PUBLICATIONS & PREPRINTS
A Hardy field extension of Szemeredi's theorem.
arXiv
(joint with M. Wierdl)
Submitted
Powers of sequences and recurrence.
arXiv
(joint with E. Lesigne, M. Wierdl)
Submitted
Ergodic Theory: Recurrence.
arXiv
(joint with R. McCutcheon)
To appear in the Encyclopedia of Complexity and System Science
Multiple ergodic averages for three polynomials and applications.
arXiv
To appear in the Transactions of the American Mathematical Society
Multiple recurrence and convergence for sequences related
to the prime numbers.
arXiv
(joint with B. Host and
B. Kra),
Crelles Journal (J. Reine Angew. Math.), 611, (2007), 131-144
Uniformity in the polynomial Wiener-Wintner theorem.
dvi,
ps,
pdf
Ergodic Theory & Dynamical Systems, 26, Issue 4, (2006), 1061-1071
Ergodic averages for independent polynomials and applications.
dvi,
ps,
pdf
(joint with
B. Kra),
Journal of the London Mathematical Society, 74, Issue 1, (2006), 131-142
On the degree of regularity of generalised van der Waerden triples.
dvi,
ps,
pdf
Sets of k-recurrence but not (k+1)-recurrence.
dvi,
ps,
pdf
(joint with
E. Lesigne, M. Wierdl), Annales de
l'Institut Fourier, 56, Issue 4, (2006), 839-849
Convergence of multiple ergodic averages for some commuting transformations.
dvi,
ps,
pdf
(joint with
B. Kra), Ergodic Theory & Dynamical Systems, 25, Issue 3, (2005), 799-809
Polynomial averages converge to the product of integrals.
dvi,
ps,
pdf
(joint with
B. Kra), Israel Journal of Mathematics, 148, (2005), 267-276
The structure of strongly stationary systems.
dvi,
ps,
pdf
Journal d'Analyse Mathematique, 93, (2004), 359-388
Additive functions modulo a countable subgroup of the reals.
ps,
pdf
Colloquium Mathematicum, 95, Issue 1, (2003), 117-122
