Nikos Frantzikinakis

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All published works

Action	Title	Year	Authors
+ PDF Chat	Joint ergodicity for commuting transformations and applications to polynomial sequences	2025	Nikos Frantzikinakis Borys Kuca
+ PDF Chat	Partition regularity of homogeneous quadratics: Current trends and challenges	2024	Nikos Frantzikinakis
+	Degree lowering for ergodic averages along arithmetic progressions	2024	Nikos Frantzikinakis Borys Kuca
+	Bohr recurrence and density of non-lacunary semigroups of ℕ	2024	Nikos Frantzikinakis Bernard Host Bryna Kra
+ PDF Chat	Partition regularity of generalized Pythagorean pairs	2024	Nikos Frantzikinakis Oleksiy Klurman Joel Moreira
+ PDF Chat	Bohr recurrence and density of non-lacunary semigroups of $\mathbb{N}$	2024	Nikos Frantzikinakis Bryna Kra Bernard Host
+ PDF Chat	Joint ergodicity of sequences	2023	Nikos Frantzikinakis
+	Multiple recurrence and convergence without commutativity	2023	Nikos Frantzikinakis Bernard Host
+ PDF	Seminorm control for ergodic averages with commuting transformations along pairwise dependent polynomials	2023	Nikos Frantzikinakis Borys Kuca
+	Furstenberg systems of pretentious and MRT multiplicative functions	2023	Nikos Frantzikinakis Mariusz Lemańczyk Thierry de La Rue
+	Ergodic Theory: Recurrence	2023	Nikos Frantzikinakis Randall McCutcheon
+	Partition regularity of Pythagorean pairs	2023	Nikos Frantzikinakis Oleksiy Klurman Joel Moreira
+ PDF Chat	Furstenberg systems of Hardy field sequences and applications	2022	Nikos Frantzikinakis
+ PDF	Joint ergodicity of fractional powers of primes	2022	Nikos Frantzikinakis
+	Joint ergodicity for commuting transformations and applications to polynomial sequences	2022	Nikos Frantzikinakis Borys Kuca
+	Seminorm control for ergodic averages with commuting transformations and pairwise dependent polynomial iterates	2022	Nikos Frantzikinakis Borys Kuca
+	Degree lowering for ergodic averages along arithmetic progressions	2022	Nikos Frantzikinakis Borys Kuca
+	Multiple recurrence and convergence without commutativity	2021	Nikos Frantzikinakis Bernard Host
+	Joint ergodicity of fractional powers of primes	2021	Nikos Frantzikinakis
+	Joint ergodicity of sequences	2021	Nikos Frantzikinakis
+ PDF	None	2020	Nikos Frantzikinakis
+	Correlations of multiplicative functions along deterministic and independent sequences	2020	Nikos Frantzikinakis
+	Ergodic Theory: Recurrence	2020	Nikos Frantzikinakis Randall McCutcheon
+	Furstenberg systems of Hardy field sequences and applications	2020	Nikos Frantzikinakis
+	Correlations of multiplicative functions along deterministic and independent sequences	2019	Nikos Frantzikinakis
+	Good weights for the Erd\H{o}s discrepancy problem	2019	Nikos Frantzikinakis
+ PDF Chat	Furstenberg Systems of Bounded Multiplicative Functions and Applications	2019	Nikos Frantzikinakis Bernard Host
+	Good weights for the Erdős discrepancy problem	2019	Nikos Frantzikinakis
+	Correlations of multiplicative functions along deterministic and independent sequences	2019	Nikos Frantzikinakis
+	Furstenberg systems of bounded multiplicative functions and applications	2018	Nikos Frantzikinakis Bernard Host
+ PDF Chat	The logarithmic Sarnak conjecture for ergodic weights	2018	Nikos Frantzikinakis Bernard Host
+ PDF	Ergodicity of the Liouville system implies the Chowla conjecture	2018	Nikos Frantzikinakis
+	Furstenberg systems of bounded multiplicative functions and applications	2018	Nikos Frantzikinakis Bernard Host
+ PDF Chat	Under-recurrence in the Khintchine recurrence theorem	2017	Michael Boshernitzan Nikos Frantzikinakis Μáté Wierdl
+ PDF Chat	An Averaged Chowla and Elliott Conjecture Along Independent Polynomials	2017	Nikos Frantzikinakis
+	Higher order Fourier analysis of multiplicative functions and appliactions	2017	Nikos Frantzikinakis Bernard Host
+	Ergodicity of the Liouville system implies the Chowla conjecture	2016	Nikos Frantzikinakis
+ PDF	Random differences in Szemerédi’s theorem and related results	2016	Nikos Frantzikinakis Emmanuel Lesigne Μáté Wierdl
+ PDF Chat	Weighted multiple ergodic averages and correlation sequences	2016	Nikos Frantzikinakis Bernard Host
+	An averaged Chowla and Elliott conjecture along independent polynomials	2016	Nikos Frantzikinakis
+	Under recurrence in the Khintchine recurrence theorem	2016	Michael Boshernitzan Nikos Frantzikinakis Μáté Wierdl
+ PDF Chat	Asymptotics for multilinear averages of multiplicative functions	2016	Nikos Frantzikinakis Bernard Host
+	Higher order Fourier analysis of multiplicative functions and applications	2016	Nikos Frantzikinakis Bernard Host
+	Ergodicity of the Liouville system implies the Chowla conjecture	2016	Nikos Frantzikinakis
+	Under recurrence in the Khintchine recurrence theorem	2016	Michael Boshernitzan Nikos Frantzikinakis Μáté Wierdl
+	An averaged Chowla and Elliott conjecture along independent polynomials	2016	Nikos Frantzikinakis
+	Multiple ergodic theorems for arithmetic sets	2015	Nikos Frantzikinakis Bernard Host
+	Multiple ergodic theorems for arithmetic sets	2015	Nikos Frantzikinakis Bernard Host
+ PDF Chat	Multiple correlation sequences and nilsequences	2015	Nikos Frantzikinakis
+	Convergence of multilinear averages of multiplicative functions	2015	Nikos Frantzikinakis Bernard Host
+	Multiple ergodic theorems for arithmetic sets	2015	Nikos Frantzikinakis Bernard Host
+ PDF	A multidimensional Szemerédi theorem for Hardy sequences of different growth	2014	Nikos Frantzikinakis
+	Multiple correlation sequences and nilsequences	2014	Nikos Frantzikinakis
+	Higher order Fourier analysis of multiplicative functions and applications	2014	Nikos Frantzikinakis Bernard Host
+	Higher order Fourier analysis of multiplicative functions and applications	2014	Nikos Frantzikinakis Bernard Host
+	Multiple correlation sequences and nilsequences	2014	Nikos Frantzikinakis
+ PDF Chat	Multiple recurrence for non-commuting transformations along rationally independent polynomials	2013	Nikos Frantzikinakis Pavel Zorin‐Kranich
+	Arbeitsgemeinschaft: Ergodic Theory and Combinatorial Number Theory	2013	Vitaly Bergelson Nikos Frantzikinakis Terence Tao Tamar Ziegler
+ PDF	Random differences in Szemerédi's theorem and related results	2013	Nikos Frantzikinakis Emmanuel Lesigne Μáté Wierdl
+	Uniformity of multiplicative functions and partition regularity of some quadratic equations	2013	Nikos Frantzikinakis Bernard Host
+ PDF Chat	The polynomial multidimensional Szemerédi Theorem along shifted primes.	2013	Nikos Frantzikinakis Bernard Host Bryna Kra
+	Random differences in Szemerédi's theorem and related results	2013	Nikos Frantzikinakis Emmanuel Lesigne Μáté Wierdl
+ PDF Chat	The polynomial multidimensional Szemerédi Theorem along shifted primes	2012	Nikos Frantzikinakis Bernard Host Bryna Kra
+	A multidimensional Szemeredi theorem for Hardy sequences of different growth	2012	Nikos Frantzikinakis
+	A multidimensional Szemeredi theorem for Hardy sequences of different growth	2012	Nikos Frantzikinakis
+	Random sequences and pointwise convergence of multiple ergodic averages	2012	Nikos Frantzikinakis Emmanuel Lesigne Μáté Wierdl
+	Ergodic Theory: Recurrence	2011	Nikos Frantzikinakis Randall McCutcheon
+ PDF Chat	Ergodic Theory: Recurrence	2011	Nikos Frantzikinakis Randall McCutcheon
+	Pointwise convergence for cubic and polynomial multiple ergodic averages of non-commuting transformations	2011	Qing Chu Nikos Frantzikinakis
+	Some open problems on multiple ergodic averages	2011	Nikos Frantzikinakis
+	Some open problems on multiple ergodic averages	2011	Nikos Frantzikinakis
+ PDF Chat	Ergodic averages of commuting transformations with distinct degree polynomial iterates	2010	Qing Chu Nikos Frantzikinakis Bernard Host
+ PDF Chat	Multiple recurrence and convergence for hardy sequences of polynomial growth	2010	Nikos Frantzikinakis
+	Pointwise convergence for cubic and polynomial ergodic averages of non-commuting transformations	2010	Qing Chu Nikos Frantzikinakis
+	The polynomial multidimensional Szemerédi Theorem along shifted primes	2010	Bernard Host Nikos Frantzikinakis Bryna Kra
+	Commuting averages with polynomial iterates of distinct degrees	2009	Qing Chu Nikos Frantzikinakis Bernard Host
+ PDF Chat	Equidistribution of sparse sequences on nilmanifolds	2009	Nikos Frantzikinakis
+ PDF	Powers of sequences and convergence of ergodic averages	2009	Nikos Frantzikinakis Marianne Johnson Emmanuel Lesigne Μáté Wierdl
+	A Hardy field extension of Szemerédi's theorem	2009	Nikos Frantzikinakis Μáté Wierdl
+	Multiple recurrence and convergence for Hardy sequences of polynomial growth	2009	Nikos Frantzikinakis
+	Ergodic Theory: Recurrence	2009	Nikos Frantzikinakis Randall McCutcheon
+	Multiple recurrence and convergence for Hardy sequences of polynomial growth	2009	Nikos Frantzikinakis
+ PDF	Powers of sequences and recurrence	2009	Nikos Frantzikinakis Emmanuel Lesigne Μáté Wierdl
+	Equidistribution of sparse sequences on nilmanifolds	2008	Nikos Frantzikinakis
+ PDF	Powers of sequences and recurrence	2008	Nikos Frantzikinakis Emmanuel Lesigne Μáté Wierdl
+ PDF	Multiple ergodic averages for three polynomials and applications	2008	Nikos Frantzikinakis
+	A Hardy field extension of Szemeredi's Theorem	2008	Nikos Frantzikinakis Μáté Wierdl
+	Equidistribution of sparse sequences on nilmanifolds	2008	Nikos Frantzikinakis
+	A Hardy field extension of Szemeredi's Theorem	2008	Nikos Frantzikinakis Μáté Wierdl
+ PDF	Multiple recurrence and convergence for sequences related to the prime numbers	2007	Nikos Frantzikinakis Bernard Host Bryna Kra
+	Ergodic Theory: Recurrence	2007	Nikos Frantzikinakis Randall McCutcheon
+ PDF Chat	ERGODIC AVERAGES FOR INDEPENDENT POLYNOMIALS AND APPLICATIONS	2006	Nikos Frantzikinakis Bryna Kra
+ PDF Chat	Uniformity in the polynomial Wiener–Wintner theorem	2006	Nikos Frantzikinakis
+	On the degree of regularity of generalized van der Waerden triples	2006	Nikos Frantzikinakis Bruce Landman Aaron Robertson
+ PDF	Sets of k-recurrence but not (k+1)-recurrence	2006	Nikos Frantzikinakis Emmanuel Lesigne Μáté Wierdl
+	Uniformity in the polynomial Wiener-Wintner theorem	2006	Nikos Frantzikinakis
+ PDF Chat	Sets of k-recurrence but not (k+1)-recurrence	2006	Nikos Frantzikinakis Emmanuel Lesigne Μáté Wierdl
+	Multiple ergodic averages for three polynomials and applications	2006	Nikos Frantzikinakis
+	Multiple recurence and convergence for sequences related to the prime numbers	2006	Nikos Frantzikinakis Bernard Host Bryna Kra
+ PDF Chat	Sets of k-recurrence but not (k+1)-recurrence	2006	Nikos Frantzikinakis Emmanuel Lesigne Μáté Wierdl
+ PDF Chat	Polynomial averages converge to the product of integrals	2005	Nikos Frantzikinakis Bryna Kra
+ PDF	Convergence of multiple ergodic averages for some commuting transformations	2005	Nikos Frantzikinakis Bryna Kra
+	On the degree of regularity of generalized van der Waerden triples	2005	Nikos Frantzikinakis Bruce Landman Aaron Robertson
+ PDF Chat	The structure of strongly stationary systems	2004	Nikos Frantzikinakis
+	Convergence of multiple ergodic averages for some commuting transformations	2004	Nikos Frantzikinakis Bryna Kra
+	Ergodic Averages for Independent Polynomials and Applications	2004	Nikos Frantzikinakis Bryna Kra
+	The Structure of Strongly Stationary Systems	2004	Nikos Frantzikinakis
+	Polynomial Averages Converge to the Product of Integrals	2004	Nikos Frantzikinakis Bryna Kra
+ PDF	Additive functions modulo a countable subgroup of R	2003	Nikos Frantzikinakis

Common Coauthors

Coauthor	Papers Together
Bernard Host	26
Μáté Wierdl	16
Bryna Kra	13
Emmanuel Lesigne	10
Randall McCutcheon	6
Borys Kuca	6
Qing Chu	4
Michael Boshernitzan	3
Bruce Landman	2
Aaron Robertson	2
Oleksiy Klurman	2
Joel Moreira	2
Terence Tao	1
Pavel Zorin‐Kranich	1
Vitaly Bergelson	1
Mariusz Lemańczyk	1
Thierry de La Rue	1
Tamar Ziegler	1
Marianne Johnson	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF	Nonconventional ergodic averages and nilmanifolds	2005	Bernard Host Bryna Kra	52
+	Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions	1977	Harry Furstenberg	48
+	Recurrence in Ergodic Theory and Combinatorial Number Theory	1981	Harry Furstenberg	41
+ PDF	Polynomial extensions of van der Waerden’s and Szemerédi’s theorems	1996	Vitaly Bergelson A. Leibman	38
+	Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold	2004	A. Leibman	34
+	Universal characteristic factors and Furstenberg averages	2006	Tamar Ziegler	31
+ PDF	Convergence of polynomial ergodic averages	2005	Bernard Host Bryna Kra	28
+	Convergence of multiple ergodic averages along polynomials of several variables	2005	A. Leibman	28
+ PDF	Weakly mixing PET	1987	Vitaly Bergelson	26
+ PDF	Multiple recurrence and nilsequences	2005	Vitaly Bergelson Bernard Host Bryna Kra Imre Z. Ruzsa	25
+ PDF Chat	ERGODIC AVERAGES FOR INDEPENDENT POLYNOMIALS AND APPLICATIONS	2006	Nikos Frantzikinakis Bryna Kra	19
+ PDF	Linear equations in primes	2010	Ben Green Terence Tao	19
+	A new proof of Szemerédi's theorem	2001	W. T. Gowers	18
+ PDF	The quantitative behaviour of polynomial orbits on nilmanifolds	2012	Ben Green Terence Tao	17
+ PDF	The Möbius function is strongly orthogonal to nilsequences	2012	Ben Green Terence Tao	16
+ PDF	Multiple ergodic averages for three polynomials and applications	2008	Nikos Frantzikinakis	16
+	Ergodic averaging sequences	2005	Michael Boshernitzan Grigori Kolesnik Anthony Quas Μáté Wierdl	16
+	An ergodic Szemerédi theorem for commuting transformations	1978	Hillel Fürstenberg Yitzhak Katznelson	16
+	Uniform distribution of sequences	1974	L. Kuipers Harald Niederreiter	16
+ PDF Chat	Polynomial averages converge to the product of integrals	2005	Nikos Frantzikinakis Bryna Kra	15
+ PDF	The primes contain arbitrarily long arithmetic progressions	2008	Benjamin Green Terence Tao	15
+ PDF	AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM	2008	Ben Green Terence Tao	15
+ PDF	Aspects of uniformity in recurrence	2000	Vitaly Bergelson Bernard Host Randall McCutcheon Franiçois Parreau	15
+ PDF Chat	Uniformity seminorms on ℓ∞ and applications	2009	Bernard Host Bryna Kra	15
+ PDF Chat	Ergodic averages of commuting transformations with distinct degree polynomial iterates	2010	Qing Chu Nikos Frantzikinakis Bernard Host	13
+ PDF Chat	Multiple recurrence and convergence for hardy sequences of polynomial growth	2010	Nikos Frantzikinakis	13
+ PDF Chat	Multiple recurrence and convergence along the primes	2012	Trevor D. Wooley Tamar Ziegler	13
+	Higher order Fourier analysis of multiplicative functions and applications	2016	Nikos Frantzikinakis Bernard Host	13
+ PDF Chat	The logarithmic Sarnak conjecture for ergodic weights	2018	Nikos Frantzikinakis Bernard Host	13
+	Ergodic Theory	1982	I. P. Cornfeld Ya. G. Sinaĭ Sergey Fomin	12
+ PDF	THE LOGARITHMICALLY AVERAGED CHOWLA AND ELLIOTT CONJECTURES FOR TWO-POINT CORRELATIONS	2016	Terence Tao	12
+ PDF	An averaged form of Chowla’s conjecture	2015	Kaisa Matomäki Maksym Radziwiłł Terence Tao	12
+	An Introduction to Ergodic Theory	1981	Peter Walters	12
+ PDF	Sets of k-recurrence but not (k+1)-recurrence	2006	Nikos Frantzikinakis Emmanuel Lesigne Μáté Wierdl	12
+	Nilpotent Structures in Ergodic Theory	2018	Bernard Host Bryna Kra	12
+ PDF	Théorèmes ergodiques pour des mesures diagonales	1984	Jean-Pierre Conze Emmanuel Lesigne	12
+ PDF Chat	The polynomial multidimensional Szemerédi Theorem along shifted primes	2012	Nikos Frantzikinakis Bernard Host Bryna Kra	12
+ PDF	Multiplicative functions in short intervals	2016	Kaisa Matomäki Maksym Radziwiłł	11
+ PDF	Norm convergence of nilpotent ergodic averages	2012	Miguel N. Walsh	11
+ PDF	An inverse theorem for the Gowers U^(s+1)[N]-norm	2012	Ben Green Terence Tao Tamar Ziegler	11
+ PDF	Intersective polynomials and polynomial Szemeredi theorem	2008	Vitaly Bergelson A. Leibman Emmanuel Lesigne	10
+ PDF Chat	The structure of logarithmically averaged correlations of multiplicative functions, with applications to the Chowla and Elliott conjectures	2019	Terence Tao Joni Teräväinen	10
+	On the maximal ergodic theorem for certain subsets of the integers	1988	Jean Bourgain	10
+ PDF Chat	Equidistribution of sparse sequences on nilmanifolds	2009	Nikos Frantzikinakis	10
+	RECURRENCE IN ERGODIC THEORY AND COMBINATORIAL NUMBER THEORY	1982	L. N. Vaserstein	10
+ PDF	Multiple recurrence and convergence for sequences related to the prime numbers	2007	Nikos Frantzikinakis Bernard Host Bryna Kra	10
+ PDF	The primes contain arbitrarily long polynomial progressions	2008	Terence Tao Tamar Ziegler	10
+ PDF	On sets of integers containing k elements in arithmetic progression	1975	Endre Szemerédi	10
+	A density version of the Hales-Jewett theorem	1991	Hillel Fürstenberg Yitzhak Katznelson	10
+	An Introduction to Ergodic Theory	1982	Peter Walters	10