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All issues Volume 30 (2026) ESAIM: PS, 30 (2026) 27-48 References
Open Access
Issue
ESAIM: PS
Volume 30, 2026
Page(s) 27 - 48
DOI https://doi.org/10.1051/ps/2025016
Published online 22 January 2026
  1. T.E. Harris, Contact interactions on a lattice. Ann. Probab. 2 (1974) 969–988. [Google Scholar]
  2. R. Durrett and D. Griffeath, Supercritical Contact Processes on Z. Ann. Probab. 11 (1983) 1–15. [Google Scholar]
  3. R. Durrett and D. Griffeath, Contact processes in several dimensions. Z. Wahrsch. Verw. Gebiete 59 (1982) 535–552. [Google Scholar]
  4. C. Bezuidenhout and G. Grimmett, The critical contact process dies out. Ann. Probab. 4 (1990) 1462–1482. [Google Scholar]
  5. R. Durrett, The contact process, 1974-1989, in Mathematics of Random Media (Blacksburg, VA, 1989). Vol. 27 of Lectures in Applied Mathematics. American Mathematical Society, Providence, RI (1991) 1–18. [Google Scholar]
  6. T.M. Liggett, Stochastic interacting systems: contact, voter and exclusion processes. Vol. 324 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Springer-Verlag, Berlin (1999). [Google Scholar]
  7. S.M. Krone, The two-stage contact process. Ann. Appl. Probab. 9 (1999) 331–351. [Google Scholar]
  8. R. Durrett and R.B. Schinazi, Boundary modified contact processes. J. Theoret. Probab. 13 (2000) 575–594. [Google Scholar]
  9. E.I. Broman, Stochastic domination for a hidden Markov chain with applications to the contact process in a randomly evolving environment. Ann. Probab. 35 (2007) 2263–2293. [Google Scholar]
  10. D. Remenik, The contact process in a dynamic random environment. Ann. Appl. Probab. 18 (2008) 2392–2420. [Google Scholar]
  11. J.E. Steif and M. Warfheimer, The critical contact process in a randomly evolving environment dies out. ALEA Lat. Am. J. Probab. Math. Statist. 4 (2008) 337–357. [Google Scholar]
  12. A. Deshayes, The contact process with aging ALEA Lat. Am. J. Probab. Math. Stat. 11 (2014) 845–883. [Google Scholar]
  13. R. Marchand, I. Marcovici and P. Siest, Richardson's model and the contact process with stirring: long time behavior. arXiv:2504.03627 (2025). [Google Scholar]
  14. J.M. Hammersley and D.J.A. Welsh, First-passage percolation, subadditive processes, stochastic networks, and generalized renewal theory, in Proc. Internat. Res. Semin., Statist. Lab., Univ. California, Berkeley, Calif. SpringerVerlag, New York (1965) 61–110. [Google Scholar]
  15. O. Garet and R. Marchand, Asymptotic shape for the contact process in random environment. Ann. Appl. Probab. 22 (2012) 1362–1410. [Google Scholar]
  16. H. Kesten, Discussion on Professor Kingman's paper. Ann. Probab. 1 (1973) 903. [Google Scholar]
  17. J.M. Hammersley, Postulates for subadditive processes. Ann. Probab. 2 (1974) 652–680. [Google Scholar]
  18. T.M. Liggett, Interacting particle systems. Classics in Mathematics. Springer-Verlag, Berlin (2005). Reprint of the 1985 original. [Google Scholar]
  19. E. Foxall, Duality and complete convergence for multi-type additive growth models. Adv. Appl. Probab. 48 (2016) 32–51. [Google Scholar]
  20. J.M. Swart, A Course in Interacting Particle Systems. arXiv:1703.10007 (2022) [Google Scholar]
  21. T.E. Harris, Additive set-valued Markov processes and graphical methods. Ann. Probab. 6 (1978) 355-378. [Google Scholar]
  22. O. Garet and R. Marchand, Growth of a population in a dynamical hostile environment. Adv. Appl. Probab. 46 (2012) 661–686. [Google Scholar]
  23. O. Blondel, Front progression in the East model. Stochastic Process. Appl. 123 (2013) 3430–3465. [Google Scholar]
  24. O. Blondel, A. Deshayes and C. Toninelli, Front evolution of the Fredrickson-Andersen one spin facilitated model. Electron. J. Probab. 24 (2019) 1–32. [CrossRef] [Google Scholar]
  25. I. Hartarsky and F. Lucio, Toninelli Kinetically constrained models out of equilibrium. Probab. Math. Phys. 5 (2024) 461–489. [Google Scholar]
  26. S. Velasco, Extinction and Survival in Inherited Sterility. https://arxiv.org/abs/2404.11963. [Google Scholar]
  27. I. Alvarenga and A. Deshayes, The Rightmost Particle of the Contact Process on Dynamic Random Environments. https://arxiv.org/abs/2510.20598. [Google Scholar]
  28. M. Reitmeier and M. Seiler, Shape Theorem for the Contact Process in a Dynamical Random Environment. https://arxiv.org/abs/2508.16330. [Google Scholar]
  29. R. Berezin and L. Mytnik, Asymptotic behaviour of the critical value for the contact process with rapid stirring. J. Theor. Probab. 27 (2014) 1045–1057. [Google Scholar]

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