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Random perturbations of dynamical systems
Abstract
1.Random Perturbations.- 2.Small Random Perturbations on a Finite Time Interval.- 3.Action Functional.- 4.Gaussian Perturbations of Dynamical Systems. Neighborhood of an Equilibrium Point.- 5.Perturbations Leading to Markov Processes.- 6.Markov Perturbations on Large Time Intervals.- 7.The Averaging Principle. Fluctuations in Dynamical Systems with Averaging.- 8.Random Perturbations of Hamiltonian Systems.- 9. The Multidimensional Case.- 10.Stability Under Random Perturbations.- 11.Sharpenings and Generalizations.- References.- Index.
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Citations
Cited by
Young, H. P. (1993) · Econometrica · doi:10.2307/2951778 · Cited by 2,399
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Calvó-Armengol, A., & Jackson, M. O. (2004) · American Economic Review · doi:10.1257/0002828041464542 · Cited by 1,051
Young, H. P. (2015) · Annual Review of Economics · doi:10.1146/annurev-economics-080614-115322 · Cited by 497
Extracting macroscopic dynamics: model problems and algorithms
Givon, D., Kupferman, R., & Stuart, A. (2004) · Nonlinearity · doi:10.1088/0951-7715/17/6/r01 · Cited by 363
Imitation processes with small mutations
Fudenberg, D., & Imhof, L. A. (2006) · Journal of Economic Theory · doi:10.1016/j.jet.2005.04.006 · Cited by 335
Metadata
- Venue
- Translations of Mathematical Monographs
- Publisher
- American Mathematical Society
- Published
- 1997-04-02
- Pages
- 53-94
- ISSN
- 0065-9282 (ISSN-L)
- 2472-5137
- OpenAlex
- W2021611402
- Cited by
- 2,584
- References
- 0
- FWCI
- 262.01
- Type
- book chapter
- Language
- en
- Open access
- closed
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- Random perturbations of dynamical systems. (1997). Translations of Mathematical Monographs. https://doi.org/10.1090/mmono/161/03
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