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Mytnik, Leonid. Uniqueness for a Competing Species Model. Canadian journal of mathematics, Tome 51 (1999) no. 2, pp. 372-448. doi: 10.4153/CJM-1999-019-x
@article{10_4153_CJM_1999_019_x,
author = {Mytnik, Leonid},
title = {Uniqueness for a {Competing} {Species} {Model}},
journal = {Canadian journal of mathematics},
pages = {372--448},
year = {1999},
volume = {51},
number = {2},
doi = {10.4153/CJM-1999-019-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1999-019-x/}
}
[1] [1] Adams, D. and Hedberg, L., Function Spaces and Potential Theory. Springer-Verlag, Berlin, 1996. Google Scholar
[2] [2] Adler, R. and Mytnik, L., Bisexual branching diffusions. Adv. in Appl. Probab. 27 (1995), 980–1018. Google Scholar
[3] [3] Aikawa, H., Potential theory, Part II. Lecture Notes in Math. 1633 (1996), 103–200. Google Scholar
[4] [4] Baras, P. and Pierre, M., Problèmes paraboliques semi-linéaires avec données mesures. Appl. Anal. 18 (1984), 111–149. Google Scholar
[5] [5] Barlow, M., Evans, S. and Perkins, E., Collision local times and measure-valued processes. Canad. J. Math. (5) 43 (1991), 897–938. Google Scholar
[6] [6] Dawson, D., Geostochastic calculus. Canad. J. Statist. 6 (1978), 143–168. Google Scholar
[7] [7] Dawson, D., Infinitely Divisible RandomMeasures and Superprocesses. In: Stochastic Analysis and Related Topics (Eds. Körezlioğlu, H. and Üstünel, A.), Birkhäuser, Boston, 1992. Google Scholar
[8] [8] Dynkin, E., Representation for functionals of superprocesses by multiple stochastic integrals, with applications to self-intersection local times. Astérisque 157-158 (1988), 147–171. Google Scholar
[9] [9] Dynkin, E., Superprocesses and partial differential equations. Ann. Probab. 21 (1993), 1185–1262. Google Scholar
[10] [10] Ethier, S. N. and Kurtz, T. G., Markov Processes: Characterization and Convergence. John Wiley and Sons, New York, 1986. Google Scholar
[11] [11] Evans, S. and Perkins, E., Absolute continuity results for superprocesses with some applications. Trans. Amer. Math. Soc. 325 (1991), 661–681. Google Scholar
[12] [12] Evans, S. and Perkins, E., Measure-valued branching diffusions with singular interactions. Canad. J. Math. (1) 46 (1994), 120–168. Google Scholar
[13] [13] Evans, S. and Perkins, E., Collision local times, historical calculus, and competing superprocesses. Preprint, 1997. Google Scholar
[14] [14] Fleischmann, K., Critical behavior of some measure-valued processes. Math. Nachr. 135 (1988), 131–147. Google Scholar
[15] [15] Jakubowski, A., On the Skorohod Topology. Ann. Inst. H. Poincaré Probab. Statist. 22 (1986), 263–285. Google Scholar
[16] [16] Mitoma, I., Tightness of probabilities on C([0; 1]; S0) and D ([0; 1]; S0). Ann. Probab. 11 (1983), 989–999. Google Scholar
[17] [17] Mytnik, L., Superprocesses in random environments. Ann. Probab. 24 (1996), 1953–1978. Google Scholar
[18] [18] Mytnik, L., Weak uniqueness for the heat equation with noise. Ann. Probab. 26 (1998), 968–984. Google Scholar
[19] [19] Perkins, E., On the Martingale Problem for Interactive Measure-Valued Branching Diffusions. Mem. Amer. Math. Soc. 549, 1995. Google Scholar
[20] [20] Walsh, J., An introduction to stochastic partial differential equations. Lecture Notes in Math. 1180 (1986), 265–439. Google Scholar
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