The PDF file you selected should load here if your Web browser has a PDF reader plug-in installed (for example, a recent version of Adobe Acrobat Reader).

Alternatively, you can also download the PDF file directly to your computer, from where it can be opened using a PDF reader. To download the PDF, click the Download link below.

If you would like more information about how to print, save, and work with PDFs, Highwire Press provides a helpful Frequently Asked Questions about PDFs.

Download this PDF file Fullscreen Fullscreen Off

References

  • Benaïm, Michel. A dynamical system approach to stochastic approximations. SIAM J. Control Optim. 34 (1996), no. 2, 437--472. MR1377706
  • Benaïm, Michel. Dynamics of stochastic approximation algorithms. Séminaire de Probabilités, XXXIII, 1--68, Lecture Notes in Math., 1709, Springer, Berlin, 1999. MR1767993
  • Bena"im, M., Benjamini, I., Chen, J., Lima, Y., A generalized pólya's urn with graph based interactions, 2013, Random structures and algorithms,
  • Benaïm, Michel; Hirsch, Morris W. Asymptotic pseudotrajectories and chain recurrent flows, with applications. J. Dynam. Differential Equations 8 (1996), no. 1, 141--176. MR1388167
  • Duflo, Marie. Algorithmes stochastiques. (French) [Stochastic algorithms] Mathématiques & Applications (Berlin) [Mathematics & Applications], 23. Springer-Verlag, Berlin, 1996. xiv+319 pp. ISBN: 3-540-60699-8 MR1612815
  • Durrett, Rick. Probability: theory and examples. Fourth edition. Cambridge Series in Statistical and Probabilistic Mathematics. Cambridge University Press, Cambridge, 2010. x+428 pp. ISBN: 978-0-521-76539-8 MR2722836
  • Hirsch, M. W.; Pugh, C. C.; Shub, M. Invariant manifolds. Lecture Notes in Mathematics, Vol. 583. Springer-Verlag, Berlin-New York, 1977. ii+149 pp. MR0501173
  • Lima, Y., Graph-based Pólya's urn: completion of the linear case, 2014, arXiv preprint arXiv:1409.7826
  • Schreiber, Sebastian J. Expansion rates and Lyapunov exponents. Discrete Contin. Dynam. Systems 3 (1997), no. 3, 433--438. MR1444204
Bookmark and Share


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.