Outputs (65)

The Abramov-Rokhlin entropy addition formula for amenable group actions (1992)
Journal Article
Ward, T., & Zhang, Q. (1992). The Abramov-Rokhlin entropy addition formula for amenable group actions. Monatshefte für Mathematik, 114(3-4), 317-329. https://doi.org/10.1007/bf01299386

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.

Periodic points for expansive actions of Z^d on compact abelian groups (1992)
Journal Article
Ward, T. (1992). Periodic points for expansive actions of Z^d on compact abelian groups. Bulletin of the London Mathematical Society, 24(4), 317-324. https://doi.org/10.1112/blms/24.4.317

In this note we show that the periodic points of an expansive Z^d action on a compact abelian group are uniformly distributed with respect to Haar measure if the action has completely positive entropy. In the general expansive case, we show that any... Read More about Periodic points for expansive actions of Z^d on compact abelian groups.

Almost block independence for the three dot Z^2 dynamical system (1991)
Journal Article
Ward, T. (1991). Almost block independence for the three dot Z^2 dynamical system. Israel Journal of Mathematics, 76(1-2), 237-256. https://doi.org/10.1007/bf02782855

Mahler measure and entropy for commuting automorphisms of compact groups (1990)
Journal Article
Lind, D., Schmidt, K., & Ward, T. (1990). Mahler measure and entropy for commuting automorphisms of compact groups. Inventiones Mathematicae, 101(1), 593-629. https://doi.org/10.1007/bf01231517

Automorphisms of solenoids and p-adic entropy (1988)
Journal Article
Lind, D., & Ward, T. (1988). Automorphisms of solenoids and p-adic entropy. Ergodic Theory and Dynamical Systems, 8(3), 411-419. https://doi.org/10.1017/s0143385700004545

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 topological entropy is shown to be the sum of the euclidea... Read More about Automorphisms of solenoids and p-adic entropy.