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]