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

  1. S.R. Athreya, M.T. Barlow, R.F. Bass, and E.A. Perkins, Degenerate stochastic differential equations and super-Markov chains. Prob. Th. Rel. Fields 123 (2002), 484--520. MR1921011 (2003g:60096)
  2. R.F. Bass, Probabilistic Techniques in Analysis, Springer, Berlin 1995. MR1329542 (96e:60001)
  3. R.F. Bass, Diffusions and Elliptic Operators, Springer, Berlin, 1998. MR1483890 (99h:60136)
  4. R.F. Bass and E.A. Perkins, Degenerate stochastic differential equations with Hölder continuous coefficients and super-Markov chains. Trans. Amer. Math. Soc. 355 (2003) 373--405. MR1928092 (2003m:60144)
  5. D.A. Dawson and K. Fleischmann, Catalytic and mutually catalytic branching. In: Infinite Dimensional Stochastic analysis, Ned. Acak. Wet., Vol. 52, R. Neth. Acad. Arts Sci., Amsterdam, 2000, pp. 145--170. MR1831416 (2002f:60164)
  6. D.A. Dawson, K. Fleischmann, and J. Xiong, Strong uniqueness for cyclically catalytic symbiotic branching diffusions. Statist. Probab. Lett. 73 (2005) 251--257. MR2179284 (2006h:60097)
  7. D.A. Dawson, A. Greven, F. den Hollander, Rongfeng Sun, and J.M. Swart, The renormalization transformation for two-type branching models, to appear Ann. de l'Inst. H. Poincaré, Prob. et Stat.
  8. D.A. Dawson and E.A. Perkins, On the uniqueness problem for catalytic branching networks and other singular diffusions. Illinois J. Math. 50 (2006) 323--383. MR2247832 (2007i:60099)
  9. D.A. Dawson and E. A. Perkins, Long-time behaviour and coexistence in a mutually catalytic branching model. Ann. Probab. 26 (1998) 1088--1138. MR1634416 (99f:60167)
  10. M. Eigen and P. Schuster, The Hypercycle: a Principle of Natural Self-organization, Springer, Berlin, 1979.
  11. C. Fefferman, Recent progress in classical Fourier analysis. Proceedings of the International Congress of Mathematicians, Vol. 1, pp. 95--118. Montréal, Canadian Math. Congress, 1975. MR0510853 (58#23308)
  12. K. Fleischmann and J. Xiong, A cyclically catalytic super-Brownian motion. Ann. Probab. 29 (2001) 820--861. MR1849179 (2002h:60224)
  13. S. Kliem, Degenerate stochastic differential equations for catalytic branching networks, to appear in Ann. de l'Inst. H. Poincaré, Prob. et Stat.
  14. L. Mytnik, Uniqueness for a mutually catalytic branching model. Prob. Th. Rel. Fields 112 (1998) 245-253. MR1653845 (99i:60125)
  15. E.A. Perkins, Dawson-Watanabe Superprocesses and Measure-Valued Diffusions, In: Lectures on Probability and Statistics, Ecole d''Eté de Probabilités de Saint-Flour XXIX (1999), LNM vol. 1781, Springer-Verlag, Berlin, 2002, pp. 125--324. MR1915445 (2003k:60104)
  16. D. Revuz and M. Yor, Continuous Martingales and Brownian Motion, Berlin, Springer-Verlag, 1991. MR1083357 (92d:60053)
  17. D.W. Stroock and S.R.S. Varadhan, Multidimensional Diffusion Processes, Springer-Verlag, Berlin 1979. MR0532498 (81f:60108)
  18. A. Torchinsky, Real-variable methods in harmonic analysis. Academic Press, Orlando, FL, 1986. MR0869816 (88e:42001)


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