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. M.T. Barlow and E.A. Perkins. On the filtration of historical Brownian motion. Ann. Probab., 22:1273-1294, 1994. Math. Review 96g:60058
  2. J.T. Cox and D. Griffeath. Diffusive clustering in the two dimensional voter model. Ann. Probab., 14:347-370, 1986. Math. Review 91d:60250
  3. J.T. Cox and A. Klenke. Recurrence and ergodicity of interacting particle systems. Probab. Theory Related Fields, 116(2):239-255, 2000. Math. Review 2001j:60181
  4. J.T. Cox, A. Klenke, and E.A. Perkins. Convergence to equilibrium and linear systems duality. In Luis G. Gorostiza and B. Gail Ivanoff, editors, Stochastic Models, volume 26 of CMS Conference Proceedings, pages 41-66. Amer. Math. Soc., Providence, 2000. Math. Review 2001h:60175
  5. D.A. Dawson, A.M. Etheridge, K. Fleischmann, L. Mytnik, E.A. Perkins, and J. Xiong. Mutually catalytic branching in the plane: Finite measure states. WIAS Berlin, Preprint No. 615, 2000, Ann. Probab., to appear 2002. Math Review article not yet available.
  6. D.A. Dawson and K. Fleischmann. A continuous super-Brownian motion in a super-Brownian medium. Journ. Theoret. Probab., 10(1):213-276, 1997. Math. Review 98a:60062
  7. D.A. Dawson and K. Fleischmann. Longtime behavior of a branching process controlled by branching catalysts. Stoch. Process. Appl., 71(2):241-257, 1997. Math. Review 99c:60187
  8. D.A. Dawson and K. Fleischmann. Catalytic and mutually catalytic super-Brownian motions. In Ascona 1999 Conference, volume 52 of Progress in Probability, pages 89-110, Birkh‰user Verlag, 2002. Math Review article not yet available.
  9. D.A. Dawson, K. Fleischmann, L. Mytnik, E.A. Perkins, and J. Xiong. Mutually catalytic branching in the plane: Uniqueness. WIAS Berlin, Preprint No. 641, Ann. Inst. Henri PoincarÈ Probab. Statist. (in print), 2002. Math Review article not yet available.
  10. D.A. Dawson and E.A. Perkins. Long-time behavior and coexistence in a mutually catalytic branching model. Ann. Probab., 26(3):1088-1138, 1998. Math. Review 99f:60167
  11. J.-F. Delmas and K. Fleischmann. On the hot spots of a catalytic super-Brownian motion. Probab. Theory Relat. Fields, 121(3):389-421, 2001. Math. Review 911 867 428
  12. A.M. Etheridge and K. Fleischmann. Persistence of a two-dimensional super-Brownian motion in a catalytic medium. Probab. Theory Relat. Fields, 110(1):1-12, 1998. Math. Review 98k:60149
  13. S.N. Ethier and T.G. Kurtz. Markov Processes: Characterization and Convergence. Wiley, New York, 1986. Math. Review 88a:60130
  14. S.N. Evans and E.A. Perkins. Measure-valued branching diffusions with singular interactions. Canad. J. Math., 46(1):120-168, 1994. Math. Review 94J:60099
  15. K. Fleischmann and A. Greven. Diffusive clustering in an infinite system of hierarchically interacting diffusions. Probab. Theory Relat. Fields, 98:517-566, 1994. Math. Review 95j:60163
  16. K. Fleischmann and A. Greven. Time-space analysis of the cluster-formation in interacting diffusions. Electronic J. Probab., 1(6):1-46, 1996. Math. Review 97e:60151
  17. K. Fleischmann and A. Klenke. Smooth density field of catalytic super-Brownian motion. Ann. Appl. Probab., 9(2):298-318, 1999. Math. Review 2000k:60168
  18. K. Fleischmann and A. Klenke. The biodiversity of catalytic super-Brownian motion. Ann. Appl. Probab., 10(4):1121-1136, 2000. Math. Review 2002e:60079
  19. K. Fleischmann, A. Klenke and J. Xiong. Mass-time-space scaling of a super-Brownian catalyst reactant pair. Preprint, University Koeln, Math. Instit., in preparation. Math Review article not yet available.
  20. P.-A. Meyer. Probability and Potentials. Blaisdell Publishing Company, Toronto, 1966. Math. Review 34 #5119
  21. I. Mitoma. An $infty$-dimensional inhomogeneous Langevin equation. J. Functional Analysis, 61:342-359, 1985. Math. Review 87i:60066
  22. L. Mytnik. Uniqueness for a mutually catalytic branching model. Probab. Theory Related Fields, 112(2):245-253, 1998. Math. Review 99i:60125
  23. E.A. Perkins. Dawson-Watanabe superprocesses and measure-valued diffusions. In …cole d'ÈtÈ de probabilitÈs de Saint Flour XXIX-1999, Lecture Notes in Mathematics. Springer-Verlag, Berlin, to appear 2000. Math Review article not yet available.
  24. T. Shiga. Two contrasting properties of solutions for one-dimensional stochastic partial differential equations. Can. J. Math., 46:415-437, 1994. Math. Review 95h:60099
  25. T. Shiga and A. Shimizu. Infinite-dimensional stochastic differential equations and their applications. J. Mat. Kyoto Univ., 20:395-416, 1980. Math. Review82i:60110
  26. J.B. Walsh. An introduction to stochastic partial differential equations. volume 1180 of Lecture Notes Math., pages 266-439. …cole d'ÈtÈ de probabilitÈs de Saint-Flour XIV - 1984, Springer-Verlag Berlin, 1986. Math. Review 88a:60114


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