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- W836338410 abstract "On Ergodic Theory in Non-Archimedean Settings Alena Jassova November 2014 In this thesis we use tools from ergodic theory to study ergodic and metric properties of Schneider’s continued fraction map in non-Archimedean settings. We show that the natural extension of this map is isomorphic to a Bernoulli shift with entropy #(k) #(k)−1 log(#(k)). Results about various averages and moving averages of partial quotients of this expansion are proved as well. We also use ergodic theoretic methods to prove the uniform distribution of β-adic Halton sequences in the form (φβ(kj))j≥1 where a sequence of nonnegative integers (kj) ∞ j=1 is Hartman uniformly distributed and L -good universal and the bases β = (β1, . . . , βs) are special Pisot-Vijayaraghavan numbers." @default.
- W836338410 created "2016-06-24" @default.
- W836338410 creator A5045203729 @default.
- W836338410 date "2014-01-01" @default.
- W836338410 modified "2023-09-27" @default.
- W836338410 title "On ergodic theory in non-Archimedean settings" @default.
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- W836338410 hasPublicationYear "2014" @default.
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