Approaching consensus can be delicate when positions harden

Joel E. Cohen, John Hajnal, Charles M. Newman

Research output: Contribution to journalArticlepeer-review


A model of consensus leads to examples in which the ergodic behavior of a nonstationary product of random nonnegative matrices depends discontinuously on a continuous parameter. In these examples, a product of random matrices, each of which is a scrambling stochastic matrix, changes from being weakly ergodic (asymptotically of rank 1) with probability 1 to being weakly ergodic with probability 0 as a parameter of the process changes smoothly.

Original languageEnglish (US)
Pages (from-to)315-322
Number of pages8
JournalStochastic Processes and their Applications
Issue number2
StatePublished - Jul 1986


  • ergodicity
  • inhomogeneous products
  • products of random nonnegative matrices
  • strong limit laws
  • zero-one laws
  • zeta function

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Applied Mathematics


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