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Ergodic dynamical systems over the cartesian power of the ring of p-adic integers

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Abstract

For any 1-lipschitz ergodic map F: ℤ k p ↦ ℤ k p , k >1 ∈ ℕ, there are 1-lipschitz ergodic map G: ℤ p ↦ ℤ p and two bijections H k , T k, P that

$G = H_k \circ T_{k,P} \circ F \circ H_k^{ - 1} andF = H_k^{ - 1} \circ T_{k,P - 1} \circ G \circ H_k $

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References

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Correspondence to V. Sopin.

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Sopin, V. Ergodic dynamical systems over the cartesian power of the ring of p-adic integers. P-Adic Num Ultrametr Anal Appl 6, 333–336 (2014). https://doi.org/10.1134/S2070046614040086

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  • DOI: https://doi.org/10.1134/S2070046614040086

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