A proof of Oseledec’s multiplicative ergodic theorem

Raghunathan, M. S.·1979·Israel Journal of Mathematics

DOI 10.1007/bf02760464

Open this paper in CoChat — free account

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

Integrity signals

Registry

Crossref · 10.1007/bf02760464

Cites

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Ergodic theory of chaos and strange attractors
Eckmann, J. P., & Ruelle, D. (1985) · Reviews of Modern Physics · doi:10.1103/revmodphys.57.617 · Cited by 4,941
Probability: Theory and Examples.
Prewitt, K., & Durrett, R. (1992) · Journal of the American Statistical Association · doi:10.2307/2290301 · Cited by 3,085
Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
Katok, A. (1980) · Publications Mathématiques de l'IHÉS · doi:10.1007/bf02684777 · Cited by 935
Probability: Theory and Examples
Durrett, R. (2019) · doi:10.1017/9781108591034 · Cited by 857
Characteristic Exponents and Invariant Manifolds in Hilbert Space
Ruelle, D. (1982) · The Annals of Mathematics · doi:10.2307/1971392 · Cited by 337
Numerically stable fast transversal filters for recursive least squares adaptive filtering
Slock, D. T. M., & Kailath, T. (1991) · IEEE Transactions on Signal Processing · doi:10.1109/78.80769 · Cited by 305
An uncertain life: Demography in random environments
Tuljapurkar, S. (1989) · Theoretical Population Biology · doi:10.1016/0040-5809(89)90001-4 · Cited by 291

Authors: Raghunathan, M. S.
Venue: Israel Journal of Mathematics
Publisher: Springer Science and Business Media LLC
Published: 1979-12
Volume: 32
Issue: 4
Pages: 356-362
ISSN: 0021-2172 (ISSN-L)
1565-8511
DOI: 10.1007/bf02760464
OpenAlex: W1978143337
Cited by: 203
References: 0
FWCI: 3.62
Type: journal article
Language: en
Open access: closed

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review