Download this PDF file Fullscreen Fullscreen Off
References
- Dawson, Donald A. Measure-valued Markov processes. École d'Été de Probabilités de Saint-Flour XXI—1991, 1--260, Lecture Notes in Math., 1541, Springer, Berlin, 1993. MR1242575
- Dawson, Donald A.; Perkins, Edwin A. Historical processes. Mem. Amer. Math. Soc. 93 (1991), no. 454, iv+179 pp. MR1079034
- Depperschmidt, Andrej; Greven, Andreas; Pfaffelhuber, Peter. Marked metric measure spaces. Electron. Commun. Probab. 16 (2011), 174--188. MR2783338
- Ethier, Stewart N.; Kurtz, Thomas G. Markov processes. Characterization and convergence. Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics. John Wiley & Sons, Inc., New York, 1986. x+534 pp. ISBN: 0-471-08186-8 MR0838085
- Fournier, Nicolas; Méléard, Sylvie. A microscopic probabilistic description of a locally regulated population and macroscopic approximations. Ann. Appl. Probab. 14 (2004), no. 4, 1880--1919. MR2099656
- Greven, Andreas; Pfaffelhuber, Peter; Winter, Anita. Convergence in distribution of random metric measure spaces ($\Lambda$-coalescent measure trees). Probab. Theory Related Fields 145 (2009), no. 1-2, 285--322. MR2520129
- Greven, Andreas; Pfaffelhuber, Peter; Winter, Anita. Tree-valued resampling dynamics martingale problems and applications. Probab. Theory Related Fields 155 (2013), no. 3-4, 789--838. MR3034793
- S. Kliem and A. Winter. Evolving phylogenies of trait-dependent branching with mutation and competition. In preparation (2014).
- Méléard, Sylvie; Tran, Viet Chi. Nonlinear historical superprocess approximations for population models with past dependence. Electron. J. Probab. 17 (2012), no. 47, 32 pp. MR2946154
- Méléard, Sylvie; Tran, Viet Chi. Slow and fast scales for superprocess limits of age-structured populations. Stochastic Process. Appl. 122 (2012), no. 1, 250--276. MR2860449
- Perkins, Edwin. Dawson-Watanabe superprocesses and measure-valued diffusions. Lectures on probability theory and statistics (Saint-Flour, 1999), 125--324, Lecture Notes in Math., 1781, Springer, Berlin, 2002. MR1915445
This work is licensed under a Creative Commons Attribution 3.0 License.