Papers and Preprints
Uniformity seminorms on
l-infinity
and applications. pdf
Analysis of two step
nilsequences. pdf
Ergodic methods in additive
combinatorics. pdf
These
are notes from a minicourse given at CRM in Montreal.
Multiple
recurrence and convergence for sequences related to the prime
numbers. dvi, pdf
Parallelepipeds, nilpotent
groups, and Gowers norms. dvi,
pdf
From combinatorics to
ergodic theory and back again. dvi, pdf
Proceedings of International Congress of
Mathematicians, Madrid 2006, volume III, 57-76.
Ergodic averages for
independent polynomials and applications. dvi, pdf
The Green-Tao Theorem on
arithmetic progressions in the primes: an ergodic point of view. dvi, pdf
Bull. Amer. Math. Soc., 43
(2006), 3--23.
This is a revised version
of the write up for the
Special Session on current events at the annual meeting of the AMS
Multiple recurrence and nilsequences. dvi, pdf
(joint with V. Bergelson
and B. Host, with an appendix by I. Rusza)
Inventiones Math., 160, 2, (2005) 261-303.
The original publication is
available
here
Convergence
of
multiple
ergodic averages for some commuting transformations. dvi, ps,
pdf
Polynomial
averages converge to the product of integrals. dvi, ps,
pdf
Convergence
of Polynomial ergodic averages. dvi,
ps, pdf
(joint with B.
Host) Isr. J. Math., 149 (2005) 1-19.
Nonconventional
ergodic averages and nilmanifolds. dvi, ps,
pdf
(joint with B.
Host) Annals of Math. 161, 1 (2005) 397-488.
Averaging
along cubes. dvi, ps, pdf
(joint with B.
Host) In Modern Dynamical Systems and Applications, Cambridge
University Press, 2004.
An
Odd Furstenberg-Szemeredi Theorem
and quasi-affine systems. dvi ,
ps, pdf
(joint with B.
Host) J. D'Analyse., 86 (2002), 183-220.
Diophantine numbers,
dimension
and
Denjoy maps. dvi , ps, pdf
(joint
with J. Schmeling) Acta Arith., 105 (2002), 323-340.
Convergence of Conze-Lesigne
Averages. dvi , ps, pdf
(joint with B.
Host) Erg. Th. & Dyn.
Sys., 21 (2001), 493-509.
A Generalization of
Furstenberg's Diophantine
result. ps, pdf
Proc.
Amer. Math. Soc., 127, 7 (1999) 1951-1956.
The conjugating map for
commutative
groups of circle diffeomorphisms. ps,
pdf
Isr.
J. Math., 93 (1996) 303-316. erratum
Iterated Spectra of Numbers
--- Elementary,
Dynamical, and Algebraic Approaches. dvi
, ps, pdf