Outputs (5)

The canonical height of an algebraic point on an elliptic curve (2000)
Journal Article
Everest, G., & Ward, T. (2000). The canonical height of an algebraic point on an elliptic curve. New York journal of mathematics, 6, 331-342

We use elliptic divisibility sequences to describe a method for estimating the global canonical height of an algebraic point on an elliptic curve. This method requires almost no knowledge of the number field or the curve, is simple to implement, and... Read More about The canonical height of an algebraic point on an elliptic curve.

Fitting ideals for finitely presented algebraic dynamical systems (2000)
Journal Article
Einsiedler, M., & Ward, T. (2000). Fitting ideals for finitely presented algebraic dynamical systems. Aequationes Mathematicae, 60(1-2), 57-71. https://doi.org/10.1007/s000100050135

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 finite resentations. Using methods from commutative algebra we show how... Read More about Fitting ideals for finitely presented algebraic dynamical systems.

Primes in sequences associated to polynomials (after Lehmer) (2000)
Journal Article
Einsiedler, M., Everest, G., & Ward, T. (2000). Primes in sequences associated to polynomials (after Lehmer). LMS journal of computation and mathematics, 3, 125-139. https://doi.org/10.1112/s1461157000000255

In a paper of 1933, D.H. Lehmer continued Pierce's study of integral sequences associated to polynomials, generalizing the Mersenne sequence. He developed divisibility criteria, and suggested that prime apparition in these sequences -- or in closely... Read More about Primes in sequences associated to polynomials (after Lehmer).

Dynamical systems arising from elliptic curves (2000)
Journal Article
D'Ambros, P., Everest, G., Miles, R., & Ward, T. (2000). Dynamical systems arising from elliptic curves. Colloquium Mathematicum, 84/85(1), 95-107

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 continuous map is constructed on the local elliptic curve whose topolog... Read More about Dynamical systems arising from elliptic curves.

Additive cellular automata and volume growth (2000)
Journal Article
Ward, T. (2000). Additive cellular automata and volume growth. Entropy, 2(3), 142-167. https://doi.org/10.3390/e2030142

A class of dynamical systems associated to rings of S-integers in rational function fields is described. General results about these systems give a rather complete description of the well-known dynamics in one-dimensional additive cellular automata w... Read More about Additive cellular automata and volume growth.