Outputs (8)

Orbit counting with an isometric direction (2005)
Book Chapter
Everest, G., Stangoe, V., & Ward, T. (2005). Orbit counting with an isometric direction. In S. Kolyada, Y. Manin, & T. Ward (Eds.), Algebraic and topological dynamics (293-302). American Mathematical Society. https://doi.org/10.1090/conm/385/07202

Algebraic and Topological Dynamics (2005)
Conference Proceeding
Kolyada, S., Manin, Y., & Ward, T. (2005). Algebraic and Topological Dynamics.

Entropy geometry and disjointness for zero-dimensional algebraic actions (2005)
Journal Article
Einsiedler, M., & Ward, T. (2005). Entropy geometry and disjointness for zero-dimensional algebraic actions. Journal für die reine und angewandte Mathematik, 584, 195-214. https://doi.org/10.1515/crll.2005.2005.584.195

We show that many algebraic actions of higher-rank abelian groups on zero-dimensional compact abelian groups are mutually disjoint. The proofs exploit differences in the entropy geometry arising from subdynamics and a form of Abramov-Rokhlin formula... Read More about Entropy geometry and disjointness for zero-dimensional algebraic actions.

Finite entropy characterizes topological rigidity on connected groups (2005)
Journal Article
Bhattacharya, S., & Ward, T. (2005). Finite entropy characterizes topological rigidity on connected groups. Ergodic Theory and Dynamical Systems, 25(2), 365-373. https://doi.org/10.1017/s0143385704000501

Let X, Y be mixing connected algebraic dynamical systems with the Descending Chain Condition. We show that every equivariant continuous map from X to Y is affine (that is, Y is topologically rigid) if and only if the system Y has finite topological e... Read More about Finite entropy characterizes topological rigidity on connected groups.

An Introduction to Number Theory (2005)
Book
Everest, G., & Ward, T. (2005). An Introduction to Number Theory. Springer Verlag

An Introduction to Number Theory provides an introduction to the main streams of number theory. Starting with the unique factorization property of the integers, the theme of factorization is revisited several times throughout the book to illustrate h... Read More about An Introduction to Number Theory.

Ergodentheorie: von Planetenbahnen zur Zahlentheorie (2005)
Book
Ward, T. (Ed.). (2005). Ergodentheorie: von Planetenbahnen zur Zahlentheorie. Max Planck Gesellschaft

Die Theorie der dynamischen Systeme liefert eine wirkungsvolle Methode um unterschiedliche Probleme von Planetenbahnen bis hin zur klassischen Zahlentheorie zu untersuchen. Indem Einsiedler, Katok und Lindenstrauss in ihren neuesten Arbeiten Methoden... Read More about Ergodentheorie: von Planetenbahnen zur Zahlentheorie.

Group automorphisms with few and with many periodic points (2005)
Journal Article
Ward, T. (2005). Group automorphisms with few and with many periodic points. Proceedings of the American Mathematical Society, 133(01), 91-96. https://doi.org/10.1090/s0002-9939-04-07626-9

Isomorphism rigidity in entropy rank two (2005)
Journal Article
Einsiedler, M., & Ward, T. (2005). Isomorphism rigidity in entropy rank two. Israel Journal of Mathematics, 147(1), 269-284. https://doi.org/10.1007/bf02785368

We study the rigidity properties of a class of algebraic Z^3-actions with entropy rank two. For this class, conditions are found which force an invariant measure to be the Haar measure on an affine subset. This is applied to show isomorphism rigidity... Read More about Isomorphism rigidity in entropy rank two.