Pablo Candela

Areas de interés

Análisis y combinatoria, en particular las aplicaciones combinatorias del análisis armónico.
Entre estas aplicaciones, las que más suelo considerar son las de combinatoria aritmética.

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Publicaciones y preprints

      (MR = Mathematical Reviews,    RG = Research Gate)

• On the inverse theorem for Gowers norms on abelian groups of bounded torsion
  Con Diego González-Sánchez y Balázs Szegedy.
  Preprint. RG, arXiv
• On measure-preserving F_p^ω-systems of order k
  Con Diego González-Sánchez y Balázs Szegedy.
  Journal d'Analyse Mathématique, por aparecer. RG, arXiv
• Free nilspaces, double-coset nilspaces, and Gowers norms
  Con Diego González-Sánchez y Balázs Szegedy.
  Preprint. RG, arXiv
• On F_2^ω-affine-exchangeable probability measures
  Con Diego González-Sánchez y Balázs Szegedy.
  Preprint. RG, arXiv
• On higher-order Fourier analysis in characteristic p
  Con Diego González-Sánchez y Balázs Szegedy.
  Ergodic Theory and Dynamical Systems 43 (2023), no. 12, 3971-4040. RG, arXiv, MR
• A refinement of Cauchy-Schwarz complexity
  Con Diego González-Sánchez y Balázs Szegedy.
  European Journal of Combinatorics 106 (2022), Paper No. 103592. RG, arXiv, EuroComb 2021, MR
• Regularity and inverse theorems for uniformity norms on compact abelian groups and nilmanifolds
  Con Balázs Szegedy.
  Journal für die Reine und Angewandte Mathematik (Crelle's Journal) 789 (2022), 1-42. RG, arXiv, MR
• Nilspace factors for general uniformity seminorms, cubic exchangeability and limits
  Con Balázs Szegedy.
  Memoirs of the American Mathematical Society 287 (2023), no. 1425, v+101pp. RG, MR
• On Motzkin's problem in the circle group
  Con Carlos Catalá, Juanjo Rué, y Oriol Serra.
  Proceedings of the Steklov Institute of Mathematics 314 (2021), 44-63. MR
• Introducción a métodos de análisis de Fourier en combinatoria aritmética
  Capítulo del libro Aritmética, Grupos y Análisis (AGRA II, Cusco, Perú), Publicações Matemáticas 42, IMPA (2022). RG, arXiv
• Coloring graphs by translates in the circle
  Con Carlos Catalá, Robert Hancock, Adam Kabela, Dan Král', Ander Lamaison, y Lluís Vena.
  European Journal of Combinatorics 96 (2021), Paper No. 103346. RG, arXiv, MR
• On sets with small sumset and m-sum-free sets in Z/pZ
  Con Diego González-Sánchez y David Grynkiewicz.
  Bulletin de la Société Mathématique de France 149 (2021), no. 1, 155-177. RG, arXiv, MR
• On nilspace systems and their morphisms
  Con Diego González-Sánchez y Balázs Szegedy.
  Ergodic Theory and Dynamical Systems 40 (2020), no. 11, 3015-3029. RG, arXiv, MR
• A step beyond Freiman's theorem for set addition modulo a prime
  Con Oriol Serra y Christoph Spiegel.
  Journal de Théorie des Nombres de Bordeaux 32 (2020), no. 1, 275-289. RG, arXiv, MR
• Memorial to Javier Cilleruelo: a problem list
  Con Juanjo Rué y Oriol Serra.
  Integers 18 (2018), Paper No. A28, 9 pp. RG, MR
• A Plünnecke-Ruzsa inequality in compact abelian groups
  Con Anne de Roton y Diego González-Sánchez.
  Revista Matemática Iberoamericana 35 (2019) 7, 2169-2186. RG, arXiv, MR
• On sets with small sumset in the circle
  Con Anne de Roton.
  Quarterly Journal of Mathematics 70 (2019), 49-69. RG, arXiv, MR
• Notes on compact nilspaces
  Discrete Analysis, 2017:16, 57pp. RG, arXiv, MR
• Notes on nilspaces: algebraic aspects
  Discrete Analysis, 2017:15, 59pp. RG, arXiv, MR
• A continuous model for systems of complexity 2 on simple abelian groups
  Con Balázs Szegedy.
  Journal d'Analyse Mathématique 135 (2018) (2), 437-471. RG, arXiv, MR
• Towers for commuting endomorphisms, and combinatorial applications
  Con Artur Avila.
  Annales de l'Institut Fourier 66 (2016), no. 4, 1529-1544. RG, arXiv, MR
• On linear configurations in subsets of compact abelian groups, and invariant measurable hypergraphs
  Con Balázs Szegedy y Lluís Vena.
  Annals of Combinatorics 20 (2016), no. 3, 487-524. RG, arXiv, MR
• On the dimension of additive sets
  Con Harald Helfgott.
  Acta Arithmetica 167 (2015) (1), 91-100. RG, arXiv, MR
• Convergence results for systems of linear forms on cyclic groups, and periodic nilsequences
  Con Olof Sisask.
  SIAM Journal on Discrete Mathematics 28 (2014) (2), 786-810. RG, arXiv, MR
• A removal lemma for linear configurations in subsets of the circle
  Con Olof Sisask.
  Proceedings of the Edinburgh Mathematical Society 56 (2013) (3), 657-666. RG, arXiv, MR
• On the asymptotic maximal density of a set avoiding solutions to linear equations modulo a prime
  Con Olof Sisask.
  Acta Mathematica Hungarica 132 (2011) (3), 223-243. RG, arXiv, MR
• On the structure of steps of three-term arithmetic progressions in dense sets of integers
  Bulletin of the London Mathematical Society 42 (2010) (1), 1-14. MR
• Structure along arithmetic patterns in sequences of vectors
  Combinatorics, Probability and Computing 18 (2009) (6), 861-870. MR