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Zd GROUP SHIFTS AND BERNOULLI FACTORS
Zd GROUP SHIFTS BERNOULLI FACTORS
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2015/9/29
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...
Zd SHIFTS OF FINITE TYPE WITHOUT EQUAL ENTROPY FULL SHIFT FACTORS
Zd SHIFTS FINITE TYPE ENTROPY FULL SHIFT
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2015/9/29
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...
Spherical Asymptotics for the Rotor-Router Model in Zd
Spherical Asymptotics Rotor-Router Model Zd
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2015/8/14
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
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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...