From Thomas Ward's description: "[These papers] involve p-adic
methods in an essential
and unavoidable way. I can pretty much summarise the topic in one
sentence: what can you say about the dynamical
properties of a typical compact group automorphism?
Of course it then gets a little involved, in particular
with the fact that typical makes no sense here...
There are also a couple of ergodic problems where
one has to use ultrametric techniques, and a tiny
number of more conventional algebraic things."
A. Flatters & T. Ward; "Polynomial Zsigmondy theorems" (arXiv:1002.4829)
R. Miles & T. Ward; "A directional uniformity of periodic point distribution and mixing" (arXiv:1001.0390)
G. Everest, R. Miles, S. Stevens & T. Ward; "Dirichlet series for finite combinatorial rank dynamics", Trans. Amer. Math. Soc. 362, 199-227 (2010) (arXiv:0705.1067v2, DOI)
T. Ward & Y. Yayama; "Markov partitions reflecting the geometry of x2,x3", Discrete and Continuous Dynamical Systems 24, No. 2, 613-624 (2009) (arXiv:0801.1195, DOI)
R. Miles & T. Ward; "Uniform periodic point growth in entropy rank one", Proc. Amer. Math. Soc., 136, 359-365 (2008). (arXiv:math/0609510v1, DOI)
R. Miles & T. Ward; "Periodic point data detects subdynamics in entropy rank one" Ergodic Theory and Dynamical Systems, 26, No. 6, 1913-1930 (2006) (arXiv:math/0602665v1, DOI)
G. Everest, R. Miles, S. Stevens & T. Ward; "Orbit-counting in non-hyperbolic dynamical systems" Journal für die reine und angewandte Mathematik (Crelle's journal), 608, 155-182, 2007. (arXiv:math/0511569v1, DOI)
T. Ward; "Mixing and tight polyhedra" in Dynamics & Stochastics: Festschrift in Honor of M. S. Keane (Dee Denteneer, Frank den Hollander and Evgeny Verbitskiy, Editors) IMS Lecture Notes - Monograph Series, 48, 168-174, 2006. (bibtex, DOI)
G. Everest, V. Stangoe & T. Ward; "Orbit counting with an isometric direction" Contemporary Mathematics, 385, 293-302, 2005. (arXiv:math/0407166v1)
Manfred Einsiedler, Thomas Ward; "Asymptotic geometry of non-mixing sequences", Ergodic Theory and Dynamical Systems, 23(1), 75-85 (2003). (arXiv:math/0204174v1, DOI)
T. Ward; "Additive cellular automata and volume growth", Entropy, 2, 142-167, 2000. (DOI)
M. Einsiedler, D. Lind, R. Miles & T. Ward; "Expansive subdynamics for algebraic Zd-actions", Ergodic Theory and Dynamical Systems, 21 (2001), no. 6, 1695-1729. (arXiv:math/0104261v1, DOI)
T. Ward; "Dynamical zeta functions for typical extensions of full shifts", Finite Fields and their Applications 5, No.3, 1999, 232-239. (arXiv:math/9905175v1, DOI)
T. Ward; "Almost all S-integer dynamical systems have many periodic points", Ergodic Theory and Dynamical Systems 18, 1998, 471-486. (DOI)
T. Ward; "An uncountable family of group automorphisms, and a typical member", Bulletin London Mathematical Society 29, 1997, 577-584. (DOI)
V. Chothi, G. Everest & T. Ward; "S-integer dynamical systems: periodic points", Journal für die reine und angewandte Mathematik 489, 1997, 99-132. (DOI)
D.A. Lind & T. Ward; "Automorphisms of solenoids and p-adic entropy", Ergodic Theory and Dynamical Systems 8, 1988, 411-419. (DOI)
Book review: "p-adic deterministic and random dynamical systems" by Andrei Khrennikov and Marcus Nilsson, Mathematics and its Applications Vol. 574, Kluwer Academic Publishers (2004). Bulletin American Math. Society 43 (2006), 133-137.
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Last update: May 16, 2011 --------- created and maintained by Franz-Viktor Kuhlmann