Ergodicity of certain cylinder flows | Zendy

David Pask | Zendy

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Ergodicity of certain cylinder flows

Author(s) -

David Pask

Publication year - 1991

Publication title -

israel journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.168

H-Index - 63

eISSN - 1565-8511

pISSN - 0021-2172

DOI - 10.1007/bf02782848

Subject(s) - mathematics , ergodic theory , ergodicity , irrational number , skew , pure mathematics , extension (predicate logic) , class (philosophy) , differentiable function , product (mathematics) , cohomology , algebra over a field , transformation (genetics) , discrete mathematics , geometry , biochemistry , statistics , physics , chemistry , astronomy , artificial intelligence , computer science , gene , programming language

Here we build on the result given in [P1] and extend those in [HL2] to functions which arek times differentiable a.e.,k>1. For eachk we give a class of irrational numbersS k such that the skew product extension defined by these functions is ergodic for irrational rotations by these numbers. In the second part of this paper we examine the cohomology of functions over the adding machine transformation, and produce extensions of results from [H1] and [HL3].

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