Papers and preprints:

  • Notes on the commutator group of the group of interval exchange transformations

  • Notes on the Schreier graphs of the Grigorchuk group

  • Automata generating free products of groups of order 2 (with D. Savchuk)

  • On a substitution subshift related to the Grigorchuk group

  • On stability of periodic billiard orbits in polyhedra

  • Automata over a binary alphabet generating free groups of even rank (with B. Steinberg and M. Vorobets)

  • On a series of finite automata defining free transformation groups (with M. Vorobets)

  • On a free group of transformations defined by an automaton (with M. Vorobets)

  • Periodic geodesics on generic translation surfaces

  • Periodic geodesics on translation surfaces

  • On the uniform distribution of orbits of finitely generated groups and semigroups of plane isometries [scanned]

  • Isospectrality and projective geometries (with A. Stepin)

  • Billiards in rational polygons: periodic trajectories, symmetries, and d-stability [scanned]

  • Ergodicity of billiards in polygons [scanned]

  • Planar structures and billiards in rational polygons: the Veech alternative [scanned]

  • On the measure of the set of periodic points of the billiard [scanned]