Thomas Ward | Academic Influence

Thomas Ward 's AcademicInfluence.com Rankings

Thomas Ward

Mathematics

#2500

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#3853

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Measure Theory

#2388

World Rank

#2858

Historical Rank

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Mathematics

Thomas Ward 's Degrees

Masters Mathematics University of Oxford
Bachelors Mathematics University of Oxford

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Why Is Thomas Ward Influential?

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According to Wikipedia, Thomas Ward is a British mathematician who works in ergodic theory and dynamical systems and its relations to number theory. Education Ward was the fourth child of the physicist Alan Howard Ward and Elizabeth Honor Ward, a physics teacher. He attended Woodlands Primary School in Lusaka, Zambia, Waterford Kamhlaba United World College in Swaziland, and the Thomas Hardye School in Dorchester, England. He studied mathematics at the University of Warwick from 1982, gaining an MSc with dissertation entitled "Automorphisms of solenoids and p-adic entropy" in 1986 and a PhD with dissertation entitled "Topological entropy and periodic points for actions on compact abelian groups with the Descending Chain Condition" in 1989, both under the supervision of Klaus Schmidt.

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Thomas Ward 's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Ergodic Theory: with a view towards Number Theory (2010) (533)
Recurrence Sequences (2003) (241)
Mahler measure and entropy for commuting automorphisms of compact groups (1990) (222)
Heights of Polynomials and Entropy in Algebraic Dynamics (1999) (222)
Automorphisms of solenoids and p-adic entropy (1988) (115)
S-integer dynamical systems: periodic points. (1997) (74)
Elliptic divisibility sequences (2003) (70)
The Abramov-Rokhlin entropy addition formula for amenable group actions (1992) (69)
Wafer-scale fabrication of self-catalyzed 1.7 eV GaAsP core-shell nanowire photocathode on silicon substrates. (2014) (59)
Primes in Elliptic Divisibility Sequences (2001) (58)
Primitive divisors of elliptic divisibility sequences (2004) (52)
DYNAMICAL SYSTEMS OF ALGEBRAIC ORIGIN (Progress in Mathematics) (1997) (50)
Arithmetic and growth of periodic orbits (1999) (49)
Design rules for dislocation filters (2014) (48)
Expansive subdynamics for algebraic \mathbb{Z}^d-actions (2001) (39)
Polarity-Driven Quasi-3-Fold Composition Symmetry of Self-Catalyzed III-V-V Ternary Core-Shell Nanowires. (2015) (37)
Orbit-counting in non-hyperbolic dynamical systems (2005) (30)
Functional Analysis, Spectral Theory, and Applications (2017) (30)
Additive Cellular Automata and Volume Growth (2000) (29)
Dirichlet series for finite combinatorial rank dynamics (2007) (28)
Primes Generated by Recurrence Sequences (2004) (28)
An Introduction To Number Theory (2005) (28)
Automorphisms of Zd-subshifts of finite type (1994) (27)
Arithmetic structure of recurrence sequences (2003) (27)
Almost all $S$-integer dynamical systems have many periodic points (1998) (26)
Orbit counting with an isometric direction (2004) (24)
The Canonical Height of an Algebraic Point on an Elliptic Curve (2000) (23)
Functorial orbit counting (2009) (22)
A DYNAMICAL PROPERTY UNIQUE TO THE LUCAS SEQUENCE FIBONNACI QUARTERLY (1999) (21)
Orbit-counting for nilpotent group shifts (2007) (20)
Algebraic and Topological Dynamics (2005) (20)
Towards a Pólya-Carlson dichotomy for algebraic dynamics (2013) (19)
An Uncountable Family of Group Automorphisms, and a Typical Member (1997) (19)
Non-abelian congruences between $L$-values of elliptic curves (2008) (19)
The Growth of CM Periods over False Tate Extensions (2010) (17)
Primes in divisibility sequences (2001) (16)
Dynamical systems arising from elliptic curves. (1999) (16)
INTEGER SEQUENCES AND PERIODIC POINTS (2002) (16)
Primes in Sequences Associated to Polynomials (After Lehmer) (2000) (15)
Entropy bounds for endomorphisms commuting withK actions (1998) (15)
Fitting ideals for finitely presented algebraic dynamical systems (1999) (14)
Group automorphisms with few and with many periodic points (2003) (14)
Entropy geometry and disjointness for zero-dimensional algebraic actions (2002) (14)
Dynamical numbers : interplay between dynamical systems and number theory : a special program, May 1-July 31, 2009 : international conference, July 20-24, 2009, Max Planck Institute for Mathematics, Bonn, Germany (2010) (12)
Dynamical Zeta Functions for Typical Extensions of Full Shifts (1999) (12)
Three results on mixing shapes (1997) (11)
Almost block independence for the three dot ℤ2 dynamical system (1991) (11)
Asymptotic geometry of non-mixing sequences (2002) (11)
Planar Dynamical Systems with Pure Lebesgue Diffraction Spectrum (2010) (11)
Periodic Points for Expansive Actions of Zd on Compact Abelian Groups (1992) (10)
A polynomial Zsigmondy theorem (2010) (10)
Mertens’ theorem for toral automorphisms (2008) (10)
The Continuing Story of Zeta (2006) (10)
Halving dynamical systems (2014) (10)
Finite entropy characterizes topological rigidity on connected groups (2003) (9)
A Dynamical Interpretation of the Global Canonical Height on an Elliptic Curve (1998) (9)
A Higher-Rank Mersenne Problem (2002) (9)
Periodic point data detects subdynamics in entropy rank one (2006) (9)
Statistics of matrix products in hyperbolic geometry (2011) (9)
An Algebraic Obstruction to Isomorphism of Markov Shifts with Group Alphabets (1993) (8)
The bernoulli property for expansive ℤ2 actions on compact groups (1992) (8)
Entropy and the Canonical Height (2001) (8)
Dynamics on abelian varieties in positive characteristic (2018) (7)
MORPHIC HEIGHTS AND PERIODIC POINTS (2002) (7)
A directional uniformity of periodic point distribution and mixing (2010) (7)
Orbits for products of maps (2010) (7)
Automorphisms with exotic orbit growth (2012) (6)
Periodic Points for Good Reduction Maps on Curves (2003) (6)
A Family of Markov Shifts (Almost) Classified by Periodic Points (1998) (6)
A dichotomy in orbit growth for commuting automorphisms (2009) (6)
Uniform periodic point growth in entropy rank one (2006) (6)
Functional analysis, spectral theory, and applications (graduate texts in mathematics) (2017) (5)
The entropy of automorphisms of solenoidal groups. (1986) (5)
Dynamical invariants for group automorphisms (2013) (5)
Recent Trends in Ergodic Theory and Dynamical Systems (2015) (4)
Dold sequences, periodic points, and dynamics (2020) (4)
Fibonacci along even powers is (almost) realizable. (2020) (4)
A Repulsion Motif in Diophantine Equations (2010) (4)
Institute for Mathematical Physics Expansive Subdynamics for Algebraic Z D {actions Expansive Subdynamics for Algebraic Z D -actions (2000) (3)
Time-changes preserving zeta functions (2018) (3)
Mixing actions of the rationals (2005) (3)
Congruences for convolutions of Hilbert modular forms (2012) (3)
Directional uniformities, periodic points, and entropy (2014) (3)
The dynamical zeta function for commuting automorphisms of zero-dimensional groups (2015) (3)
Canonical heights and entropy in arithmetic dynamics (1999) (3)
Integer sequences counting periodic points (2002) (2)
Design and Realization of Ohmic and Schottky Interfaces for Oxide Electronics (2021) (2)
Isomorphism rigidity in entropy rank two (2003) (2)
A note on mixing properties of invertible extensions. (1997) (2)
Rescaling of Markov shifts. (1996) (2)
An elliptic sequence is not a sampled linear recurrence sequence (2016) (2)
Diophantine Problems and Homogeneous Dynamics (2016) (2)
Markov partitions reflecting the geometry of x2,x3 (2008) (2)
Stirling numbers and periodic points (2021) (2)
Definitions and techniques (2003) (2)
Book Review: $p$-Adic deterministic and random dynamics (2005) (1)
Dynamics: Topology and Numbers (2020) (1)
Non-vanishing of Artin-twisted L-functions of elliptic curves (2012) (1)
Operations on power series and linear recurrence sequences (2003) (1)
Actions of Locally Compact Groups (2011) (1)
VALUATIONS AND HYPERBOLICITY IN DYNAMICS (2001) (1)
Geodesic Flow on Quotients of the Hyperbolic Plane (2011) (1)
Oriented local entropies for expansive actions by commuting automorphisms (1996) (1)
K1-congruences between L-values of elliptic curves (2009) (1)
Optimising the defect filter layer design for III/V QDs on Si for integrated laser applications (2015) (1)
Additive Relations in Fields: An Entropy Approach (1995) (1)
Homogeneous dynamics: a study guide (2015) (1)
Topological entropy and periodic points for Zd actions on compact abelian groups with the Descending Chain Condition (1989) (1)
Mixing and tight polyhedra (2005) (1)
Norms and Banach Spaces (2017) (0)
Sums of Two Squares (2020) (0)
Spectral Theory and Functional Calculus (2017) (0)
Finite fields and algebraic number fields (2003) (0)
Uniform Boundedness and the Open Mapping Theorem (2017) (0)
The Structure of the Group F × p (2020) (0)
Dynamics and numbers : A special programm: June 1 – July 31, 2014. International conference: July 21–25, 2014, Max-Planck Institute for Mathematics, Bonn, Germany (2016) (0)
Algebraic and topological dynamics : Algebraic and Topological Dynamics, May 1-July 31, 2004, Max-Planck-Institut für Mathematik, Bonn, Germany (2005) (0)
Locally Convex Vector Spaces (2017) (0)
Character sums and solutions of congruences (2003) (0)
Arithmetic and growth of orbits: what is possible? (1999) (0)
Dynamics and Numbers (2016) (0)
Review of "Ergodic Theory of Zd-actions", M. Pollicott and K. Schmidt (eds) (1996) (0)
Higher-Dimensional Dynamical Systems (1999) (0)
Conditional Measures and Algebras (2011) (0)
On (almost) realizable subsequences of linearly recurrent sequences (2022) (0)
Furstenberg's Proof of Szemerédi's Theorem (2011) (0)
Dynamical properties of commuting automorphisms 1 Graz Summer School 2007 (2007) (0)
More Dynamics on Quotients of the Hyperbolic Plane (2011) (0)
Ergodic Theory of ℤ d -Actions Ed. M. Pollicott and K. Schmidt. Proceedings of the Warwick Symposium 1993–94. L.M.S. Lecture Notes series, 228, C.U.P. (1996) (0)
Abstract Algebra: Ring Theory (2020) (0)
Primitive Divisors of Quadratic Polynomial Sequences (2004) (0)
SIX PROBLEMS IN ALGEBRAIC DYNAMICS (UPDATED DECEMBER 2006) (2006) (0)
Distribution modulo 1 and matrix exponential functions (2003) (0)
Zeros, multiplicity and growth (2003) (0)
Examples of Homoclinic Behaviour in Zero{entropy Systems (0)
Hilbert Spaces, Fourier Series, and Unitary Representations (2017) (0)
The Prime Number Theorem (2017) (0)
Integer sequences and dynamics (2018) (0)
Mixing, wine, and serendipity (2018) (0)
Distribution in finite fields and residue rings (2003) (0)
Cubic and Quartic Diophantine Equations (2020) (0)
Functorial Orbit Counting Apisit Pakapongpun and (2009) (0)
A Journey Through The Realm of Numbers (2020) (0)
Sums of Squares (2020) (0)
Sobolev Spaces and Dirichlet’s Boundary Problem (2017) (0)
Computer science and coding theory (2003) (0)
Ergodicity, Recurrence and Mixing (2011) (0)
Mahler’s Measure in Many Variables (1999) (0)
Factors and Joinings (2011) (0)
Self-Adjoint and Symmetric Operators (2017) (0)
Studying Squares Again (2020) (0)
Fe b 20 10 Polynomial Zsigmondy theorems (2014) (0)
Deposited in DRO : 16 October 2012 Version of attached le : Accepted Version Peer-review status of attached (0)
Pseudo-random number generators (2003) (0)
Sequences arising in graph theory and dynamics (2003) (0)
Compact Self-Adjoint Operators and Laplace Eigenfunctions (2017) (0)
Unitary Operators and Flows, Fourier Transform (2017) (0)
Lehmer, Mahler and Jensen (1999) (0)
Banach Algebras and the Spectrum (2017) (0)
Obituary : Graham Everest 1957-2010. (2013) (0)
David B. Ellis and Robert Ellis Automorphisms and equivalence relations in topological dynamics (Cambridge University Press, 2014), 281 pp, 978-1-107-63322-3 (paperback), £45/$70. (2015) (0)
A pr 2 00 1 ARITHMETIC AND GROWTH OF PERIODIC ORBITS (0)
INTEGER SEQUENCES AND PERIODIC (2002) (0)
Editorial statement Fisher information and Stam inequality on a finite group (2010) (0)
Introduction: Polynomial Equations (2020) (0)
Invariant Measures for Continuous Maps (2011) (0)
Non-vanishing of Non-abelian Twisted L-functions of Elliptic Curves (2012) (0)
Locally Compact Groups, Amenability, Property (T) (2017) (0)
Book review of: 'Ergodic theory of fibred systems and metric number theory' by Fritz Schweiger, New York: Clarendon Press, 2005. (1997) (0)
Applications to other sequences (2003) (0)
Growth of high-quality self-catalyzed core-shell GaAsP nanowires on Si substrates (2016) (0)

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