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)

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