Oliver Butterley

activity

20122025

most citedOpen sets of Axiom A flows with Exponentially Mixing Attractors (with Erratum)

17 citations · 92 across the 15 of their papers we have counts for

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Showing 2014Show all

3 papers · 1 filter

math.DS2014★ 2 cited

Exponential Mixing for Skew Products with Discontinuities

Oliver Butterley, Peyman Eslami

We consider the skew product $F : (x, u) \mapsto (f (x), u + τ (x))$ , where the base map $f : T^{1} \to T^{1}$ is piecewise $C^{2}$ , covering and uniformly…

math.DS2014★ 15 cited

A Note on Operator Semigroups Associated to Chaotic Flows

Oliver Butterley

The transfer operator associated to a flow (continuous time dynamical system) is a one-parameter operator semigroup. We consider the operator-valued Laplace transform of this one-p…

math.DS2014★ 17 cited

Open sets of Axiom A flows with Exponentially Mixing Attractors (with Erratum)

Vítor Araújo, Oliver Butterley, Paulo Varandas

For any dimension $d \geq 3$ we construct $C^{1}$ -open subsets of the space of $C^{3}$ vector fields such that the flow associated to each vector field is Axiom A and exhibits a non…