Items where Author is "Miles, Richard"

MILES, Richard (2020). An alternative route to the Mandelbrot set: connecting idiosyncratic digital representations for undergraduates. Teaching Mathematics and Its Applications.

MILES, Richard (2018). The taxicab locus of Apollonius: promoting exploratory routes to the punchline using rich undergraduate tasks. International Journal of Mathematical Education in Science and Technology, 1-9.

MILES, Richard and WARD, Thomas (2018). The dynamical zeta function for commuting automorphisms of zero-dimensional groups. Ergodic Theory and Dynamical Systems, 38 (4), 1564-1587.

MILES, Richard (2017). A dynamical zeta function for group actions. Monatshefte für Mathematik, 182 (3), 683-708.

MILES, Richard (2015). Orbit growth for algebraic flip systems. Ergodic Theory and Dynamical Systems, 35 (8), 2613-2631.

MILES, Richard and WARD, Thomas (2015). Directional uniformities, periodic points, and entropy. Discrete and Continuous Dynamical Systems - Series B, 20 (10), 3525-3545.

MILES, Richard (2015). A natural boundary for the dynamical zeta function for commuting group automorphisms. Proceedings of the American Mathematical Society (PROC), 143 (7), 2927-2933.

BELL, Jason, MILES, Richard and WARD, Thomas (2014). Towards a Pólya-Carlson dichotomy for algebraic dynamics. Indagationes Mathematicae, 25 (4), 652-668.

MILES, Richard (2013). Synchronization points and associated dynamical invariants. Transactions of the American Mathematical Society (TRAN), 365, 5503-5524.

MILES, Richard and WARD, Thomas (2010). A dichotomy in orbit-growth for commuting automorphisms. Journal of the London Mathematical Society, 81 (3), 715-726.

MILES, Richard and WARD, Thomas (2010). A directional uniformity of periodic point distribution and mixing. Discrete and Continuous Dynamical Systems - Series A, 30 (4), 1181-1189.

EVEREST, Graham, MILES, Richard, STEVENS, Shaun and WARD, Thomas (2010). Dirichlet series for finite combinatorial rank dynamics. Transactions of the American Mathematical Society (TRAN), 362 (1), 199-227.

MILES, Richard (2010). Finitely represented closed orbit subdynamics for commuting automorphisms. Ergodic Theory and Dynamical Systems, 30 (6), 1787-1802.

MILES, Richard and BJÖRKLUND, Michael (2009). Entropy range problems and actions of locally normal groups. Discrete and Continuous Dynamical Systems - Series A, 25 (3), 981-989.

MILES, Richard (2008). Homoclinic points of non-expansive automorphisms. Aequationes Mathematicae, 26 (1-2), 1-18.

MILES, Richard (2008). Periodic points of endomorphisms on solenoids and related groups. Bulletin of the London Mathematical Society, 40 (4), 696-704.

MILES, Richard and WARD, Thomas (2008). Orbit-counting for nilpotent group shifts. Proceedings of the American Mathematical Society (PROC), 137, 1499-1507.

MILES, Richard and WARD, Thomas (2008). Uniform periodic point growth in entropy rank one. Proceedings of the American Mathematical Society (PROC), 136 (1), 359-365.

MILES, Richard (2008). The entropy of algebraic actions of countable torsion-free abelian groups. Fundamenta Mathematicae, 201, 261-282.

EVEREST, Graham, MILES, Richard, STEVENS, Shaun and WARD, Thomas (2007). Orbit-counting in non-hyperbolic dynamical systems. Journal für die reine und angewandte Mathematik, 608, 155-182.

MILES, Richard (2007). Zeta functions for elements of entropy rank one actions. Ergodic Theory and Dynamical Systems, 27 (2), 567-582.

MILES, Richard and WARD, Thomas (2006). Mixing actions of the rationals. Ergodic Theory and Dynamical Systems, 26 (6), 1905-1911.

MILES, Richard and WARD, Thomas (2006). Periodic point data detects subdynamics in entropy rank one. Ergodic Theory and Dynamical Systems, 26 (6), 1913-1930.

MILES, Richard (2006). Expansive algebraic actions of countable abelian groups. Monatshefte für Mathematik, 147 (2), 155-164.

EINSIEDLER, Manfred, LIND, Douglas, MILES, Richard and WARD, Thomas (2001). Expansive subdynamics for algebraic Z^d-actions. Ergodic Theory and Dynamical Systems, 21 (6), 1695-1729.

MILES, Richard (2001). Dynamical systems arising from units in Krull rings. Aequationes Mathematicae, 61 (1-2), 113-127.

D'AMBROS, Paula, EVEREST, Graham, MILES, Richard and WARD, Thomas (2000). Dynamical systems arising from elliptic curves. Colloquium Mathematicum, 84-85 (1), 95-107.

MILES, Richard, STAINES, Matthew and WARD, Thomas (2015). Dynamical invariants for group automorphisms. In: BHATTACHARYA, Siddhartha, DAS, Tarun, GHOSH, Anish and SHAH, Riddhi, (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. Contemporary Mathematics (631). American Mathematical Society, 231-258.