We continue the study of the nonlinear Pólya urn model which was discussed in Chap.  2 . In this chapter, we investigate the extreme case and especially the phase transition. We can analyze the phase transition using the exact solutions for this model, especially the critical exponent. In the voting model, the herder is the extreme herder.

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Extreme Nonlinear Pólya Urn Model and Phase Transitions

  • Masato Hisakado

摘要

We continue the study of the nonlinear Pólya urn model which was discussed in Chap.  2 . In this chapter, we investigate the extreme case and especially the phase transition. We can analyze the phase transition using the exact solutions for this model, especially the critical exponent. In the voting model, the herder is the extreme herder.