7 citations · 7 across the 2 of their papers we have counts for
4 papers
Expansive algebraic actions of countable abelian groups
Richard Miles
This paper gives an algebraic characterization of expansive actions of countable abelian groups on compact abelian groups. This naturally extends the classification of expansive al…
Mixing actions of the rationals
Richard Miles, Tom Ward
We study mixing properties of algebraic actions of , showing in particular that prime mixing actions on connected groups are mixing of all orders, as is…
Expansive subdynamics for algebraic -actions
Manfred Einsiedler, Douglas Lind, Richard Miles +1
A general framework for investigating topological actions of on compact metric spaces was proposed by Boyle and Lind in terms of expansive behavior along lower-dimensional su…
Dynamical systems arising from elliptic curves
P. D'Ambros, G. Everest, R. Miles +1
We exhibit a family of dynamical systems arising from rational points on elliptic curves in an attempt to mimic the familiar toral automorphisms. At the non-archimedean primes, a c…