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References
- Billingsley, P. Convergence of Probability Measures.
Wiley series in probability and statistics, New York (1968)
Math. Review MR0233396 (38 #1718)
- Burdzy, K., Hol yst, R., Ingerman, D., March, P. (1996) Configurational transition in a Fleming-Viot type model and probabilistic interpretation of Laplacian eigenfunctions J. Phys. A 29, 2633-2642. Math. Review number not available
- Burdzy, K., Hol yst, R., March, P. (2000) A Fleming-Viot particle representation of the Dirichlet Laplacian Comm. Math. Phys. 214, no. 3. Math. Review MR1800866 (2002c:60130)
- Dawson, D.A. (1992) Infinitely divisible random measures and superprocesses. In: Stochastic Analysis and Related Topics, H. K"{o}rezlioglu and A.S. "{U}st"{u}nel, Eds, Boston: Birkh"{a}user. Math. Review MR1203373 (94f:60065)
- Ethier, S., Kurtz, T. (1986) Markov processes : characterization and convergence. Wiley series in probability and statistics, New York. Math. Review MR0838085 (88a:60130)
- Evans, L.C. (1998) Partial Differential Equations American Mathematical Society, Providence, R.I. Math. Review MR1625845 (99e:35001)
- Grigorescu, I., Kang, M. (2002) Brownian motion on the figure eight Journal of Theoretical Probability, 15 (3): 817-844. Math. Review MR1922448 (2003f:60144)
- Grigorescu, I., Kang, M. (2003) Path Collapse for an Inhomogeneous Random Walk. J. Theoret. Probab. 16, no. 1, 147--159. Math. Review MR1956825 (2004i:60116)
- Grigorescu, I., Kang, M. (2005) Ergodic Properties of Multidimensional Brownian Motion with Rebirth Preprint. Preprint.
- Grigorescu, Ilie; Kang, Min Path collapse for multidimensional Brownian motion with rebirth. Statist. Probab. Lett. 70 (2004), no. 3, 199--209. Math. Review MR2108086 (2005j:60155)
- Grigorescu, I., Kang, M. (2004) Hydrodynamic Limit for a Fleming-Viot Type System. Stochastic Process. Appl. 110, no. 1, 111-143. Math. Review MR2052139 (2005d:60153)
- Hiraba, S.(2000) Jump-type Fleming-Viot processes }Adv. in Appl. Probab. 32, no. 1, 140--158. Math. Review MR1765166 (2001g:60119)
- Ikeda, N., Watanabe, S. (1989) Stochastic Differential Equations and Diffusion Processes Second Edition, North-Holland, Amsterdam and Kodansha, Tokyo. Math. Review MR1011252 (90m:60069)
- Oelschl"{a}ger, K. (1985) A law of large numbers for moderately interacting diffusion processes Z. Wahrscheinlichkeitstheorie verw. Gebiete, vol 69, 279-322. Math. Review MR0779460 (86h:60153)
- Kipnis, C.; Landim, C. (1999) Scaling Limits of Interacting Particle Systems} Springer-Verlag, New York. Math. Review MR1707314 (2000i:60001)

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