The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Characteristic Exponents and Invariant Manifolds in Hilbert Space
Abstract
The multiplicative ergodic theorem and the construction almost everywhere of stable and unstable manifolds (Pesin theory) are extended to differentiable dynamical systems on Hilbert manifolds under some compactness assumptions. The results apply to partial differential equations of evolution and also to non-invertible maps of compact manifolds.
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Citations
Cites
Furstenberg, H., & Kesten, H. (1960) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177705909 · Cited by 1,047
Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
Katok, A. (1980) · Publications Mathématiques de l'IHÉS · doi:10.1007/bf02684777 · Cited by 935
Ergodic theory of differentiable dynamical systems
Ruelle, D. (1979) · Publications Mathématiques de l'IHÉS · doi:10.1007/bf02684768 · Cited by 663
Self-citationThe Ergodic Theory of Subadditive Stochastic Processes
Kingman, J. F. C. (1968) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1968.tb00749.x · Cited by 442
PARTIALLY HYPERBOLIC DYNAMICAL SYSTEMS
Brin, M. I., & Pesin, J. B. (1974) · Mathematics of the USSR-Izvestiya · doi:10.1070/im1974v008n01abeh002101 · Cited by 295
A proof of Oseledec’s multiplicative ergodic theorem
Raghunathan, M. S. (1979) · Israel Journal of Mathematics · doi:10.1007/bf02760464 · Cited by 203
Cited by
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
Self-citationErgodic theory of chaos and strange attractors
Eckmann, J.-P., & Ruelle, D. (1985) · The Theory of Chaotic Attractors · doi:10.1007/978-0-387-21830-4_17 · Cited by 293
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Metadata
- Authors
- Ruelle, D.
- Venue
- The Annals of Mathematics
- Publisher
- JSTOR
- Published
- 1982-03
- Volume
- 115
- Issue
- 2
- Pages
- 243
- ISSN
- 0003-486X (ISSN-L)
- OpenAlex
- W2047962726
- Cited by
- 337
- References
- 6
- FWCI
- 5.68
- Type
- journal article
- Language
- en
- Open access
- closed
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Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
