Papers
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Fiber bundles with degenerations and their applications to computing fundamental groups,
Geometriae Dedicata
48 (1993), no. 1, 93-126
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Some monodromy representations of generalized braid groups,
Communicatins in Mathematical Physics
164 (1994), no. 2, 293-304.
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Multiple recurrence theorem for nilpotent group actions
Geometric and Functional Analysis
4 (1994), no. 6, 648-659.
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Jordan structures of strictly lower triangular completions of nilpotent matrices
(joint with M. Krupnik),
Integral Equations and Operator Theory
23 (1995), no. 4, 459-471.
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Polynomial extensions of van der Waerden's and Szemeredi's theorems
(joint with V. Bergelson),
Journal of AMS
9 (1996), 725-753
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Polynomial sequences in groups
(corrected),
Journal of Algebra
201 (1998), 189-206
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Multiple recurrence theorem
for measure preserving actions of a nilpotent group,
Geometric and Functional Analysis
8 (1998), no. 5, 853-931
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Set-polynomials and polynomial extension of the Hales-Jewett theorem
(joint with V. Bergelson),
Annals of Mathematics
150 (1999), 33-75
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The structure of unitary actions of finitely generated nilpotent groups,
Ergodic Theory and Dynamical Systems
20 (2000), 809-820
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Krengel-type theorems for nilpotent groups
(joint with V. Bergelson, I. Kornfeld and B. Mityagin),
Ergodic Theory and Dynamical Systems
21 (2001), 1359-1369
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Polynomial mappings of groups
(corrected version),
Israel Journal of Matematics
129 (2002), 29-60
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A nilpotent Roth theorem
(joint with V. Bergelson),
Inventiones Mathematicae
147 (2002), 429-470
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Lower bounds for ergodic averages,
Ergodic Theory and Dynamical Systems
22 (2002), 863-872
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Topological multiple recurrence
for polynomial configurations in nilpotent groups
(joint with V. Bergelson),
Advances in Mathematics
175 (2003), no. 2, 271-296
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Failure of Roth theorem for solvable groups of exponential growth
(joint with V. Bergelson),
Ergodic Theory and Dynamical Systems
24 (2004), no. 1, 45-53
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Polynomial Szemeredi theorem
for countable modules over integral domains and finite fields
(joint with V. Bergelson and R. McCutcheon),
Journal d'Analyse Mathematique
95 (2005), 243-296
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Pointwise convergence of ergodic averages
for polynomial sequences of translations on a nilmanifold,
Ergodic Theory and Dynamical Systems
25 (2005), no. 1, 201-113
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Pointwise convergence of ergodic averages
for polynomial actions of Zd
by translations on a nilmanifold,
Ergodic Theory and Dynamical Systems
25 (2005), no. 1, 215-225
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Convergence of multiple ergodic averages
along polynomials of several variables,
Israel Journal of Mathematics
146 (2005), 303-315
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Host-Kra and Ziegler factors
and convergence of multiple averages,
Handbook of Dynamical Systems,
vol. 1B, B. Hasselblatt and A. Katok, eds., Elsevier (2005), 841-853
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Rational sub-nilmanifolds of a compact nilmanifold,
Ergodic Theory and Dynamical Systems
26 (2006), 787-798
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Distribution of values of bounded generalized polynomials
(joint with V. Bergelson),
Acta Mathematica
198 (2007), 155-230
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Orbits on a nilmanifold
under the action of a polynomial sequence of translations,
Ergodic Theory and Dymanical Systems
27 (2007), 1239-1252
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Weyl complexity of a system of polynomials
and constructions in combinatorial number theory
(joint with V. Bergelson and E. Lesigne),
Jounal D'Analyse Mathematique
103 (2007), 47-92
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Intersective polynomials and the polynomial Szemeredi theorem
(joint with V. Bergelson and E. Lesigne),
Advances in Mathematics
219 (2008), no. 1, 369-388
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Ergodic components of an extension by a nilmanifold,
Illinois Journal of Mathematics
103 (2008), 957-965
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Orbit of the diagonal in the power of a nilmanifold,
Transactions of AMS
362 (2010), 1619-1658
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Multiple polynomial correlation sequences and nilsequences,
Ergodic Theory and Dynamical Systems
30 (2010), 841-854
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A canonical form and the distribution of values of generalized polynomials,
Israel Journal of Mathematics,
188 (2012), 131-176.
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From discrete- to continuous-time ergodic theorems
(joint with V. Bergelson and C. G. Moreira),
Ergodic Theory and Dynamical Systems,
32 (2012), no. 2, 383-426.
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Nilsequences, null-sequences, and multiple correlation sequences (corrected),
Ergodic Theory and Dynamical Systems
35 (2015), no. 1, 176-191.
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Cubic averages and large intersections
(joint with V. Bergelson),
Recent trends in ergodic theory and dynamical systems, 5-19,
Contemporary Mathematics, 631, Amer. Math. Soc., Providence, RI, 2015.
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Joint ergodicity along generalized linear functions
(joint with V.~Bergelson and Y.~Son),
Ergodic Theory and Dynamical Systems
36 (2016), no. 7, 2044-2075.
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A Weyl-type equidistribution theorem in finite characteristic
(joint with V.~Bergelson),
Advances in Mathematics
289 (2016), 928-950.
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Sets of large values of correlation function for polynomial cubic configurations
(joint with V.~Bergelson),
Ergodic Theory and Dynamical Systems.
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IPr* recurrence and nilsystems
(joint with V.~Bergelson).