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Ergodic Theory: with a view towards Number Theory

- M. Einsiedler, T. Ward
- Mathematics
- 23 September 2010

Motivation.- Ergodicity, Recurrence and Mixing.- Continued Fractions.- Invariant Measures for Continuous Maps.- Conditional Measures and Algebras.- Factors and Joinings.- Furstenberg's Proof of… Expand

Mahler measure and entropy for commuting automorphisms of compact groups

- D. Lind, K. Schmidt, T. Ward
- Mathematics
- 1990

SummaryWe compute the joint entropy ofd commuting automorphisms of a compact metrizable group. LetRd = ℤ[u1±1,...,[d1±1] be the ring of Laurent polynomials ind commuting variables, andM be… Expand

Additive Cellular Automata and Volume Growth

- T. Ward
- Mathematics, Computer Science
- Entropy
- 2000

TLDR

Heights of Polynomials and Entropy in Algebraic Dynamics

- G. Everest, T. Ward
- Mathematics
- 1999

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… Expand

S-integer dynamical systems: periodic points.

- T. Ward, G. Everest, V. Chothi
- Mathematics
- 1997

We associate via duality a dynamical system to each pair (RS,x), where RS is the ring of S-integers in an A-field k, and x is an element of RS\{0}. These dynamical systems include the circle doubling… Expand

Recurrence Sequences

- G. Everest, A. V. D. Poorten, I. Shparlinski, T. Ward
- Computer Science
- Mathematical surveys and monographs
- 2003

TLDR

Arithmetic and growth of periodic orbits

Two natural properties of integer sequences are introduced and studied. The first, exact realizability, is the property that the sequence coincides with the number of periodic points under some map.… Expand

Automorphisms of solenoids and p -adic entropy

We show that a full solenoid is locally the product of a euclidean component and p-adic components for each rational prime p. An automorphism of a solenoid preserves these components, and its… Expand

The Abramov-Rokhlin entropy addition formula for amenable group actions

- T. Ward, Qing Zhang
- Mathematics
- 1 September 1992

In this note we show that the entropy of a skew product action of a countable amenable group satisfies the classical formula of Abramov and Rokhlin.

A polynomial Zsigmondy theorem

- Anthony Flatters, T. Ward
- Mathematics
- 25 February 2010

We find an analogue of the primitive divisor results of Bang and Zsigmondy in polynomial rings.

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