Zobrazeno 1 - 10
of 2 248
pro vyhledávání: '"A Prendiville"'
Autor:
Prendiville, Sean
We prove an effective version of the inverse theorem for the Gowers $U^3$-norm for functions supported on high-rank quadratic level sets in finite vector spaces. For configurations controlled by the $U^3$-norm (complexity-two configurations), this en
Externí odkaz:
http://arxiv.org/abs/2409.07962
A nonlinear version of Roth's theorem states that dense sets of integers contain configurations of the form $x$, $x+d$, $x+d^2$. We obtain a multidimensional version of this result, which can be regarded as a first step towards effectivising those ca
Externí odkaz:
http://arxiv.org/abs/2407.08338
Autor:
Ning Ge, Rui Li, Min Liu, Wenxin Xia, Stephen T. O'Brien, Veronica McInerney, Joseph Galvin, Deirdre Ward, Catherine McGorrian, Timothy O'Brien, Sanbing Shen, Terence W. Prendiville
Publikováno v:
Journal of the American Heart Association: Cardiovascular and Cerebrovascular Disease, Vol 13, Iss 20 (2024)
Background Long‐QT syndrome is a primary cardiac ion channelopathy predisposing a patient to ventricular arrhythmia through delayed repolarization on the resting ECG. We aimed to establish a patient‐specific, human induced pluripotent stem cell (
Externí odkaz:
https://doaj.org/article/a5abb2f54b0f488792d176797764e91b
Autor:
Olga Boleti, Gabrielle Norrish, Ella Field, Kathleen Dady, Kim Summers, Gauri Nepali, Vinay Bhole, Orhan Uzun, Amos Wong, Piers E. F. Daubeney, Graham Stuart, Precylia Fernandes, Karen McLeod, Maria Ilina, Muhammad Najih Liaqath Ali, Tara Bharucha, Grazia Delle Donne, Elspeth Brown, Katie Linter, Caroline B. Jones, Jonathan Searle, William Regan, Sujeev Mathur, Nicola Boyd, Zdenka Reinhardt, Sophie Duignan, Terence Prendiville, Satish Adwani, Juan Pablo Kaski
Publikováno v:
ESC Heart Failure, Vol 11, Iss 2, Pp 923-936 (2024)
Abstract Aims This study aimed to describe the natural history and predictors of all‐cause mortality and sudden cardiac death (SCD)/equivalent events in children with a RASopathy syndrome and hypertrophic cardiomyopathy (HCM). Methods and results T
Externí odkaz:
https://doaj.org/article/774801a5c3044f99889a58c53cfad13e
Autor:
Ortega, Miquel, Prendiville, Sean
Generalising results of Erd\H{o}s-Freud and Lindstr\"om, we prove that the largest Sidon subset of a bounded interval of integers is equidistributed in Bohr neighbourhoods. We establish this by showing that extremal Sidon sets are Fourier-pseudorando
Externí odkaz:
http://arxiv.org/abs/2110.13447
Autor:
ORTEGA, Miquel, PRENDIVILLE, Sean
Publikováno v:
Journal de Théorie des Nombres de Bordeaux, 2023 Jan 01. 35(1), 115-134.
Externí odkaz:
https://www.jstor.org/stable/48728092
Autor:
Prendiville, Sean
We offer an alternative proof of a result of Conlon, Fox, Sudakov and Zhao on solving translation-invariant linear equations in dense Sidon sets. Our proof generalises to equations in more than five variables and yields effective bounds.
Comment
Comment
Externí odkaz:
http://arxiv.org/abs/2005.03484
Autor:
Prendiville, Sean
We show how to adapt the Hardy--Littlewood circle method to count monochromatic solutions to diagonal Diophantine equations. This delivers a lower bound which is optimal up to absolute constants. The method is illustrated on equations obtained by set
Externí odkaz:
http://arxiv.org/abs/2003.10161
Autor:
Peluse, Sarah, Prendiville, Sean
Publikováno v:
Int. Math. Res. Not. (2022), no. 8, 5658-5684
We show that sets of integers lacking the configuration $x$, $x+y$, $x+y^2$ have at most polylogarithmic density.
Comment: v2. Replaced use of Hahn-Banach theorem with simplified treatment involving Cauchy-Schwarz
Comment: v2. Replaced use of Hahn-Banach theorem with simplified treatment involving Cauchy-Schwarz
Externí odkaz:
http://arxiv.org/abs/2003.04122
Autor:
Prendiville, Sean
We give an exposition of the inverse theorem for the cut-norm associated to the nonlinear Roth configuration, established previously by Peluse and the author.
Comment: arXiv admin note: substantial text overlap with arXiv:1903.02592
Comment: arXiv admin note: substantial text overlap with arXiv:1903.02592
Externí odkaz:
http://arxiv.org/abs/2003.04121