Vorobets, Yaroslav Associate Professor

academic article

• Grigorchuk, R., Kogan, R., & Vorobets, Y. (2018). Automatic Logarithm and Associated Measures
  
• Vorobets, Y. (2017). On the commutator group of the group of interval exchange transformations. Proceedings of the Steklov Institute of Mathematics.  297(1), 285-296.
  
• Benli, M., Grigorchuk, R., & Vorobets, Y. (2014). On growth of random groups of intermediate growth. Groups Geometry and Dynamics.  8(3), 643-667.
  
• Vorobets, Y. (2012). Notes on the Schreier graphs of the Grigorchuk group. ADVANCES IN QUANTUM COMPUTATION.  567, 221-248.
  
• Savchuk, D., & Vorobets, Y. (2011). Automata generating free products of groups of order 2. Journal of Algebra.  336(1), 53-66.
  
• STEINBERG, B., VOROBETS, M., & VOROBETS, Y. (2011). AUTOMATA OVER A BINARY ALPHABET GENERATING FREE GROUPS OF EVEN RANK. International Journal of Algebra and Computation.  21(01n02), 329-354.
  
• Vorobets, Y. (2011). Notes on the commutator group of the group of interval exchange transformations
  
• Banakh, T., Verbitsky, O., & Vorobets, Y. (2010). Supplement to 'Fermat's spiral and the line between yin and Yang'. Loci.  2.
  
• Vorobets, M., & Vorobets, Y. (2010). On a series of finite automata defining free transformation groups. Groups Geometry and Dynamics.  4(2), 377-405.
  
• Taras Banakh, .., Oleg Verbitsky, .., & Yaroslav Vorobets, .. (2010). Fermat’s Spiral and the Line Between Yin and Yang. American Mathematical Monthly.  117(9), 786-800.
  
• Vorobets, M., & Vorobets, Y. (2006). On a free group of transformations defined by an automaton. GEOMETRIAE DEDICATA.  124(1), 237-249.
  
• Vorobets, Y. (2005). Periodic geodesics on generic translation surfaces. ADVANCES IN QUANTUM COMPUTATION.  385, 205-258.
  
• Vorobets, Y. B. (2004). Actions of Finitely Generated Groups and Semigroups on a Plane by Means of Isometries. Mathematical Notes.  75(3-4), 489-512.
  
• Banakh, T., Verbitsky, O., & Vorobets, Y. (2000). A Ramsey treatment of symmetry. ELECTRONIC JOURNAL OF COMBINATORICS.  7(1 R), 1-25.
  
• Vorobets, Y. B. (1997). Billiards in rational polygons: Periodic trajectories, symmetries, and d-stability. Mathematical Notes.  62(1), 56-63.
  
• Vorobets, Y. B. (1997). Asymptotics of the spectrum of the Laplace-Beltrami operator on tori with Liouville and infra-Liouville metrics. Russian Mathematical Surveys.  52(2), 430-431.
  
• Vorobets, Y. B. (1997). Ergodicity of billiards in polygons. MATHEMATICS OF THE USSR-SBORNIK.  188(3), 389-434.
  
• Vorobets, Y. B. (1996). Planar structures and billiards in rational polygons: the Veech alternative. Russian Mathematical Surveys.  51(5), 779-817.
  
• Vorobets, Y. B. (1996). Planar structures and billiards in rational polygons. Russian Mathematical Surveys.  51(1), 177-178.
  
• Vorobets, Y. B. (1994). On the measure of the set of periodic points of the billiard. Mathematical Notes.  55(5), 455-460.
  
• Vorobets, Y. B., Gal'perin, G. A., & Stepin, A. M. (1992). Periodic billiard trajectories in polygons: generating mechanisms. Russian Mathematical Surveys.  47(3), 5-80.
  
• Vorobets, Y. B., Gal'perin, G. A., & Stepin, A. M. (1991). Periodic billiard trajectories in polygons. Russian Mathematical Surveys.  46(5), 204-205.