Preprints

  • Finite Factor Representations of Higman-Thompson's groups (jointly with A. Dudko), submitted (2012). download pdf.
  • On Algebraic Properties of Full Groups (jointly with R. Grigorchuk). download pdf.

Publications

    • Second Order Ergodic Theorem for Self-Similar Tiling Systems (jointly with B. Solomyak), to appear in Ergodic Theory and Dynamical Systems (2013). download pdf.
    • On Characters of Inductive Limits of Symmetric Groups (jointly with A. Dudko),  Journal of Functional Analysis, published online January 2013. download pdf.
    • Finite Rank Bratteli diagrams: Structure of Invariant Measures (jointly with S. Bezuglyi, J. Kwiatkowski, and B. Solomyak) Transactions of the AMS, published online Nov. 2012. download pdf.
    • Reconstruction of Orbits of Cantor Systems from Full Groups, Bulletin of the London Mathematical Society Volume 43 Part 6 (2011), 1104–1110. This file slightly differs from the published version. download pdf
    • Invariant measures on stationary Bratteli diagrams (jointly with S. Bezuglyi, J. Kwiatkowski, and B. Solomyak). Ergodic Theory and Dynamical Systems 30 (2010), no. 4, 973-1007. download pdf
    • Aperiodic substitution systems and their Bratteli diagrams (jointly with S. Bezuglyi and J. Kwiatkowski). Ergodic Theory and Dynamical Systems 29 (2009), no. 1, 37–72. download pdf
    • Full groups, flip conjugacy, and orbit equivalence of Cantor minimal systems (jointly with S. Bezuglyi). Colloqium Mathematicum 110 (2008), no. 2, 409–429. download pdf.
    • On approximation of homeomorphisms of a Cantor set. Fundamenta Mathematicae 194 (2007), no. 1, 1–13. download pdf.
    • Cantor aperiodic systems and Bratteli diagrams. Comptes Rendus Mathematique 342 (2006), no. 1, 43–46. download pdf.
    • Approximation in ergodic theory, Borel, and Cantor dynamics (jointly with S. Bezuglyi and J. Kwiatkowski). Algebraic and topological dynamics, 39–64, Contemporary Mathematics, 385. download pdf.
    • The Rokhlin lemma for homeomorphisms of a Cantor set (jointly with S. Bezuglyi and A. H. Dooley). Proceedings of the American Mathematical Society 133 (2005), no. 10, 2957–2964.
    • Smooth automorphisms and path-connectedness in Borel dynamics (jointly with S. Bezuglyi). Indagationes Mathematicae 15 (2004), no. 4, 453–468.

    Presentations

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