( Weak ) Bernoullicity of Random Walk in Exponentially Mixing Random Scenery

  title={( Weak ) Bernoullicity of Random Walk in Exponentially Mixing Random Scenery},
  author={Peter D. van der Wal},
Consider an irreducible random walk and a stationary random scenery on Zd. The latter is assumed to be exponentially mixing, a property introduced in this paper. Exponentially mixing random fields include Gibbs fields at sufficiently high temperatures and the Ising field on Zd, d ≥ 2, at sufficiently low temperatures. We give conditions on the random walk such that the associated random walk in random scenery process is or is not Bernoulli or weak Bernoulli. Our conditions closely resemble the… CONTINUE READING

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