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References

  1. Carmona, René A.; Viens, Frederi G. Almost-sure exponential behavior of a stochastic Anderson model with continuous space parameter. Stochastics Stochastics Rep. 62 (1998), no. 3-4, 251--273. MR1615092 (99c:60126)
  2. Crisan, Dan. Superprocesses in a Brownian environment.Stochastic analysis with applications to mathematical finance. Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 460 (2004), no. 2041, 243--270. MR2052263 (2005h:60306)
  3. D. Crisan and J. Xiong (2006). A central limit type theorem forparticle filter. To appear in Comm. Stoch. Anal.
  4. Dawson, D. A. The critical measure diffusion process. Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 40 (1977), no. 2, 125--145. MR0478374 (57 #17857)
  5. Dawson, D. A.; Iscoe, I.; Perkins, E. A. Super-Brownian motion: path properties and hitting probabilities. Probab. Theory Related Fields 83 (1989), no. 1-2, 135--205. MR1012498 (90k:60073)
  6. Dawson, Donald A.; Salehi, Habib. Spatially homogeneous random evolutions. J. Multivariate Anal. 10 (1980), no. 2, 141--180. MR0575923 (82c:60102)
  7. S.N. Ethier and T.G. Kurtz (1986). Markov Processes: Characterization and Convergence. Wiley.
  8. Florescu, Ionut; Viens, Frederi. Sharp estimation of the almost-sure Lyapunov exponent for the Anderson model in continuous space. Probab. Theory Related Fields 135 (2006), no. 4, 603--644. MR2240702
  9. A. Friedman (1975). Stochastic Differential Equations and Applications, Vol. 1, Academic Press.
  10. Iscoe, I. A weighted occupation time for a class of measure-valued branching processes. Probab. Theory Relat. Fields 71 (1986), no. 1, 85--116. MR0814663 (87c:60070)
  11. Iscoe, I. On the supports of measure-valued critical branching Brownian motion. Ann. Probab. 16 (1988), no. 1, 200--221. MR0920265 (88j:60097)
  12. Kallenberg, Olav. Foundations of modern probability.Second edition.Probability and its Applications (New York). Springer-Verlag, New York, 2002. xx+638 pp. ISBN: 0-387-95313-2 MR1876169 (2002m:60002)
  13. Kallianpur, Gopinath. Stochastic filtering theory. Applications of Mathematics, 13. Springer-Verlag, New York-Berlin, 1980. xvi+316 pp. ISBN: 0-387-90445-X MR0583435 (82f:60089)
  14. G. Kallianpur and J. Xiong (1995). Stochastic Differential Equations in Infinite Dimensional Spaces. IMS Lecture Notes -Monograph Series 26.
  15. Kotelenez, Peter. Comparison methods for a class of function valued stochastic partial differential equations. Probab. Theory Related Fields 93 (1992), no. 1, 1--19. MR1172936 (93i:60116)
  16. Kunita, Hiroshi. Stochastic flows and stochastic differential equations.Cambridge Studies in Advanced Mathematics, 24. Cambridge University Press, Cambridge, 1990. xiv+346 pp. ISBN: 0-521-35050-6 MR1070361 (91m:60107)
  17. Kurtz, Thomas G.; Xiong, Jie. Particle representations for a class of nonlinear SPDEs. Stochastic Process. Appl. 83 (1999), no. 1, 103--126. MR1705602 (2000g:60108)
  18. Li, Zenghu; Wang, Hao; Xiong, Jie. Conditional log-Laplace functionals of immigration superprocesses with dependent spatial motion. Acta Appl. Math. 88 (2005), no. 2, 143--175. MR2169037 (2006h:60138)
  19. Mueller, Carl; Tribe, Roger. A singular parabolic Anderson model. Electron. J. Probab. 9 (2004), no. 5, 98--144 (electronic). MR2041830 (2005b:60157)
  20. Mytnik, Leonid. Superprocesses in random environments. Ann. Probab. 24 (1996), no. 4, 1953--1978. MR1415235 (97h:60046)
  21. E. Perkins (2002).Dawson-Watanabe Superprocesses and Measure-valued Diffusions, in Ecole d'EtÈ de ProbabilitÈs de Saint Flour 1999, Lect.Notes. in Math. 1781, Springer-Verlag.
  22. Tindel, Samy; Viens, Frederi. Relating the almost-sure Lyapunov exponent of a parabolic SPDE and its coefficients' spatial regularity. Potential Anal. 22 (2005), no. 2, 101--125. MR2137056 (2006j:60067)
  23. Xiong, Jie. A stochastic log-Laplace equation. Ann. Probab. 32 (2004), no. 3B, 2362--2388. MR2078543 (2005e:60137)
  24. Xiong, Jie. Long-term behavior for superprocesses over a stochastic flow. Electron. Comm. Probab. 9 (2004), 36--52 (electronic). MR2081458 (2005k:60155)
  25. J. Xiong (2006). An Introduction to Stochastic Filtering Theory. To be published by Oxford University Press.


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