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Dynamics of the -adic Shift and Applications
James Kingsbery, Alex Levin, Anatoly Preygel +1
We present a novel way of realizing the Bernoulli shift on symbols on the -adic integers, where is a prime. By showing that suitably small perturbations of the shift are…
On measure-preserving transformations of compact-open subsets of non-archimedean local fields
James Kingsbery, Alex Levin, Anatoly Preygel +1
We introduce the notion of a \emph{locally scaling} transformation defined on a compact-open subset of a non-archimedean local field. We show that this class encompasses the Haar m…
Measurable Dynamics of Maps on Profinite Groups
James Kingsbery, Alex Levin, Anatoly Preygel +1
We study the measurable dynamics of transformations on profinite groups, in particular of those which factor through sufficiently many of the projection maps; these maps generalize…