50 citations · 131 across the 25 of their papers we have counts for
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Dirichlet series for finite combinatorial rank dynamics
G. Everest, R. Miles, S. Stevens +1
We introduce a class of group endomorphisms -- those of finite combinatorial rank -- exhibiting slow orbit growth. An associated Dirichlet series is used to obtain an exact orbit c…
Orbit-counting in non-hyperbolic dynamical systems
G. Everest, R. Miles, S. Stevens +1
There are well-known analogs of the prime number theorem and Mertens' theorem for dynamical systems with hyperbolic behaviour. Here we consider the same question for the simplest n…
Orbit counting with an isometric direction
G. Everest, V. Stangoe, T. Ward
Analogues of the prime number theorem and Merten's theorem are well-known for dynamical systems with hyperbolic behaviour. In this paper a 3-adic extension of the circle doubling m…
Periodic points for good reduction maps on curves
Manfred Einsiedler, Graham Everest, Thomas Ward
The periodic points of a morphism of good reduction for a smooth projective curve with good reduction over the p-adics form a discrete set. This is used to give an interpretation o…
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…