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  • Bramson, Maury; Griffeath, David. On the Williams-Bjerknes tumour growth model. I. Ann. Probab. 9 (1981), no. 2, 173--185. MR0606980
  • Cox, J. Theodore; Durrett, Richard; Perkins, Edwin A. Voter model perturbations and reaction diffusion equations. Astérisque No. 349 (2013), vi+113 pp. ISBN: 978-2-85629-355-3 MR3075759
  • Zähle, Iljana; Cox, J. Theodore; Durrett, Richard. The stepping stone model. II. Genealogies and the infinite sites model. Ann. Appl. Probab. 15 (2005), no. 1B, 671--699. MR2114986
  • Durrett, Rick. Ten lectures on particle systems. Lectures on probability theory (Saint-Flour, 1993), 97--201, Lecture Notes in Math., 1608, Springer, Berlin, 1995. MR1383122
  • Durrett, Rick; Zähle, Iljana. On the width of hybrid zones. Stochastic Process. Appl. 117 (2007), no. 12, 1751--1763. MR2437727
  • Feller, William. An introduction to probability theory and its applications. Vol. II. John Wiley & Sons, Inc., New York-London-Sydney 1966 xviii+636 pp. MR0210154
  • Fukai, Yasunari; Uchiyama, Kôhei. Potential kernel for two-dimensional random walk. Ann. Probab. 24 (1996), no. 4, 1979--1992. MR1415236
  • 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
  • Holley, R.; Liggett, T. M. The survival of contact processes. Ann. Probability 6 (1978), no. 2, 198--206. MR0488379
  • Liggett, Thomas M. Interacting particle systems. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 276. Springer-Verlag, New York, 1985. xv+488 pp. ISBN: 0-387-96069-4 MR0776231
  • Liggett, Thomas M. Improved upper bounds for the contact process critical value. Ann. Probab. 23 (1995), no. 2, 697--723. MR1334167
  • Liggett, Thomas M. Stochastic interacting systems: contact, voter and exclusion processes. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 324. Springer-Verlag, Berlin, 1999. xii+332 pp. ISBN: 3-540-65995-1 MR1717346
  • Liggett, T.M. (2013) Survival of the contact+voter process on the integers.
  • Spitzer, Frank. Principles of random walk. Second edition. Graduate Texts in Mathematics, Vol. 34. Springer-Verlag, New York-Heidelberg, 1976. xiii+408 pp. MR0388547

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