The PDF file you selected should load here if your Web browser has a PDF reader plug-in installed (for example, a recent version of Adobe Acrobat Reader).

Alternatively, you can also download the PDF file directly to your computer, from where it can be opened using a PDF reader. To download the PDF, click the Download link below.

If you would like more information about how to print, save, and work with PDFs, Highwire Press provides a helpful Frequently Asked Questions about PDFs.

Download this PDF file Fullscreen Fullscreen Off


  • Burton, R. M.; Keane, M. Density and uniqueness in percolation. Comm. Math. Phys. 121 (1989), no. 3, 501--505. MR0990777
  • Castellano, C., Fortunato, S. and Loreto, V., Statistical physics of social dynamics, Reviews of Modern Physics, Vol. 81, pp. 591-646, 2009.
  • Deffuant, G., Neau, D., Amblard, F. and Weisbuch, G., Mixing beliefs among interacting agents, Advances in Complex Systems, Vol. 3, pp. 87-98, 2000.
  • Grimmett, Geoffrey. Percolation. Second edition. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 321. Springer-Verlag, Berlin, 1999. xiv+444 pp. ISBN: 3-540-64902-6 MR1707339
  • Häggström, Olle. A pairwise averaging procedure with application to consensus formation in the Deffuant model. Acta Appl. Math. 119 (2012), 185--201. MR2915577
  • Häggström, Olle; Schonmann, Roberto H.; Steif, Jeffrey E. The Ising model on diluted graphs and strong amenability. Ann. Probab. 28 (2000), no. 3, 1111--1137. MR1797305
  • Hirscher, T., The Deffuant model on Z with higher-dimensional opinion spaces, in preparation.
  • Kallenberg, Olav. Foundations of modern probability. Second edition. Probability and its Applications (New York). Springer-Verlag, New York, 2002. xx+638 pp. ISBN: 0-387-95313-2 MR1876169
  • Kellerer, Hans G. Markov-Komposition und eine Anwendung auf Martingale. (German) Math. Ann. 198 (1972), 99--122. MR0356250
  • Lanchier, N. The critical value of the Deffuant model equals one half. ALEA Lat. Am. J. Probab. Math. Stat. 9 (2012), no. 2, 383--402. MR3069370
  • 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
  • Meilijson, Isaac; Nádas, Arthur. Convex majorization with an application to the length of critical paths. J. Appl. Probab. 16 (1979), no. 3, 671--677. MR0540805
  • Shaked, Moshe; Shanthikumar, J. George. Stochastic orders. Springer Series in Statistics. Springer, New York, 2007. xvi+473 pp. ISBN: 978-0-387-32915-4; 0-387-32915-3 MR2265633
  • Shang, Y., Deffuant model with general opinion distributions: First impression and critical confidence bound, Complexity, Vol. 19 (2), pp. 38-49, 2013.
  • Weisbuch, G., Bounded confidence and social networks, The European Physical Journal B - Condensed Matter and Complex Systems, Vol. 38 (2), pp. 339-343, 2004.

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.