Three results on mixing shapes
(1997)
Journal Article
Ward, T. (1997). Three results on mixing shapes. New York journal of mathematics, 3A, 1-10
Outputs (65)
A note on mixing properties of invertible extensions (1997)
Journal Article
Morris, G., & Ward, T. (1997). A note on mixing properties of invertible extensions. Acta mathematica Universitatis Comenianae (Tlačené vydanie), 66(2), 307-311
Book review: "Ergodic Theory of Z^d-actions" (1996)
Journal Article
Ward, T. (1996). Book review: "Ergodic Theory of Z^d-actions". Ergodic Theory and Dynamical Systems, 1105-1108. https://doi.org/10.1017/s014338570001021x
Rescaling of Markov shifts (1996)
Journal Article
Ward, T. (1996). Rescaling of Markov shifts. Acta mathematica Universitatis Comenianae (Tlačené vydanie), 65(1), 149-157
Oriented local entropies for expansive actions by commuting automorphisms (1996)
Journal Article
Chothi, V., Everest, G., & Ward, T. (1996). Oriented local entropies for expansive actions by commuting automorphisms. Israel Journal of Mathematics, 93(1), 281-301. https://doi.org/10.1007/bf02761107
Additive relations in fields: an entropy approach (1995)
Journal Article
Ward, T. (1995). Additive relations in fields: an entropy approach. Journal of Number Theory, 53(1), 137-143. https://doi.org/10.1006/jnth.1995.1082
Automorphisms of Z^d-subshifts of finite type (1994)
Journal Article
Ward, T. (1994). Automorphisms of Z^d-subshifts of finite type. Indagationes Mathematicae, 5(4), 495-504. https://doi.org/10.1016/0019-3577%2894%2990020-5Let (S,s) be a Z^d-subshift of finite type. Under a strong irreducibility condition (strong specification), we show that Aut(S) contains any finite group. For Z^d-subshifts of finite type without strong specification, examples show that topological m... Read More about Automorphisms of Z^d-subshifts of finite type.
Mixing automorphisms of compact groups and a theorem of Schlickewei (1993)
Journal Article
Schmidt, K., & Ward, T. (1993). Mixing automorphisms of compact groups and a theorem of Schlickewei. Inventiones Mathematicae, 111(1), 69-76. https://doi.org/10.1007/bf01231280We prove that every mixing Z^d-action by automorphisms of a compact, connected, abelian group is mixing of all orders.
An algebraic obstruction to isomorphism of Markov shifts with group alphabets (1993)
Journal Article
Ward, T. (1993). An algebraic obstruction to isomorphism of Markov shifts with group alphabets. Bulletin of the London Mathematical Society, 25(3), 240-246. https://doi.org/10.1112/blms/25.3.240
The Bernoulli property for expansive Z^2 actions on compact groups (1992)
Journal Article
Ward, T. (1992). The Bernoulli property for expansive Z^2 actions on compact groups. Israel Journal of Mathematics, 79(2-3), 225-249. https://doi.org/10.1007/bf02808217We show that an expansive Z^2 action on a compact abelian group is measurably isomorphic to a two-dimensional Bernoulli shift if and only if it has completely positive entropy. The proof uses the algebraic structure of such actions described by Kitch... Read More about The Bernoulli property for expansive Z^2 actions on compact groups.