Mallows Permutations and Finite Dependence

Tom Hutchcroft
Tom Hutchcroft
Avi Levy
Avi Levy

ANNALS OF PROBABILITY, pp. 343.0-379.0, 2020.

Cited by: 0|Views4

Abstract:

We use the Mallows permutation model to construct a new family of stationary finitely dependent proper colorings of the integers. We prove that these colorings can be expressed as finitary factors of i.i.d. processes with finite mean coding radii. They are the first colorings known to have these properties. Moreover, we prove that the cod...More

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