Richard Miles

I am currently an Honorary Senior Research Associate at the University of East Anglia and teach at the Internationella Engelska Gymnasiet Södermalm in Stockholm.

My research focuses on ergodic theory and dynamical systems, especially algebraic systems and their connections to number theory.

Research Papers

A directional uniformity of periodic point distribution and mixing, with T. Ward, preprint.
Finitely represented closed orbit subdynamics for commuting automorphisms, to appear in Ergodic Theory and Dynamical Systems.
A dichotomy in orbit-growth for commuting automorphisms, with T. Ward, Journal of the London Mathematical Society, 81(3): 715-726, 2010.
Dirichlet series for finite combinatorial rank dynamics, with G. Everest, S. Stevens and T. Ward, Transactions of the American Mathematical Society, 362:199-227, 2010.
Entropy range problems and actions of locally normal groups, with M. Björklund, Discrete and Continuous Dynamical Systems - Series A, 25(3): 981-989, 2009.
Orbit-counting for nilpotent group shifts, with T. Ward, Proceedings of the American Mathematical Society, 137: 1499-1507, 2009.
The entropy of algebraic actions of countable torsion-free abelian groups, Fundamenta Mathematicae, 201: 261-282, 2008.
Homoclinic points of non-expansive automorphisms, Aequationes Mathematicae, 76(1-2): 1-18, 2008.
Periodic points of endomorphisms on solenoids and related groups, Bulletin of the London Mathematical Society, 40: 696-704, 2008.
Uniform periodic point growth in entropy rank one, with T. Ward, Proceedings of the American Mathematical Society, 136: 359-365, 2008.
Zeta functions for elements of entropy rank one actions, Ergodic Theory and Dynamical Systems, 27(2): 567-582, 2007.
Orbit-counting in non-hyperbolic dynamical systems, with G. Everest, S. Stevens and T. Ward, Journal für die reine und angewandte Mathematik, 608: 155-182, 2007.
Periodic point data detects subdynamics in entropy rank one, with T.Ward, Ergodic Theory and Dynamical Systems, 26(6): 1913-1930, 2006.
Mixing actions of the rationals, with T. Ward, Ergodic Theory and Dynamical Systems, 26(6): 1905-1911, 2006.
Expansive algebraic actions of countable abelian groups, Monatshefte für Mathematik, 147(2):155-164, 2006.
Expansive subdynamics for algebraic Z^d actions, with M. Einsiedler, D. Lind and T. Ward, Ergodic Theory and Dynamical Systems, 21(6):1695-1729, 2001.
Dynamical systems arising from units in Krull rings, Aequationes Mathematicae, 61(1-2):113-127, 2001.
Dynamical systems arising from elliptic curves, with P. D'Ambros, G. Everest and T. Ward, Colloquium Mathematicum, 84-85(1): 95-107, 2000.