11 citations · 20 across the 3 of their papers we have counts for
3 papers
math.DS2012★ 11 cited
Polynomial decay of correlations in linked-twist maps
J. Springham, R. Sturman
Linked-twist maps are area-preserving, piece-wise diffeomorphisms, defined on a subset of the torus. They are non-uniformly hyperbolic generalisations of the well-known Arnold Cat…
math.DS2008
A Bernoulli linked-twist map in the plane
James Springham, Stephen Wiggins
We prove that a Lebesgue measure-preserving linked-twist map defined in the plane is metrically isomorphic to a Bernoulli shift (and thus strongly mixing). This is the first such r…
math.DS2008★ 9 cited
Ergodic properties of linked-twist maps
James Springham
We study a class of homeomorphisms of surfaces collectively known as linked-twist maps. We introduce an abstract definition which enables us to give a precise characterisation of a…