2 citations · 2 across the 6 of their papers we have counts for
7 papers
Independence and Alpern Multitowers
James T. Campbell, Randall McCutcheon, Alistair Windsor
Let be any invertible, ergodic, aperiodic measure-preserving transformation of a Lebesgue probability space $(X, \calB, μ)$, and ¶\, any finite measurable partition of . We…
Enumerating ODE Equivalent Homogeneous Networks
Alistair J. Windsor
We give an simple criterion for ODE equivalence in identical edge homogeneous coupled cell networks. This allows us to give a simple proof of Theorem 10.3 of Aquiar and Dias "Minim…
An Application of Topological Multiple Recurrence to Tiling
Rafael de la Llave, Alistair Windsor
We show that given any tiling of Euclidean space, any geometric patterns of points, we can find a patch of tiles (of arbitrarily large size) so that copies of this patch appear in…
Smooth dependence on parameters of solution of cohomology equations over Anosov systems and applications to cohomology equations on diffeomorphism groups
Rafael de la Llave, Alistair Windsor
We consider the dependence on parameters of the solutions of cohomology equations over Anosov diffeomorphisms. We show that the solutions depend on parameters as smoothly as the da…
Livšic Theorems for Non-Commutative Groups including Diffeomorphism Groups and Results on the Existence of Conformal Structures for Anosov Systems
Rafael de la Llave, Alistair Windsor
The celebrated Livsic theorem states that given M a manifold, a Lie group G, a transitive Anosov diffeomorphism f on M and a Holder function η: M \mapsto G whose range is sufficien…
Nonstandard Smooth Realizations of Liouville Rotations
Bassam Fayad, Maria Saprykina, Alistair Windsor
We augment the method of conjugation approximation with explicit estimates on the conjugacy map. This allows us to construct ergodic volume preserving diffeomorphisms me…