On ergodicity of some cylinder flows
We study ergodicity of cylinder flows of the form , , where is a measurable cocycle with zero integral. We show a new class of smooth ergodic cocycles. Let k be a natural number and let f be a function such that is piecewise absolutely continuous (but not continuous) with zero sum of jumps. We show that if the points of discontinuity of have some good properties, then is ergodic. Moreover, there exists such that if is a function with zero integral such that is of bounded variation...