Outputs (2)

Homogeneous dynamics: a study guide (2015)
Book Chapter
Einsiedler, M., & Ward, T. (2015). Homogeneous dynamics: a study guide. In S. Cheng, L. Ji, Y. Poon, J. Xiao, L. Yang, & S. Yau (Eds.), Introduction to modern mathematics (171-202). International Press of Boston

These notes give a summary of the course ‘Ergodic theory and Applications in Number Theory’ at the Summer School in Modern Mathematics at the Tsinghua University in Beijing, June 23–27 (2013). As in the Summer school, we will need to be brief at time... Read More about Homogeneous dynamics: a study guide.

Dynamical invariants for group automorphisms (2015)
Book Chapter
Miles, R., Staines, M., & Ward, T. (2015). Dynamical invariants for group automorphisms. In S. Bhattacharya, T. Das, A. Ghosh, & R. Shah (Eds.), Recent trends in ergodic theory and dynamical systems : international conference in honor of S.G. Dani's 65th birthday, December 26-29, 2012, Vadodara, India (231-258). American Mathematical Society. https://doi.org/10.1090/conm/631/12606

We discuss some of the issues that arise in attempts to classify automorphisms of compact abelian groups from a dynamical point of view. In the particular case of automorphisms of one-dimensional solenoids, a complete description is given and the pro... Read More about Dynamical invariants for group automorphisms.