Article ID Journal Published Year Pages File Type
4582740 Finite Fields and Their Applications 2016 27 Pages PDF
Abstract

We give a characterization of measure-preservation of 1-Lipschitz functions on Fq[[T]]Fq[[T]] in terms of the van der Put expansion and use this result to give sufficient conditions for measure-preserving 1-Lipschitz functions on Fq[[T]]Fq[[T]] in terms of the three well known bases, Carlitz polynomials, digit derivatives and digit shifts. We show that these conditions are also necessary for F2[[T]]F2[[T]]. Moreover, we give an alternate, unified proof of ergodicity criteria of F2[[T]]F2[[T]] in terms of the aforementioned three bases.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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