Publications and preprints
- A generalization of the Brouwer plane translation theorem,
submitted. arXiv
- Persistent homology of NBA lineups usage, Journal of
Sports Analytics, to appear.
- (with Lars English, David Jackson, David Richeson, Windsor
Morgan, Kaden Sigmon, George Vollmer, Emily Dunkel, and Jack
Zavrel), Solving introductory physics problems recursively
using iterated maps, submitted.
- (with Ethan Akin, Mateusz Przybylski, and Marian Mrozek),
A complete invariant for shift equivalence for Boolean
matrices and finite relations, submitted. arXiv
- (with Mateusz Przybylski and Marian Mrozek), The Szymczak
functor on the category of finite sets and finite relations,
Journal of Dynamics and Differential Equations
(2023). journal
- (with Thomas Wiseman), When do traffic reports make
traffic better?, Economics of Transportation
36 (2023). journal
- (with Olga Bernardi and Anna Florio), Is every
pseudo-orbit of some homeomorphism near an exact orbit of a
nearby homeomorphism?, Bollettino dell'Unione Matematica
Italiana 16 (2023), 153-162. journal
- Persistence of Morse decompositions over grid resolution
for maps and time series, Journal of Applied and
Computational Topology (2022). journal
- (with Olga Bernardi and Anna Florio), A Conley-type
Lyapunov function for the strong chain recurrent set, Topology
and its Applications 307 (2022). arXiv
- (with Olga Bernardi and Anna Florio), The generalized
recurrent set, explosions and Lyapunov functions, Journal
of Dynamics and Differential Equations 32 (2020), no.
4, 1797-1817. arXiv
- (with Ethan Akin), Chain recurrence and strong chain
recurrence on uniform spaces, in Dynamical Systems and
Random Processes, Contemporary Mathematics 736
(2019), 1-29. https://www.ams.org/books/conm/736/
- (with Ethan Akin), Varieties of mixing, Transactions
of the American Mathematical Society 372
(2019), no. 6, 4359-4390. arXiv
- Generalized recurrence and the nonwandering set for
products, Topology and
its Applications 219 (2017), 111--121. pdf
- The generalized recurrent set and strong chain recurrence,
Ergodic Theory and
Dynamical Systems, 38 (2018), no. 2, 788-800.
pdf
- (with Phil Everson (statistics), Rick Valelly (political
science), and Arjun Vishwanath (Swarthmore College '16)),
NOMINATE and American political history: a primer, Studies in American Political
Development, 30 (October 2016), no. 2, 97--115
- (with Fabio Drucker (Dickinson College '11) and David
Richeson) Entropy for symbolic dynamics with overlapping
alphabets, Journal of
Dynamics and Differential Equations, 28 (2016),
301--315. pdf
- (with Tarun Das, Keonhee Lee, and David
Richeson) Spectral decomposition for topologically
Anosov homeomorphisms on noncompact and non-metrizable
spaces, Topology and its
Applications 160 (2013), 149-158. pdf
- (with David
Richeson) Symbolic dynamics for nonhyperbolic systems,
Proceedings of the
American Mathematical Society 138 (2010),
4373-4385. pdf
- (with David
Richeson and Paul Winkler) Itineraries of rigid
rotations and diffeomorphisms of the circle, Theoretical Computer Science
411 (2010), no. 1, 259-265. pdf
- (with David
Richeson) Chain recurrence rates and topological
entropy, Topology and its
Applications 156 (2008), no. 2, 251-261. pdf
- (with David
Richeson) Positively expansive dynamical systems, Topology and its Applications
154 (2007), no. 3, 604-613. pdf
- (with Danielle Silverman (Swarthmore College '04)) Noting
the difference: musical scales and permutations. American
Mathematical Monthly 113 (2006), no. 7, 648-651. pdf
- (with David
Richeson) Positively expansive homeomorphisms of
compact spaces. International Journal of Mathematics
and Mathematical Sciences 54 (2004), 2907-2910.
pdf
- The square of a map, symbolic dynamics, and the Conley
index. Rocky Mountain Journal of Mathematics 37
(2007), no. 1, 327-342. pdf
- (with David
Richeson) Bounded homeomorphisms of the open
annulus. New York Journal of Mathematics 9
(2003), 55-68. pdf
- Symbolic dynamics from signed matrices. Discrete and
Continuous Dynamical Systems 11 (2004), nos. 2&3,
621-638. pdf
- Detection of renewal system factors via the Conley index.
Transactions of the American Mathematical Society 354
(2002), no. 12, 4953-4968. pdf
- (with David
Richeson) A fixed point theorem for bounded dynamical
systems. Illinois Journal of Mathematics 46 (2002),
no. 2, 491-495. pdf
Addendum, Illinois Journal of Mathematics
48 (2004), no. 3, 1079-1080. pdf
- Approval voting in subset elections, Economic Theory
15 (2000), no. 2, 477-483. pdf