Articles and other publications

This is a list of all my publications, including research articles, surveys, and a few non-mathematical items. Where permitted, there are links to the published article or the final pre-publication preprint in pdf via an institutional repository. Books and edited proceedings are on a separate page.

  1. Piotr Miska & Thomas Ward, Stirling numbers and periodic points, Acta Arithmeticato appear. arXiv:2102.07561

  2. Patrick Moss & Thomas Ward, Fibonacci along even powers is (almost) realizable, Fibonacci Quarterlyto appear. arxiv.org/abs/2011.13068

  3. Jakub Byszewski, Grzegorz Graff, Thomas Ward, Dold sequences, periodic points, and dynamicsBulletin London Mathematical Society, 53, Issue 5,1263-1298 (2021). arxiv.org/abs/2007.04031

  4. Thomas Ward, Verba volant, scripta manent, Journal of Humanistic Mathematics, 10, Issue 1, January 2020.

  5. Sawian Jaidee, Patrick Moss, Thomas Ward, Time-changes preserving zeta functionsProc. Amer. Math. Soc., 147, no. 10, 4425-4438 (2019). MR4002553; Zbl 07104962; arXiv:1809.09199

  6. Thomas Ward, Brilliant teachers and changing lives (guest editorial), The Scholar, 11 (2019).

  7. Robert Royals & Thomas Ward, Adelic perturbation of power series, appendix to `Dynamics of abelian varieties in positive characteristic' by Jakub Byszewski & Gunther Cornelissen, Journal of Algebra and Number Theory, 12, no. 9, 2185-2235 (2018). MR3894433; Zbl 1419.37092; arXiv:1802.07662

  8. Richard Miles & Thomas Ward, The dynamical zeta function for commuting automorphisms of
    zero-dimensional groups
    , Ergodic Theory and Dynamical Systems, 38, no. 4, 1564-1587 (2018). MR3789177; Zbl 1400.37027; arXiv:1504.04973

  9. Thomas Ward, Integer sequences and dynamicsElectron. Notes Discrete Math., 70, 83-88 (2018). Zbl 1460.11033

  10. Thomas Ward, Trip to the proof: Mixing, wine, and serendipity, Nieuw Archief voor Wiskunde, 5/18 (2017). MR3728210; arXiv:1808.04629

  11. Florian Luca & Thomas Ward, An elliptic sequence is not a sampled linear recurrence sequence, New York Journal of Mathematics, 22, 1319-1338 (2016). MR3576291; Zbl 1367.11020; arXiv:1610.08109

  12. Manfred Einsiedler & Thomas Ward, Diophantine problems and homogeneous dynamics, in Dynamics and Analytic Number Theory (Proceedings of the Durham Easter School 2014), LMS Lecture Note Series 437, 258-288, Cambridge Univ. Press (2016). MR3618791; Zbl 1412.37001

  13. Shaun Stevens, Thomas Ward and Stefanie Zegowitz, Halving dynamical systems, Contemp. Mathematics, 669, 285-298 (2016). MR3546673; Zbl 1392.37023; arXiv:1407.7787

  14. Richard Miles & Thomas Ward, Directional uniformities, periodic points, and entropy, Disc. Cont. Dynam. Sys., 20 (10), 3525-3545 (2015). MR3411538; Zbl 1347.37035; arXiv:1411.5295

  15. Richard Miles, Mathew Staines and Thomas Ward, Dynamical invariants for group automorphisms, Contemp. Mathematics, 631, 231-258 (2015). MR3330348; Zbl 1332.37021; arXiv:1306.6030

  16. Manfred Einsiedler & Thomas Ward, Homogeneous dynamics: a study guide, in Introduction to Modern Mathematics, 177-207, Advanced Lectures in Mathematics, 33 (2015). MR3445450; Zbl 1364.37007

  17. Jason Bell, Richard Miles and Thomas Ward, Towards a Polya-Carlson dichotomy for algebraic dynamics, Indagationes Mathematicae, N.S., 25(4), 652-668 (2014). MR3217030; Zbl 1319.37012; arXiv:1307.2369

  18. Apisit Pakapongpun and Thomas Ward, Orbits for products of maps, Thai Journal Math., 12(1), 33-44 (2014). MR3194906; Zbl 1390.30004; arXiv:1001.0314

  19. Stephan Baier, Sawian Jaidee, Shaun Stevens and Thomas Ward, Automorphisms with exotic orbit growth, Acta Arithmetica, 158(2), 173-197 (2013). MR3033948; Zbl 1291.37031; arXiv:1201.4503

  20. Thomas Ward, Obituary of Graham Everest, Bulletin London Mathematical Society, 45(5), 1110-1118 (2013). MR3105004; Zbl 1274.01098; arXiv:1306.0131

  21. Thomas Ward, Mathematics in the UK, Mathematics Today, 49, 105-107 (2013).

  22. Graham Everest and Thomas Ward, A repulsion motif in Diophantine equations, Amer. Math. Monthly,
    118, no. 7, 584-598 (2011). MR2826450; Zbl 1270.11058; arXiv:1005.0315 (winner of the Lester Ford Prize 2012)

  23. Anthony Flatters and Thomas Ward, A polynomial Zsigmondy theorem, Journal of Algebra, 343(1), 138-142 (2011). MR2824548; Zbl 1257.11028; arXiv:1002.4829

  24. Richard Miles and Thomas Ward, A directional uniformity of periodic point distribution and mixing, Disc. Cont. Dynam. Sys., 30, No. 4, 1181-1189 (2011). MR2812960; Zbl 1219.37019; arXiv:1001.0390

  25. Sawian Jaidee, Shaun Stevens and Thomas Ward, Mertens' theorem for toral automorphisms, Proc. Amer. Math. Soc., 139, 1819-1824 (2011). MR2763768; Zbl 05900782; arXiv:0801.2082

  26. Michael Baake and Thomas Ward, Planar dynamical systems with pure Lebesgue diffraction spectrum, Journal of Statistical Physics 140, No. 1, 90-102 (2010). MR2651440; Zbl 05760447; arXiv:1003.1536

  27. Richard Miles and Thomas Ward, A dichotomy in orbit-growth for commuting automorphisms, Journal London Math. Soc. 81, 715-726 (2010). MR2650793; Zbl 1193.37006; arXiv:0904.3492

  28. Graham Everest, Richard Miles, Shaun Stevens and Thomas Ward, Dirichlet series for finite combinatorial rank dynamics, Trans. Amer. Math. Soc., 362, 199-227 (2010). MR 2011c:37038; Zbl 1195.37014; arXiv:0705.1067

  29. Thomas Ward, Ergodic theory: interactions with combinatorics and number theory, in Encyclopedia of Complexity and Systems Science, Springer Verlag, 3040-3053 (2009).

  30. {Graham Everest, Christian Röttger & T. Ward, The continuing story of zeta, Math. Intelligencer, 31, No. 3, 13-17 (2009). MR2529995; Zbl 05607363; arXiv:math.NT/0610108

  31. Apisit Pakapongpun & Thomas Ward, Functorial orbit counting, Journal of Integer Sequences, 12,
    Article 09.2.4, 2009. MR 2010c:37044; Zbl 05577860; arXiv:0901.2646

  32. Thomas Ward and Yuki Yayama, Markov partitions reflecting the geometry of x2, x3, Disc. Cont. Dynam. Sys., 24, No. 2, 613-624 (2009). MR 2010c:22008; Zbl 1172.22004; arXiv:0801.1195

  33. Richard Miles & Thomas Ward, Orbit-counting for nilpotent group shifts, Proc. Amer. Math. Soc., 137, 1499-1507 (2009). MR 2010b:37011; Zbl 1160.22005; arXiv:0706.3630

  34. J. Phillips, T. Ward & P. Q. Montgomery, Variations in post-tonsillectomy haemorrhage rates are
    scale-invariant
    , The Laryngoscope, 118, No. 6, 1096-1098 (2008).

  35. Richard Miles & Thomas Ward, Uniform Periodic Point Growth in Entropy Rank One, Proc. Amer. Math. Soc., 136, 359-365 (2008). MR 2009g:37005; Zbl 1128.22004; arXiv:math.DS/0609510

  36. Graham Everest, Richard Miles, Shaun Stevens & Thomas Ward, Orbit-counting in non-hyperbolic dynamical systems, Journal für die Reine und Angew. Math., 608, 155-182, 2007. MR 2008k:37042; Zbl 1137.37006; arXiv:math.DS/0511569

  37. Graham Everest, Duncan Tamsett, Shaun Stevens & Thomas Ward, Primes generated by recurrence sequences, American Math. Monthly, 114, 417-431 (2007). MR 2008b:11019; Zbl 05353786; arXiv:math.NT/0412079

  38. Richard Miles & Thomas Ward, Periodic point data detects subdynamics in entropy rank one, Ergodic Theory and Dynamical Systems, 26, No. 6, 1913-1930 (2006). MR 2010h:37016; Zbl 1142.37012; arXiv:math.DS/0602665

  39. Richard Miles & Thomas Ward, Mixing actions of the rationals, Ergodic Theory and Dynamical
    Systems
    , 26, No. 6, 1905-1911 (2006). MR 2008c:37013; Zbl 1119.37005; arXiv:math.DS/0501142

  40. Thomas Ward, Mixing and tight polyhedra, Dynamics & Stochastics: Festschrift in Honor of M. S. Keane, IMS Lecture Notes - Monograph Series, 48, 168-174 (2006). MR2008d:22007; Zbl 1167.37304; arXiv:math.DS/0503569

  41. Graham Everest, Gerard Mclaren & Thomas Ward, Primitive divisors of elliptic divisibility sequences, Journal of Number Theory, 118, 71-89 (2006). MR2007a:11074; Zbl 1093.11038; arXiv:math.NT/0409540

  42. Graham Everest, Victoria Stangoe & Thomas Ward, Orbit counting with an isometric direction, Contemporary Mathematics, 385, 293-302 (2005). MR2006k:37046; Zbl 1115.37015; arXiv:math.DS/0407166

  43. Manfred Einsiedler & Thomas Ward, Isomorphism rigidity in entropy rank two, Israel Journal of
    Math.
    , 147, 269-284 (2005). MR2006m:28022; Zbl 1156.28311; arXiv:math.DS/0309161

  44. Manfred Einsiedler & Thomas Ward, Entropy geometry and disjointness for zero-dimensional algebraic
    actions
    , Journal für die Reine und Angew. Math., 584, 195-214 (2005). MR2006g:37004; Zbl 1198.37010; arXiv:math.DS/0211447

  45. Siddhartha Bhattacharya & Thomas Ward, Finite entropy characterizes topological rigidity, Ergodic Theory and Dynamical Systems, 25, 365-373 (2005). MR2006g:37003; Zbl 1076.37004; arXiv:math.DS/0302039

  46. T. Ward, Group automorphisms with few and with many periodic points, Proc. Amer. Math. Soc., 133, 91-96 (2005). MR2005f:37054; Zbl 1052.37017; arXiv:math.DS/0306292

  47. Tom Ward, Ergodentheorie: von Planetenbahnen zur Zahlentheorie, Forschungsbericht 2004 - Max-Planck-Institut für Mathematik.

  48. Manfred Einsiedler, Graham Everest & Thomas Ward, Periodic points for good reduction maps on curves, Geometriae Dedicata, 106, 29-41 (2004). MR2005e:11085; Zbl 1117.11035; arXiv:math.DS/0307089

  49. Manfred Einsiedler, Graham Everest & Thomas Ward, Morphic heights and periodic points, New York Number Theory Seminar 2003, Springer-Verlag (2004), 167-177. MR2004m:11102; Zbl 1048.11091; arXiv:math.NT/0204179

  50. Manfred Einsiedler & Thomas Ward, Asymptotic geometry of non-mixing sequences, Ergodic Theory
    and Dynamical Systems
    , 23, 75-85 (2003). MR2004c:37032; Zbl 1039.37001; arXiv:math.DS/0204174

  51. Graham Everest, Alf J. van der Poorten, Yash Puri & Thomas Ward, Integer sequences and periodic points, Journal of Integer Sequences, 5:Article 02.2.3 (2002). MR2003j:11014; Zbl 1026.11022

  52. Graham Everest, Peter Rogers & Thomas Ward, A higher-rank Mersenne problem, ANTS V Proceedings, Springer Lecture Notes in Computer Science, 2369, 95-107 (2002). MR2005d:11179; Zbl 1071.11072

  53. Yash Puri & Thomas Ward, Arithmetic and growth of periodic orbits, J. Integer Sequences 4, Article 01.2.1, 2001. MR2002i:11026; Zbl 1004.11013; arXiv:math.DS/9907003

  54. Manfred Einsiedler, Graham Everest & Thomas Ward, Primes in elliptic divisibility sequences, London Math. Soc. J. Computation and Mathematics, 4, 1-13 (2001). MR2002e:11181; Zbl 1037.11089

  55. Manfred Einsiedler, Graham Everest & Thomas Ward, Entropy and the canonical height, Journal of Number Theory91, 256-273 (2001). MR2003f:11092; Zbl 0994.11022; arXiv:math.NT/9911168

  56. Manfred Einsiedler, Douglas Lind, Richard Miles & Thomas Ward, Expansive subdynamics for algebraic Z^d-actions, Ergodic Theory and Dynamical Systems, 21, 1695-1729 (2001). MR2004c:37033; Zbl 1003.37003; arXiv:math.DS/0104261

  57. Graham Everest & Thomas Ward, Primes in divisibility sequences, Cubo matemática educacional, 3, No.2, 245-259 (2001). MR2003m:11043; Zbl 1082.11004

  58. Yash Puri & Thomas Ward, A dynamical property unique to the Lucas sequenceFibonacci Quarterly, 39.5, 398-402 (Nov. 2001). MR2002j:37020; Zbl 1018.37009; arXiv:math.NT/9907015

  59. Graham Everest & Thomas Ward, The canonical height of an algebraic point on an elliptic curveNew York Journal of Mathematics, 6, 133-142, (2000). MR2001j:11056; Zbl 0973.11062

  60. Thomas Ward, Additive cellular automata and volume growth, Entropy, 2, 142-167 (2000). MR2004h:37014; Zbl 999.68130

  61. Manfred Einsiedler, Graham Everest & Thomas Ward, Primes in sequences associated to polynomials (after Lehmer)London Math. Soc. J. Computation and Mathematics, 3, 125-139 (2000). MR2002a:11017; Zbl 1037.11014

  62. Paola D'Ambros, Graham Everest, Richard Miles & Thomas Ward, Dynamical systems arising from elliptic curves, Colloquium Mathematicum 84-85, No.1, 95-107 (2000). MR2001m:11093; Zbl 965.37020; arXiv:math.DS/9907014

  63. Manfred Einsiedler & Thomas Ward, Fitting ideals for finitely presented algebraic dynamical systems, Aequationes Mathematicae 60, No. 1-2, 57-71 (2000). MR2001j:22007; Zbl 972.22005; arXiv:math.DS/9907010

  64. Thomas Ward, Dynamical zeta functions for typical extension of full shiftsFinite Fields and Applications, 5, 232-239 (1999). MR2000m:11067; Zbl 956.37016arXiv:math.DS/9905175

  65. Thomas Ward, A family of Markov shifts (almost) classified by periodic points, J. Number Theory 71, 1-11 (1998). MR99j:11089; Zbl 935.28008

  66. Graham Everest & Thomas Ward, A dynamical interpretation of the global canonical height on an
    elliptic curve
    , Experimental Math. 7, 305-316 (1998). MR2000f:11079; Zbl 927.11009

  67. Thomas Ward, Almost all S-integer dynamical systems have many periodic points, Ergodic Theory and Dynamical Systems, 18, 471-486 (1998). MR99k:58152; Zbl 915.58081

  68. Gary Morris & Thomas Ward, Entropy bounds for endomorphisms commuting with K actionsIsrael Journal of Math., 106, 1-12 (1998). MR99m:28042; Zbl 931.22004

  69. Ward, Three results on mixing shapes, New York Journal of Mathematics 3A, 1-10 (1997). MR99e:28031; Zbl 909.28015

  70. Gary Morris & Thomas Ward, A note on mixing properties of invertible extensions, Acta Math. Univ. Comin., 66, 307-311 (1997). MR99j:28018; Zbl 924.28014

  71. Ward, An uncountable family of group automorphisms and a typical memberBull. London Math. Society 29, 577-584 (1997). MR98k:22028; Zbl 903.22001

  72. Vijay Chothi, Graham Everest & Thomas Ward, S-integer dynamical systems: periodic points, Journal für
    die Reine und Angew. Math
    .
     489, 99-132 (1997). MR99b:11089; Zbl 879.58037

  73. Vijay Chothi, Graham Everest & Thomas Ward, Oriented local entropies for expansive commuting automorphismsIsrael J. Math., 93, 281-301 (1996). MR97i:28012; Zbl 848.22013

  74. Thomas Ward, Rescaling of Markov shifts, Acta Math. Univ. Comin., 65, 149-157 (1996). MR98d:58053; Zbl 866.22006

  75. Thomas Ward, Additive relations in fields: an entropy approach, Journal of Number Theory, 53, 137-143 (1995). MR97d:11126; Zbl 841.11035

  76. Thomas Ward, Automorphisms of Z^d-subshifts of finite typeIndagationes Mathematicae, N.S. 5 (4), 495-504 (1994). MR97a:28014; Zbl 823.28007

  77. Thomas Ward, An algebraic obstruction to isomorphism of Markov shifts with group alphabets, Bull. London Math. Society, 25, 240-246 (1993). MR94g:22013; Zbl 792:22004

  78. Klaus Schmidt & Tom Ward, Mixing automorphisms of compact groups and a theorem of
    Schlickewei
    , Inventiones mathematicae, 111, 69-76 (1993). MR95c:22011; Zbl 824.28012

  79. Thomas Ward & Qing Zhang, The Abramov-Rokhlin entropy addition formula for amenable group
    actions
    , Monatshefte für Mathematik, 114, 317-329 (1992). MR93m:28023; Zbl 764.28014

  80. Thomas Ward, The Bernoulli property for expansive Z^2-actions on compact groups, Israel Journal of Mathematics, 79, 225-249 (1992). MR94k:28031; Zbl 789.28014

  81. Thomas Ward, Periodic points for expansive actions of Z^d on compact abelian groups, Bull. London Math. Soc., 24, 317-324 (1992). MR93h:22010; Zbl 760.22003

  82. Thomas Ward, Almost block independence for the three-dot Z^2 dynamical system, Israel Journal of Mathematics, 76, 237-256 (1991). MR93h:28032; Zbl 790.28013

  83. Douglas A. Lind, Klaus Schmidt & Thomas Ward, Mahler measure and entropy for commuting automorphisms of compact groups, Inventiones mathematicae, 101, 593-629 (1990). MR92j:22013; Zbl 774.22002

  84. Thomas Ward, Topological entropy and periodic points for Z^d actions on compact abelian groups with the descending chain condition, University of Warwick PhD Thesis (1989, awarded 1990).

  85. Douglas A. Lind & Thomas Ward, Automorphisms of solenoids and p-adic entropy, Ergodic Theory and Dynamical Systems8 (1988), 411-419. MR90a:28031; Zbl 634.22005

  86. Thomas Ward, The entropy of automorphisms of solenoidal groups, University of Warwick MSc Dissertation (1986, awarded 1987).