Weak Bernoullicity of random walk in random scenery
Copyright policy )Weak Bernoullicity of random walk in random scenery
Summary: We consider an arbitrary irreducible random walk and an arbitrary stationary and ergodic random scenery on \(\mathbb{Z}^d\). We find conditions on their distributions such that the associated random walk in random scenery is or is not weak Bernoulli. Our results extend an earlier classification for the special case in which the individual scenery values are assumed to be independent and identically distributed random variables.
- Wrocław University of Science and Technology Poland
- Chalmers University of Technology Sweden
- Technical University Eindhoven Netherlands
- Wesleyan University United States
- Georgia Institute of Technology United States
ergodic random scenery, Sums of independent random variables; random walks, irreducible random walk, Processes in random environments, Other physical applications of random processes
ergodic random scenery, Sums of independent random variables; random walks, irreducible random walk, Processes in random environments, Other physical applications of random processes
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