Higher order Fourier analysis of multiplicative functions and applications N Frantzikinakis, B Host Journal of the American Mathematical Society 30 (1), 67-157, 2017 | 89* | 2017 |
The logarithmic Sarnak conjecture for ergodic weights N Frantzikinakis, B Host Annals of Mathematics 187 (3), 869-931, 2018 | 76 | 2018 |
Polynomial averages converge to the product of integrals N Frantzikinakis, B Kra Israel Journal of Mathematics 148, 267-276, 2005 | 76 | 2005 |
Multiple recurrence and convergence for sequences related to the prime numbers N Frantzikinakis, B Host, B Kra Walter de Gruyter 2007 (611), 131-144, 2007 | 71 | 2007 |
Ergodic averages of commuting transformations with distinct degree polynomial iterates Q Chu, N Frantzikinakis, B Host Proceedings of the London Mathematical Society 102 (5), 801, 2011 | 68* | 2011 |
Some open problems on multiple ergodic averages N Frantzikinakis Bulletin of the Hellenic Mathematical Society 60, 41-90, 2011 | 57 | 2011 |
Multiple ergodic averages for three polynomials and applications N Frantzikinakis Transactions of the American Mathematical Society 360 (10), 5435-5475, 2008 | 51 | 2008 |
Convergence of multiple ergodic averages for some commuting transformations N Frantzikinakis, B Kra Ergodic Theory and Dynamical Systems 25 (3), 799-809, 2005 | 49 | 2005 |
Multiple recurrence and convergence for Hardy sequences of polynomial growth N Frantzikinakis Journal d'Analyse Mathématique 112 (1), 79-135, 2010 | 47 | 2010 |
The polynomial multidimensional Szemerédi theorem along shifted primes N Frantzikinakis, B Host, B Kra Israel Journal of Mathematics 194 (1), 331-348, 2013 | 44 | 2013 |
A Hardy field extension of Szemerédi's theorem N Frantzikinakis, M Wierdl Advances in Mathematics 222 (1), 1-43, 2009 | 42 | 2009 |
Equidistribution of sparse sequences on nilmanifolds N Frantzikinakis Journal d'Analyse Mathématique 109 (1), 353-395, 2009 | 39 | 2009 |
Ergodic averages for independent polynomials and applications N Frantzikinakis, B Kra Journal of the London Mathematical Society 74 (1), 131-142, 2006 | 39 | 2006 |
Random sequences and pointwise convergence of multiple ergodic averages N Frantzikinakis, E Lesigne, M Wierdl Indiana University Mathematics Journal, 585-617, 2012 | 32 | 2012 |
A multidimensional Szemerédi theorem for Hardy sequences of different growth N Frantzikinakis Transactions of the American Mathematical Society 367 (8), 5653-5692, 2015 | 31 | 2015 |
Sets of -recurrence but not -recurrence N Frantzikinakis, E Lesigne, M Wierdl Annales de l'institut Fourier 56 (4), 839-849, 2006 | 31 | 2006 |
Pointwise convergence for cubic and polynomial ergodic averages of non-commuting transformations Q Chu, N Frantzikinakis Ergodic Theory and Dynamical Systems 32 (3) , 877-897, 2010 | 30* | 2010 |
Furstenberg systems of bounded multiplicative functions and applications N Frantzikinakis, B Host International Mathematics Research Notices 2021 (8), 6077-6107, 2021 | 27 | 2021 |
Ergodicity of the Liouville system implies the Chowla conjecture N Frantzikinakis arXiv preprint arXiv:1611.09338, 2016 | 27 | 2016 |
Multiple correlation sequences and nilsequences N Frantzikinakis Inventiones mathematicae 202, 875-892, 2015 | 26 | 2015 |