Papers and Preprints


  • The automorphism group of a shift of subquadratic growth.  pdf 
  • Complexity of short rectangles and periodicity.  pdf 
  • Rudolph and Alpern Lemmas for R^d actions.  pdf 
  • Nonexpansive Z^2-subdynamics and Nivat's conjecture.  pdf 
  • Giving a talk.  pdf 
  • Complexity of Nilsystems and systems lacking nilfactors.  pdf 
  • A point of view on Gowers uniformity norms.  pdf 
  • The polynomial multidimensional Szemeredi theorem along shifted primes.  pdf
  • Poincare recurrence and number theory: thirty years later.   pdf 
  • Nil-Bohr Sets of Integers.  pdf 
  • Nilsequences and a structure theorem for topological dynamical systems.  pdf 
  • Uniformity seminorms on l-infinity and applications.  pdf 
  • Analysis of two step nilsequences.  pdf
  • Ergodic methods in additive combinatorics.  pdf
  • Multiple recurrence and convergence for sequences related to the prime numbers.  pdf
  • Parallelepipeds, nilpotent groups, and Gowers norms.  pdf
  • From combinatorics to ergodic theory and back again.  pdf
  • Ergodic averages for independent polynomials and applications.  pdf
  • The Green-Tao Theorem on arithmetic progressions in the primes: an ergodic point of view.  pdf
  • 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.  pdf
  • Convergence of multiple ergodic averages for some commuting transformations.  pdf
  • Polynomial averages converge to the product of integrals.  pdf
  • Convergence of Polynomial ergodic averages.  pdf
  • Nonconventional ergodic averages and nilmanifolds.  pdf
  • Averaging along cubes. pdf
  • An Odd Furstenberg-Szemeredi Theorem and quasi-affine systems.  pdf
  • Diophantine numbers, dimension and Denjoy maps.  pdf
  • Convergence of Conze-Lesigne Averages.  pdf
  • A Generalization of Furstenberg's Diophantine result.  pdf
  • The conjugating map for commutative groups of circle diffeomorphisms. pdf
  • Iterated Spectra of Numbers --- Elementary, Dynamical, and Algebraic Approaches. pdf