Items where Author is "Miles, Richard"
Number of items: 28.
Public
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
(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, 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.
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.
None
MILES, Richard
(2017).
A dynamical zeta function for group actions.
Monatshefte für Mathematik, 182 (3), 683-708.
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.