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References

  • Giardinà, C., Kurchan, J. and Redig, F.: Duality and exact correlations for a model of heat conduction. J. Math. Phys. 48, (2007), 033301. MR2314497
  • Giardinà, C., Redig, F. and Vafayi, K.: Correlation inequalities for interacting particle systems with duality. J. Stat. Phys. 141, (2010), 242-263. MR2726642
  • Grosskinsky, S., Redig, F. and Vafayi, K.: Condensation in the inclusion process and related models. J. Stat. Phys. 142, (2011), 952-974. MR2781716
  • Moran, P.A.P.: The statistical processes of evolutionary theory. Clarendon Press, Oxford, 1962.
  • Arnoldt, H., Timme, M. and Grosskinsky, S.: Frequency-dependent fitness induces multistability in coevolutionary dynamics. J. R. Soc. Interface 9(77), (2012), 3387-3396.
  • Giardinà, C., Kurchan, J., Redig, F. and Vafayi, K.: Duality and hidden symmetries in interacting particle systems. J. Stat. Phys. 135, (2009), 25-55. MR2505724
  • Bernardin, C.: Superdiffusivity of asymmetric energy model in dimensions 1 and 2. J. Math. Phys. 49, (2008), 103301, 20 pp. MR2464620
  • Waclaw, B. and Evans, M.R.: Explosive condensation in a mass transport model. Phys. Rev. Lett. 108, (2012), 070601.
  • Hirschberg, O., Mukamel, D. and Schütz, G.M.: Motion of condensates in non-Markovian zero-range dynamics. J. Stat. Mech., (2012), P08014.
  • Jara, M. and Beltran, J.: private communication
  • Beltrán, J. and Landim, C.: Metastability of reversible condensed zero range processes on a finite set. Probab. Theory Related Fields 152, (2012), 781-807. MR2892962
  • Landim, C.: Metastability for a non-reversible dynamics: the evolution of the condensate in totally asymmetric zero range processes, arXiv:1204.5987
  • Pavliotis, G.A. amd Stuart, A.: Multiscale methods. Averaging and homogenization. Texts in Applied Mathematics, 53. Springer, New York, 2008. MR2382139
  • Kurtz, T.G.: A limit theorem for perturbed operator semigroups with applications to random evolutions. J. Functional Analysis 12, (1973), 55-67. MR0365224
  • Grosskinsky, S., Schütz, G.M. and Spohn, H.: Condensation in the zero range process: stationary and dynamical properties. J. Statist. Phys. 113, (2003), 389-410. MR2013129
  • Godrèche, C. and Luck, J M.: Dynamics of the condensate in zero-range processes. J. Phys. A 38, (2005), 7215-7237. MR2165701
  • Liggett, T.M.: Interacting particle systems. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 276. Springer-Verlag, New York, 1985. MR0776231
  • Huillet, T: A duality approach to the genealogies of discrete nonneutral Wright-Fisher models. J. Probab. Stat., (2009), 714701. MR2602875
  • Whitt, W.: Proofs of the martingale FCLT. Probab. Surv. 4, (2007), 268-302. MR2368952
  • Ethier, S.N. and Kurtz, T.G.: Markov processes. Characterization and convergence. Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics. John Wiley & Sons, Inc., New York, 1986. MR0838085
  • Huillet, T.: On the Karlin-Kimura approaches to the Wright-Fisher diffusion with fluctuating selection. J. Stat. Mech., (2011), P02016.


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