyright} The Author(s) 2025.",

year = "2026",

month = jul,

doi = "10.1007/s11856-025-2844-9",

language = "אנגלית",

volume = "273",

pages = "561--579",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - Stable CLT for deterministic systems

AU - Kosloff, Zemer

AU - Volný, Dalibor

N1 - Publisher Copyright: © The Author(s) 2025.

PY - 2026/7

Y1 - 2026/7

N2 - We show that for every ergodic and aperiodic probability preserving transformation and α ∈ (0, 2) there exists a function whose associated time series is in the standard domain of attraction of a non-degenerate symmetric α-stable distribution.

AB - We show that for every ergodic and aperiodic probability preserving transformation and α ∈ (0, 2) there exists a function whose associated time series is in the standard domain of attraction of a non-degenerate symmetric α-stable distribution.

UR - https://www.scopus.com/pages/publications/105022621257

U2 - 10.1007/s11856-025-2844-9

DO - 10.1007/s11856-025-2844-9

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:105022621257

SN - 0021-2172

VL - 273

SP - 561

EP - 579

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 2

ER -

Stable CLT for deterministic systems

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this