Publications and preprints
- (with Bartosz Furmanek, Filip Oskar Lanecki, and Mateusz
Przybylski), Linear relations of finite length modules are
shift equivalent to maps, submitted. arXiv
- A generalization of the Brouwer plane translation theorem,
Qualitative Theory of Dynamical Systems 24, 18
(2025). journal
- Persistent homology of NBA lineups usage, Journal of
Sports Analytics, 11 (2025). journal
- (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, American Journal of Physics 93
(2025), no. 4, 336-343. journal
- (with Ethan Akin, Mateusz Przybylski, and Marian Mrozek),
A complete invariant for shift equivalence for Boolean
matrices and finite relations, Topology and its
Applications 357 (2024). journal
- (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