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In this paper, a group shift is an expansive action of Zd on a compact metrizable zero dimensional group by continuous automorphisms. All group shifts factor topologically onto equal-entropy Bernoulli...
For d ≥ 2, we use results of Hochman and Meyerovitch to construct examples of Zd shifts of finite type of entropy log N, N ∈ N, which cannot factor topologically onto the Zd Bernoulli shift on N symbo...
The rotor-router model is a deterministic analogue of random walk invented by Jim Propp. It can be used to definea deterministic aggregation model analogous to internal diffusion limited aggregation. ...
Escape rates for rotor walks in Zd     Escape rates  rotor walks  Zd       2015/8/14
Rotor walk is a deterministic analogue of random walk. We study its recurrence and transience properties on Zd for the initial configuration of all rotors aligned. If n particles in turn perform rotor...

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