Outputs (2)

Dynamical zeta functions for typical extensions of full shifts (1999)
Journal Article
Ward, T. (1999). Dynamical zeta functions for typical extensions of full shifts. Finite Fields and Their Applications, 5(3), 232-239. https://doi.org/10.1006/ffta.1999.0250

We consider a family of isometric extensions of the full shift on p symbols (for p a prime) parametrised by a probability space. Using Heath-Brown's work on the Artin conjecture, it is shown that for all but two primes p the set of limit points of th... Read More about Dynamical zeta functions for typical extensions of full shifts.

Heights of Polynomials and Entropy in Algebraic Dynamics (1999)
Book
Everest, G., & Ward, T. (1999). Heights of Polynomials and Entropy in Algebraic Dynamics. Springer Verlag

The main theme of the book is the theory of heights as they appear in various guises. This includes a large body of results on Mahler's measure of the height of a polynomial of which topic there is no book available. The genesis of the measure in a p... Read More about Heights of Polynomials and Entropy in Algebraic Dynamics.