Home | Publications | Math Home

Publications of Tamar Ziegler

  • Distjointness of Mobius from horocycle flows, with Jean Bourgain and Peter Sarnak. [arxiv][abstract ][notes]
  • The inverse conjecture for the Gowers norm over finite fields in low characteristic, with Terence Tao. To appear Annals of Combinatorics. [arxiv][abstract, blog link]
  • An inverse theorem for the Gowers Us+1[N]-norm, with Ben Green, Terence Tao. To appear Annals of Math. [arxiv][abstract, blog link]
  • The shifted primes and the multidimensional Szemeredi and polynomial van der Waerden theorems, with Vitaly Bergelson, Alexander Leibman. C. R. Math. Acad. Sci. Paris 349 (2011), no. 3-4, 123-125. [arxiv][abstract]
  • An inverse theorem for the Gowers Us+1[N]-norm, with Ben Green, Terence Tao. Electronic Research Announcements 18 (2011), 69 - 90. [arxiv][abstract, blog link]
  • Multiple recurrence and convergence along the primes, with Trevor Wooley. To appear Amer. J. of Math. [arxiv][abstract, video]
  • An inverse theorem for the Gowers U4-norm, with Ben Green, Terence Tao. Glasg. Math. J. 53 (2011), no. 1, 1-50. [arxiv][abstract, blog link]
  • An inverse theorem for the uniformity seminorms associated with the action of Fp∞, with Vitaly Bergelson, Terence Tao. Geom. Funct. Anal. 19 (2010), No. 6, 1539-1596. [Journal][arxiv][abstract, blog links, video]
  • The inverse conjecture for the Gowers norm over finite fields via the correspondence principle, with Terence Tao. Analysis & PDE Vol. 3 (2010), No. 1, 1-20 . [Journal][arxiv][abstract, blog links, video]
  • The primes contain arbitrarily long polynomial progression, with Terence Tao. Acta Math. 201 (2008), no. 2, 213--305. [Journal][arxiv][abstract, blog links]
  • Universal Characteristic Factors and Furstenberg Averages. J. Amer. Math. Soc. 20 (2007), 53-97. [Journal][arxiv][abstract,video]
  • Nilfactors of Rm-actions and configurations in sets of positive upper density in Rm J. Anal. Math. 99 (2006), 249-266 . [Journal][arxiv][abstract]
  • A non-conventional ergodic theorem for a nilsystem. Ergodic Theory and Dynamical Systems 25 (2005) no. 4 1357-1370 . [Journal][arxiv] [abstract]
  • Non-conventional ergodic averages. PhD Thesis . [pdf]
  • An application of ergodic theory to a problem in geometric Ramsey theory. Israel Journal of Math. 114 (1999) 271-288. [Journal][abstract]