Higher order Fourier analysis of multiplicative functions and applications N Frantzikinakis, B Host
Journal of the American Mathematical Society 30 (1), 67-157, 2017
83 * 2017 Polynomial averages converge to the product of integrals N Frantzikinakis, B Kra
Israel Journal of Mathematics 148, 267-276, 2005
72 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
70 2007 The logarithmic Sarnak conjecture for ergodic weights N Frantzikinakis, B Host
Annals of Mathematics 187 (3), 869-931, 2018
69 2018 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
66 * 2011 Multiple ergodic averages for three polynomials and applications N Frantzikinakis
Transactions of the American Mathematical Society 360 (10), 5435-5475, 2008
51 2008 Some open problems on multiple ergodic averages N Frantzikinakis
Bulletin of the Hellenic Mathematical Society 60, 41-90, 2011
50 2011 Convergence of multiple ergodic averages for some commuting transformations N Frantzikinakis, B Kra
Ergodic Theory and Dynamical Systems 25 (3), 799-809, 2005
47 2005 Multiple recurrence and convergence for Hardy sequences of polynomial growth N Frantzikinakis
Journal d'Analyse Mathématique 112 (1), 79-135, 2010
44 2010 The polynomial multidimensional Szemerédi theorem along shifted primes N Frantzikinakis, B Host, B Kra
Israel Journal of Mathematics 194 (1), 331-348, 2013
43 2013 A Hardy field extension of Szemerédi's theorem N Frantzikinakis, M Wierdl
Advances in Mathematics 222 (1), 1-43, 2009
41 2009 Ergodic averages for independent polynomials and applications N Frantzikinakis, B Kra
Journal of the London Mathematical Society 74 (1), 131-142, 2006
37 2006 Equidistribution of sparse sequences on nilmanifolds N Frantzikinakis
Journal d'Analyse Mathématique 109 (1), 353-395, 2009
36 2009 Random sequences and pointwise convergence of multiple ergodic averages N Frantzikinakis, E Lesigne, M Wierdl
Indiana University Mathematics Journal, 585-617, 2012
31 2012 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
29 * 2010 Sets of -recurrence but not -recurrence N Frantzikinakis, E Lesigne, M Wierdl
Annales de l'institut Fourier 56 (4), 839-849, 2006
28 2006 Furstenberg systems of bounded multiplicative functions and applications N Frantzikinakis, B Host
International Mathematics Research Notices 2021 (8), 6077-6107, 2021
27 2021 A multidimensional Szemerédi theorem for Hardy sequences of different growth N Frantzikinakis
Transactions of the American Mathematical Society 367 (8), 5653-5692, 2015
27 2015 Ergodicity of the Liouville system implies the Chowla conjecture N Frantzikinakis
arXiv preprint arXiv:1611.09338, 2016
26 2016 Multiple correlation sequences and nilsequences N Frantzikinakis
Inventiones mathematicae 202, 875-892, 2015
26 2015