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. Florian Luca & Thomas Ward, On (almost) realizable subsequences of linearly recurrent sequences. https://arxiv.org/abs/2204.02711

  2. Patrick Moss & Thomas Ward, Fibonacci along even powers is (almost) realizableFibonacci Quarterly60, No. 1, 40-47 (2022). arxiv.org/abs/2011.13068

  3. Piotr Miska & Thomas Ward, Stirling numbers and periodic points, Acta Arithmetica, 201 (2021), 421-435. arXiv:2102.07561

  4. 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

  5. Tom Ward, Alan Ward obituary, Guardian Newspaper Other Lives, 28 December (2021).

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

  7. 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

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

  9. 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

  10. 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

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

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

  13. 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

  14. 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

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

  16. 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

  17. 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

  18. 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

  19. 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

  20. 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

  21. 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

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

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

  24. 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)

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

  26. 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

  27. 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

  28. 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

  29. 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

  30. 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

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

  32. {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

  33. 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

  34. 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

  35. 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

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

  37. 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

  38. 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

  39. 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

  40. 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

  41. 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

  42. 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

  43. 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

  44. 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

  45. 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

  46. 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

  47. 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

  48. 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

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

  50. 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

  51. 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

  52. 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

  53. 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

  54. 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

  55. 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

  56. 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

  57. 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

  58. 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

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

  60. 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

  61. 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

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

  63. 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

  64. 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

  65. 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

  66. 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

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

  68. 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

  69. 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

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

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

  72. 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

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

  74. 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

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

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

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

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

  79. 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

  80. 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

  81. 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

  82. 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

  83. 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

  84. 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

  85. 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

  86. 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).

  87. 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

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