50 citations · 155 across the 15 of their papers we have counts for
4 papers · 2 filters
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…
Fitting ideals for finitely presented algebraic dynamical systems
M. Einsiedler, T. Ward
We consider a class of algebraic dynamical systems introduced by Kitchens and Schmidt. Under a weak finiteness condition -- the Descending Chain Condition -- the dual modules have…
Arithmetic and growth of periodic orbits
Yash Puri, Thomas Ward
We give necessary and sufficient conditions for a sequence to be exactly realizable as the sequence of numbers of periodic points in a dynamical system. Using these conditions, we…
Dynamical zeta functions for typical extensions of full shifts
T. Ward
We consider a family of isometric extensions of the full shift on p symbols (for p a prime) parametrized by a probability space. Using Heath-Brown's work on the Artin conjecture, i…