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  • Bellman, Richard. The stability of solutions of linear differential equations. Duke Math. J. 10, (1943). 643--647. MR0009408
  • Dobrušin, R. L. Markov processes with a large number of locally interacting components: Existence of a limit process and its ergodicity. (Russian) Problemy Peredači Informacii 7 (1971), no. 2, 70--87. MR0310999
  • Dyer, Martin; Sinclair, Alistair; Vigoda, Eric; Weitz, Dror. Mixing in time and space for lattice spin systems: a combinatorial view. Randomization and approximation techniques in computer science, 149--163, Lecture Notes in Comput. Sci., 2483, Springer, Berlin, 2002. MR2047027
  • Granovsky, Boris L.; Madras, Neal. The noisy voter model. Stochastic Process. Appl. 55 (1995), no. 1, 23--43. MR1312146
  • Hayes, Thomas P.; Sinclair, Alistair. A general lower bound for mixing of single-site dynamics on graphs. Ann. Appl. Probab. 17 (2007), no. 3, 931--952. MR2326236
  • Kelly, Frank P. Reversibility and stochastic networks. Wiley Series in Probability and Mathematical Statistics. John Wiley & Sons, Ltd., Chichester, 1979. viii+230 pp. ISBN: 0-471-27601-4 MR0554920
  • 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
  • Liggett, Thomas M. Continuous time Markov processes. An introduction. Graduate Studies in Mathematics, 113. American Mathematical Society, Providence, RI, 2010. xii+271 pp. ISBN: 978-0-8218-4949-1 MR2574430
  • Levin, David A.; Peres, Yuval; Wilmer, Elizabeth L. Markov chains and mixing times. With a chapter by James G. Propp and David B. Wilson. American Mathematical Society, Providence, RI, 2009. xviii+371 pp. ISBN: 978-0-8218-4739-8 MR2466937
  • Rouche, Nicolas; Habets, P.; Laloy, M. Stability theory by Liapunov's direct method. Applied Mathematical Sciences, Vol. 22. Springer-Verlag, New York-Heidelberg, 1977. xii+396 pp. ISBN 0-387-90258-9. MR0450715

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