Invariant measures on stationary Bratteli diagrams S Bezuglyi, J Kwiatkowski, K Medynets, B Solomyak Ergodic Theory and Dynamical Systems 30 (4), 973-1007, 2010 | 73 | 2010 |

Full groups, flip conjugacy, and orbit equivalence of Cantor minimal systems S Bezuglyi, K Medynets arXiv preprint math/0611173, 2006 | 70 | 2006 |

Cantor aperiodic systems and Bratteli diagrams K Medynets Comptes Rendus Mathematique 342 (1), 43-46, 2006 | 66 | 2006 |

Aperiodic substitution systems and their Bratteli diagrams S Bezuglyi, J Kwiatkowski, K Medynets Ergodic Theory and Dynamical Systems 29 (1), 37-72, 2009 | 62 | 2009 |

Finite rank Bratteli diagrams: structure of invariant measures S Bezuglyi, J Kwiatkowski, K Medynets, B Solomyak Transactions of the American Mathematical Society 365 (5), 2637-2679, 2013 | 56 | 2013 |

On algebraic properties of topological full groups RI Grigorchuk, KS Medynets Sbornik: Mathematics 205 (6), 843, 2014 | 40 | 2014 |

Finite factor representations of Higman–Thompson groups A Dudko, K Medynets Groups, Geometry, and Dynamics 8 (2), 375-389, 2014 | 36 | 2014 |

Reconstruction of orbits of Cantor systems from full groups K Medynets Bulletin of the London Mathematical Society 43 (6), 1104-1110, 2011 | 32 | 2011 |

Topological full groups are locally embeddable into finite groups R Grigorchuk, K Medynets Preprint, http://arxiv. org/abs/math/1105.0719 v3, 2012 | 28 | 2012 |

The Rokhlin lemma for homeomorphisms of a Cantor set S Bezuglyi, A Dooley, K Medynets Proceedings of the American Mathematical Society 133 (10), 2957-2964, 2005 | 26 | 2005 |

Orbit equivalence rigidity of equicontinuous systems MI Cortez, K Medynets Journal of the London Mathematical Society 94 (2), 545-556, 2016 | 25 | 2016 |

On characters of inductive limits of symmetric groups A Dudko, K Medynets Journal of Functional Analysis 264 (7), 1565-1598, 2013 | 23 | 2013 |

Cantor systems and quasi‐isometry of groups K Medynets, R Sauer, A Thom Bulletin of the London Mathematical Society 49 (4), 709-724, 2017 | 13 | 2017 |

On approximation of homeomorphisms of a Cantor set K Medynets arXiv preprint math/0510032, 2005 | 13 | 2005 |

On invariant random subgroups of block-diagonal limits of symmetric groups A Dudko, K Medynets Proceedings of the American Mathematical Society 147 (6), 2481-2494, 2019 | 6 | 2019 |

Approximation in ergodic theory, Borel, and Cantor dynamics S Bezuglyi, J Kwiatkowski, K Medynets arXiv preprint math/0504490, 2005 | 6 | 2005 |

Smooth automorphisms and path-connectedness in Borel dynamics S Bezuglyi, K Medynets Indagationes Mathematicae 15 (4), 453-468, 2004 | 6 | 2004 |

Second-order ergodic theorem for self-similar tiling systems K Medynets, B Solomyak Ergodic Theory and Dynamical Systems 34 (6), 2018-2053, 2014 | 4 | 2014 |

On virtual conjugacy of generalized odometers MI Cortez, K Medynets arXiv preprint arXiv:1508.01766, 2015 | 3 | 2015 |

Toeplitz subshifts with trivial centralizers and positive entropy K Medynets, JP Talisse Involve, a Journal of Mathematics 12 (3), 395-410, 2018 | 1 | 2018 |