Pablo Candela

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All published works

Action	Title	Year	Authors
+ PDF Chat	Spectral algorithms in higher-order Fourier analysis	2025	Pablo Candela Diego González-Sánchez Balázs Szegedy
+ PDF Chat	On sets with missing differences in compact abelian groups	2024	Pablo Candela Fernando Chamizo Antonio Cordóba
+	On $\mathbb F_2^\omega $-affine-exchangeable probability measures	2024	Pablo Candela Diego González-Sánchez Balázs Szegedy
+	Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and Limits	2023	Pablo Candela Balázs Szegedy
+ PDF Chat	On higher-order Fourier analysis in characteristic <i>p</i>	2023	Pablo Candela Diego González-Sánchez Balázs Szegedy
+	Free nilspaces, double-coset nilspaces, and Gowers norms	2023	Pablo Candela Diego González-Sánchez Balázs Szegedy
+	On measure-preserving $\mathbb{F}_p^ω$-systems of order $k$	2023	Pablo Candela Diego González-Sánchez Balázs Szegedy
+	On the inverse theorem for Gowers norms in abelian groups of bounded torsion	2023	Pablo Candela Diego González-Sánchez Balázs Szegedy
+ PDF Chat	A refinement of Cauchy–Schwarz complexity	2022	Pablo Candela Diego González-Sánchez Balázs Szegedy
+ PDF Chat	Regularity and inverse theorems for uniformity norms on compact abelian groups and nilmanifolds	2022	Pablo Candela Balázs Szegedy
+	On $\mathbb{F}_2^ω$-affine-exchangeable probability measures	2022	Pablo Candela Diego González-Sánchez Balázs Szegedy
+ PDF Chat	О задаче Моцкина для группы $\mathbb R/\mathbb Z$	2021	Pablo Candela Carlos A. Torre Juanjo Rué Oriol Serra
+ PDF Chat	On Motzkin’s Problem in the Circle Group	2021	Pablo Candela Carlos Catalá Juanjo Rué Oriol Serra
+ PDF Chat	Coloring graphs by translates in the circle	2021	Pablo Candela Carlos Catalá Robert Hancock Adam Kabela Daniel Kráľ Ander Lamaison Lluís Vena
+ PDF Chat	On sets with small sumset and m-sum-free sets in Z/pZ	2021	Pablo Candela David G Gonzalez-Sanchez David J. Grynkiewicz
+	A Refinement of Cauchy-Schwarz Complexity, with Applications	2021	Pablo Candela Diego González-Sánchez Balázs Szegedy
+	A refinement of Cauchy-Schwarz complexity	2021	Pablo Candela Diego González-Sánchez Balázs Szegedy
+	On higher-order Fourier analysis in characteristic $p$	2021	Pablo Candela Diego González-Sánchez Balázs Szegedy
+ PDF Chat	A step beyond Freiman’s theorem for set addition modulo a prime	2020	Pablo Candela Oriol Serra Christoph Spiegel
+	Coloring graphs by translates in the circle	2020	Pablo Candela Carlos Catalá Robert Hancock Adam Kabela Daniel Kráľ Ander Lamaison Lluís Vena
+	Coloring graphs by translates in the circle	2020	Pablo Candela Carlos Catalá Robert Hancock Adam Kabela Daniel Kráľ Ander Lamaison Lluís Vena
+	On sets with small sumset and m-sum-free sets in Z/pZ	2019	Pablo Candela Diego González-Sánchez David J. Grynkiewicz
+	A step towards the 3k-4 conjecture in Z/pZ and an application to m-sum-free sets	2019	Pablo Candela Diego González-Sánchez David J. Grynkiewicz
+ PDF Chat	A Plünnecke–Ruzsa inequality in compact abelian groups	2019	Pablo Candela Diego González-Sánchez Anne de Roton
+ PDF Chat	On nilspace systems and their morphisms	2019	Pablo Candela Diego González-Sánchez Balázs Szegedy
+	Regularity and inverse theorems for uniformity norms on compact abelian groups and nilmanifolds	2019	Pablo Candela Balázs Szegedy
+	On sets with small sumset and m-sum-free sets in Z/pZ	2019	Pablo Candela Diego González-Sánchez David J. Grynkiewicz
+	Regularity and inverse theorems for uniformity norms on compact abelian groups and nilmanifolds	2019	Pablo Candela Balázs Szegedy
+	On sets with small sumset in the circle	2018	Pablo Candela Anne de Roton
+	A step beyond Freiman's theorem for set addition modulo a prime.	2018	Pablo Candela Oriol Serra Christoph Spiegel
+ PDF Chat	A continuous model for systems of complexity 2 on simple abelian groups	2018	Pablo Candela Balázs Szegedy
+	Memorial to Javier Cilleruelo: A Problem list	2018	Pablo Candela Juanjo Rué Oriol Serra
+ PDF Chat	http://discreteanalysisjournal.com/article/2105-notes-on-nilspaces-algebraic-aspects	2018	Pablo Candela
+	Notes on compact nilspaces	2018	Pablo Candela
+	A step beyond Freiman's theorem for set addition modulo a prime	2018	Pablo Candela Oriol Serra Christoph Spiegel
+	Nilspace factors for general uniformity seminorms, cubic exchangeability and limits	2018	Pablo Candela Balázs Szegedy
+	A Pl\"unnecke-Ruzsa inequality in compact abelian groups	2017	Pablo Candela Diego González-Sánchez Anne de Roton
+	On sets with small sumset in the circle	2017	Pablo Candela Anne de Roton
+	A Plünnecke-Ruzsa inequality in compact abelian groups	2017	Pablo Candela Diego González-Sánchez Anne de Roton
+ PDF Chat	On Linear Configurations in Subsets of Compact Abelian Groups, and Invariant Measurable Hypergraphs	2016	Pablo Candela Balázs Szegedy Lluís Vena
+	Notes on nilspaces: algebraic aspects	2016	Pablo Candela
+	Notes on compact nilspaces	2016	Pablo Candela
+ PDF Chat	Towers for commuting endomorphisms, and combinatorial applications	2016	Artur Avila Pablo Candela
+	A continuous model for systems of complexity 2 on simple abelian groups	2015	Pablo Candela Balázs Szegedy
+	Towers for commuting endomorphisms, and combinatorial applications	2015	Artur Avila Pablo Candela
+ PDF Chat	On the dimension of additive sets	2015	Pablo Candela H. A. Helfgott
+	Towers for commuting endomorphisms, and combinatorial applications	2015	Artur Avila Pablo Candela
+	A continuous model for systems of complexity 2 on simple abelian groups	2015	Pablo Candela Balázs Szegedy
+	On linear configurations in subsets of compact abelian groups, and invariant measurable hypergraphs	2014	Pablo Candela Balázs Szegedy Lluís Vena
+	On the dimension of additive sets	2014	Pablo Candela H. A. Helfgott
+ PDF Chat	Convergence Results for Systems of Linear Forms on Cyclic Groups and Periodic Nilsequences	2014	Pablo Candela Olof Sisask
+	On linear configurations in subsets of compact abelian groups, and invariant measurable hypergraphs	2014	Pablo Candela Balázs Szegedy Lluís Vena
+ PDF Chat	A removal lemma for linear configurations in subsets of the circle	2013	Pablo Candela Olof Sisask
+	Convergence results for systems of linear forms on cyclic groups, and periodic nilsequences	2012	Pablo Candela Olof Sisask
+	Convergence results for systems of linear forms on cyclic groups, and periodic nilsequences	2012	Pablo Candela Olof Sisask
+	A removal lemma for linear configurations in subsets of the circle	2011	Pablo Candela Olof Sisask
+	On the asymptotic maximal density of a set avoiding solutions to linear equations modulo a prime	2011	Pablo Candela Olof Sisask
+ PDF Chat	On the asymptotic maximal density of a set avoiding solutions to linear equations modulo a prime	2011	Pablo Candela Olof Sisask
+	A removal lemma for linear configurations in subsets of the circle	2011	Pablo Candela Olof Sisask
+	On the asymptotic maximal density of a set avoiding solutions to linear equations modulo a prime	2011	Pablo Candela Olof Sisask
+	On the structure of steps of three-term arithmetic progressions in a dense set of integers	2009	Pablo Candela
+	Structure Along Arithmetic Patterns in Sequences of Vectors	2009	Pablo Candela

Common Coauthors

Coauthor	Papers Together
Balázs Szegedy	23
Diego González-Sánchez	18
Olof Sisask	9
Oriol Serra	6
Lluís Vena	6
Anne de Roton	5
Carlos Catalá	4
David J. Grynkiewicz	4
Adam Kabela	3
Artur Avila	3
Robert Hancock	3
Daniel Kráľ	3
Christoph Spiegel	3
Ander Lamaison	3
Juanjo Rué	3
H. A. Helfgott	2
Fernando Chamizo	1
Carlos A. Torre	1
Antonio Córdoba	1
David G Gonzalez-Sanchez	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A new proof of Szemerédi's theorem	2001	W. T. Gowers	11
+ PDF Chat	On the asymptotic maximal density of a set avoiding solutions to linear equations modulo a prime	2011	Pablo Candela Olof Sisask	11
+ PDF Chat	The true complexity of a system of linear equations	2009	W. T. Gowers Jason B. Wolf	11
+ PDF Chat	Nonconventional ergodic averages and nilmanifolds	2005	Bernard Host Bryna Kra	10
+ PDF Chat	The quantitative behaviour of polynomial orbits on nilmanifolds	2012	Ben Green Terence Tao	9
+ PDF Chat	AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM	2008	Ben Green Terence Tao	9
+	On higher order Fourier analysis	2012	Balázs Szegedy	9
+	Nilspaces, nilmanifolds and their morphisms	2010	Omar Antolín Camarena Balázs Szegedy	7
+ PDF Chat	An Arithmetic Regularity Lemma, An Associated Counting Lemma, and Applications	2010	Ben Green Terence Tao	7
+ PDF Chat	Linear equations in primes	2010	Ben Green Terence Tao	7
+ PDF Chat	Parallelepipeds, nilpotent groups and Gowers norms	2008	Bernard Host Bryna Kra	6
+	Polynomial Sequences in Groups	1998	A. Leibman	6
+ PDF Chat	Generalizations of Fourier analysis, and how to apply them	2016	W. T. Gowers	6
+	The structure theory of Nilspaces II: Representation as nilmanifolds	2018	Yonatan Gutman Freddie Manners Péter P. Varjú	6
+ PDF Chat	Solving a linear equation in a set of integers I	1993	Imre Z. Ruzsa	6
+ PDF Chat	The Minimal Number of Three-Term Arithmetic Progressions Modulo a Prime Converges to a Limit	2008	Ernie Croot	6
+	Polynomial mappings of groups	2002	A. Leibman	6
+ PDF Chat	On Roth's theorem on progressions	2011	Tom Sanders	6
+	Notes on compact nilspaces	2018	Pablo Candela	6
+ PDF Chat	An inverse theorem for the Gowers U^(s+1)[N]-norm	2012	Ben Green Terence Tao Tamar Ziegler	5
+ PDF Chat	A quantitative improvement for Roth's theorem on arithmetic progressions: Table 1.	2016	Thomas F. Bloom	5
+	The structure theory of nilspaces III: Inverse limit representations and topological dynamics	2020	Yonatan Gutman Freddie Manners Péter P. Varjú	5
+ PDF Chat	On the removal lemma for linear systems over Abelian groups	2012	Daniel Kráľ Oriol Serra Lluís Vena	5
+ PDF Chat	The structure theory of nilspaces I	2020	Yonatan Gutman Freddie Manners Péter P. Varjú	5
+	Higher order regionally proximal equivalence relations for general minimal group actions	2018	Eli Glasner Yonatan Gutman XiangDong Ye	5
+	Fourier Analysis on Groups	2006	Walter Rudin L. Bers R. Courant J. J. Stoker Dagmar Renate Henney	5
+ PDF Chat	http://discreteanalysisjournal.com/article/2105-notes-on-nilspaces-algebraic-aspects	2018	Pablo Candela	5
+	On Certain Sets of Integers	1953	K. F. Roth	5
+	A Szemeredi-type regularity lemma in abelian groups, with applications	2003	Ben Green	4
+ PDF Chat	The Inverse Conjecture for the Gowers Norm over Finite Fields in Low Characteristic	2011	Terence Tao Tamar Ziegler	4
+	Nilpotent Structures in Ergodic Theory	2018	Bernard Host Bryna Kra	4
+ PDF Chat	An Inverse Theorem for the Uniformity Seminorms Associated with the Action of $${{\mathbb {F}^{\infty}_{p}}}$$	2010	Vitaly Bergelson Terence Tao Tamar Ziegler	4
+ PDF Chat	A proof of Green's conjecture regarding the removal properties of sets of linear equations	2010	A. Shapira	4
+ PDF Chat	On nilspace systems and their morphisms	2019	Pablo Candela Diego González-Sánchez Balázs Szegedy	4
+	Notes on nilspaces: algebraic aspects	2016	Pablo Candela	4
+ PDF Chat	Sur les groupes nilpotents et les anneaux de Lie	1954	Michel Lazard	4
+	Additive Combinatorics	2006	Terence Tao Van H. Vu	4
+ PDF Chat	Large values of the Gowers-Host-Kra seminorms	2012	Tanja Eisner Terence Tao	4
+	Orbit of the diagonal in the power of a nilmanifold	2009	A. Leibman	4
+	Star-extremal graphs and the lexicographic product	1996	Guo-Gang Gao Xuding Zhu	4
+	On Certain Sets of Positive Density	1959	P. Varnavides	4
+ PDF Chat	Maximum subsets of (0,1] with no solutions to x+y = kz	1995	Fan Chung John Goldwasser	4
+	A combinatorial proof of the Removal Lemma for Groups	2009	Daniel Kráľ Oriol Serra Lluís Vena	4
+	The Critical Pairs of Subsets of a Group of Prime Order	1956	A. G. Vosper	4
+ PDF Chat	Towers for commuting endomorphisms, and combinatorial applications	2016	Artur Avila Pablo Candela	4
+	Commuting measure-preserving transformations	1972	Yitzhak Katznelson Benjamin Weiss	4
+ PDF Chat	Convergence Results for Systems of Linear Forms on Cyclic Groups and Periodic Nilsequences	2014	Pablo Candela Olof Sisask	4
+ PDF Chat	Maximal sets with no solution to x+y=3z	2015	Alain Plagne Anne de Roton	4
+	On addition of two distinct sets of integers	1995	Vsevolod F. Lev Pavel Smeliansky	3
+	The structure theory of Nilspaces III: Inverse limit representations and topological dynamics	2016	Yonatan Gutman Freddie Manners Péter P. Varjú	3