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References

  • Alkemper, Roland; Hutzenthaler, Martin. Graphical representation of some duality relations in stochastic population models. Electron. Comm. Probab. 12 (2007), 206--220 (electronic). MR2320823
  • R. Alkemper and M. Hutzenthaler. Dual basic mechanisms Available at http://evol.bio.lmu.de/people/group_metzler1/hutzenthaler_m/publikationen/classification.pdf
  • Athreya, Siva R.; Swart, Jan M. Branching-coalescing particle systems. Probab. Theory Related Fields 131 (2005), no. 3, 376--414. MR2123250
  • Blath, Jochen; Etheridge, Alison; Meredith, Mark. Coexistence in locally regulated competing populations and survival of branching annihilating random walk. Ann. Appl. Probab. 17 (2007), no. 5-6, 1474--1507. MR2358631
  • Clifford, Peter; Sudbury, Aidan. A sample path proof of the duality for stochastically monotone Markov processes. Ann. Probab. 13 (1985), no. 2, 558--565. MR0781422
  • Diaconis, P.; Freedman, D. Finite exchangeable sequences. Ann. Probab. 8 (1980), no. 4, 745--764. MR0577313
  • Donnelly, Peter; Kurtz, Thomas G. A countable representation of the Fleming-Viot measure-valued diffusion. Ann. Probab. 24 (1996), no. 2, 698--742. MR1404525
  • 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
  • Griffeath, David. Additive and cancellative interacting particle systems. Lecture Notes in Mathematics, 724. Springer, Berlin, 1979. iv+108 pp. ISBN: 3-540-09508-X MR0538077
  • Harris, T. E. Additive set-valued Markov processes and graphical methods. Ann. Probability 6 (1978), no. 3, 355--378. MR0488377
  • Liggett, Thomas M. Interacting particle systems. Reprint of the 1985 original. Classics in Mathematics. Springer-Verlag, Berlin, 2005. xvi+496 pp. ISBN: 3-540-22617-6 MR2108619
  • Sudbury, Aidan; Lloyd, Peter. Quantum operators in classical probability theory. II. The concept of duality in interacting particle systems. Ann. Probab. 23 (1995), no. 4, 1816--1830. MR1379169
  • Sudbury, Aidan. Dual families of interacting particle systems on graphs. J. Theoret. Probab. 13 (2000), no. 3, 695--716. MR1785526
  • J. Swart. Duals and thinnings of some relatives of the contact process. ArXiv:math.PR/0604335. A shortened version of this preprint has been published as p. 203-214 in: Prague Stochastics 2006, M. HuskovĂ¡ and M. Janzura (eds.), Matfyzpress, Prague, 2006.


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