### Educational Background

- Ph.D. Pennsylvania State University
- B.S. University of Buffalo, The State University of New York

### Research Interests

- Dynamical systems, ergodic theory, combinatorics. I am interested in thermodynamic formalism (especially of countable state Markov shifts exhibiting transience) and am also involved in projects related to multidimensional symbolic dynamics.

### Selected Publications

#### Papers

V. Cyr and O. Sarig: Spectral Gap and Transience for Ruelle Operators on Countable Markov Shifts, Communications in Mathematical Physics, 292 637-666 (2009).

V. Cyr: Countable Markov Shifts with Transient Potentials. Proc. London Math. Soc. 103 (6) 923-949, (2011).

V. Cyr: A Number Theoretic Question Arising in the Geometry of Plane Curves and in Billiard Dynamics, Proc. Amer. Math. Soc, 140, 3035-3040 (2012).

I. Benjamini, V. Cyr, E. Procaccia, R. Tessler: Harmonic Labelings of Graphs. Discr. Math., 313, 1726-1745 (2013).

V. Cyr and B. Kra: Nonexpansive Z2-subdynamics and Nivat's conjecture. To appear in Trans. Amer. Math. Soc. (2014).

V. Cyr and B. Kra: Complexity of short rectangles and periodicity. submitted (2013)