We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
MOREIRA, JOEL and RICHTER, FLORIAN KARL 2017. A spectral refinement of the Bergelson–Host–Kra decomposition and new multiple ergodic theorems. Ergodic Theory and Dynamical Systems, p. 1.
Frantzikinakis, Nikos 2017. An Averaged Chowla and Elliott Conjecture Along Independent Polynomials. International Mathematics Research Notices,
Konieczny, Jakub 2017. Combinatorial properties of Nil–Bohr sets. Israel Journal of Mathematics, Vol. 220, Issue. 1, p. 333.
BERGELSON, VITALY and ROBERTSON, DONALD 2016. Polynomial multiple recurrence over rings of integers. Ergodic Theory and Dynamical Systems, Vol. 36, Issue. 05, p. 1354.
FRANTZIKINAKIS, NIKOS and HOST, BERNARD 2016. Weighted multiple ergodic averages and correlation sequences. Ergodic Theory and Dynamical Systems, p. 1.
BERGELSON, V. and LEIBMAN, A. 2016. Sets of large values of correlation functions for polynomial cubic configurations. Ergodic Theory and Dynamical Systems, p. 1.
Austin, Tim 2015. Pleasant extensions retaining algebraic structure, II. Journal d'Analyse Mathématique, Vol. 126, Issue. 1, p. 1.
FRANTZIKINAKIS, NIKOS and ZORIN-KRANICH, PAVEL 2015. Multiple recurrence for non-commuting transformations along rationally independent polynomials. Ergodic Theory and Dynamical Systems, Vol. 35, Issue. 02, p. 403.
LEIBMAN, A. 2015. Nilsequences, null-sequences, and multiple correlation sequences. Ergodic Theory and Dynamical Systems, Vol. 35, Issue. 01, p. 176.
Leibman, A. 2012. A canonical form and the distribution of values of generalized polynomials. Israel Journal of Mathematics, Vol. 188, Issue. 1, p. 131.
Green, Ben and Tao, Terence 2012. The quantitative behaviour of polynomial orbits on nilmanifolds. Annals of Mathematics, Vol. 175, Issue. 2, p. 465.
BERGELSON, V. LEIBMAN, A. and MOREIRA, C. G. 2012. From discrete- to continuous-time ergodic theorems. Ergodic Theory and Dynamical Systems, Vol. 32, Issue. 02, p. 383.
CHU, QING and FRANTZIKINAKIS, NIKOS 2012. Pointwise convergence for cubic and polynomial multiple ergodic averages of non-commuting transformations. Ergodic Theory and Dynamical Systems, Vol. 32, Issue. 03, p. 877.
LEIBMAN, A. 2010. Multiple polynomial correlation sequences and nilsequences. Ergodic Theory and Dynamical Systems, Vol. 30, Issue. 03, p. 841.
BURGIN, MARK and DUMAN, OKTAY 2008. STATISTICAL FUZZY CONVERGENCE. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, Vol. 16, Issue. 06, p. 879.
Bergelson, V. Leibman, A. and Lesigne, E. 2008. Intersective polynomials and the polynomial Szemerédi theorem. Advances in Mathematics, Vol. 219, Issue. 1, p. 369.
Bergelson, Vitaly and Leibman, Alexander 2007. Distribution of values of bounded generalized polynomials. Acta Mathematica, Vol. 198, Issue. 2, p. 155.
Generalizing the one-parameter case, we prove that the orbit of a point on a compact nilmanifold X under a polynomial action of $\mathbb{Z}^{d}$ by translations on X is uniformly distributed on the union of several sub-nilmanifolds of X. As a corollary we obtain the pointwise ergodic theorem for polynomial actions of $\mathbb{Z}^{d}$ by translations on a nilmanifold.
Email your librarian or administrator to recommend adding this journal to your organisation's collection.
