17 citations · 92 across the 15 of their papers we have counts for
4 papers · 2 filters
Area expanding C^{1+α} Suspension Semiflows
Oliver Butterley
We study a large class of suspension semiflows which contains the Lorenz semiflows. This is a class with low regularity (merely C^{1+α}) and where the return map is discontinuous a…
Robustly invariant sets in fibre contracting bundle flows
Oliver Butterley, Carlangelo Liverani
We provide abstract conditions which imply the existence of a robustly invariant neighbourhood of a global section of a fibre bundle flow. We then apply such a result to the bundle…
Expanding Semiflows on Branched Surfaces and One-Parameter Semigroups of Operators
Oliver Butterley
We consider expanding semiflows on branched surfaces. The family of transfer operators associated to the semiflow is a one-parameter semigroup of operators. The transfer operators…
An Alternative Approach to Generalised BV and the Application to Expanding Interval Maps
Oliver Butterley
We introduce a family of Banach spaces of measures, each containing the set of measures with density of bounded variation. These spaces are suitable for the study of weighted trans…