Van Cyr

Address: 361 Olin
                Department of Mathematics
                Bucknell University
                Lewisburg, PA 17837


I am an Assistant Professor in the Department of Mathematics at Bucknell University. I work in dynamical systems and am currently interested in thermodynamic formalism as well as problems related to multidimensional symbolic dynamics. My CV is available here.


In Spring 2018 I am teaching Math 212 (Differential Equations) and Math 303 (Probability). Information for these courses is available on Moodle.


  1. Spectral Gap and Transience for Ruelle Operators on Countable Markov Shifts with Omri Sarig. Commun. Math. Phys. 292, 637-666 (2009).
  2. Countable Markov Shifts with Transient Potentials Proc. London Math. Soc. 103(6), 923-949 (2011).
  3. A Number Theoretic Question Arising in the Geometry of Plane Curves and Billiard Dynamics Proc. Amer. Math. Soc. 140, 3035-3040 (2012).
  4. Nonexpansive Z^2-subdynamics and Nivat's conjecture with Bryna Kra, Trans. Amer. Math. Soc. 367, 6487-6537 (2015).
  5. Harmonic Labeling of Graphs with Itai Benjamini, Eviatar Procaccia, and Ran Tessler. Discr. Math. 313, 1726-1745 (2013).
  6. Complexity of short rectangles and periodicity with Bryna Kra, European J. Combin. 52, 146-173 (2016).
  7. The automorphism group of a shift of subquadratic growth with Bryna Kra, Proc. Amer. Math. Soc. 144, no. 2, 613-621 (2016).
  8. Complexity and directional entropy in two dimensions with Ryan Broderick and Bryna Kra, Israel J. Math. 215, 135-162 (2016).
  9. The automorphism group of a shift of linear growth: beyond transitivity with Bryna Kra, Forum of Mathematics, Sigma, 3, e5, doi: 10.1017/fms.2015.3 (2015)
  10. Counting generic measures for a subshift of linear growth with Bryna Kra, To appear in J. Eur. Math. Soc.
  11. The automorphism group of a minimal shift of stretched exponential growth with Bryna Kra, J. Mod. Dyn. 10, 483-495 (2016).
  12. Free ergodic Z^2-systems and complexity with Bryna Kra, Proc. Amer. Math. Soc. 145, no. 3, 1163-1173 (2017).
  13. The spacetime of a shift automorphism with John Franks and Bryna Kra, To appear in Trans. Amer. Math. Soc.
  14. Distortion and the automorphism group of a shift with John Franks, Bryna Kra, and Samuel Petite, To appear in J. Mod. Dyn.
  15. Positive entropy equilibrium states with Vaughn Climenhaga, submitted.
  16. The automorphism group of a shift of slow growth is amenable with Bryna Kra, submitted.