Concept
Rational number
Related publications (49)
Rational Points in the Noether-Lefschetz Locus of Moduli Spaces of K3 Surfaces
We give a characterization of rational points lying on the Noether-Lefschetz locus of moduli spaces of K3 surfaces by studying their lifting properties under some natural coverings of the ambient space. We then prove that the Bombieri-Lang conjecture impli ...
Oxford Univ Press2024Lattice packings through division algebras
In this text, we will show the existence of lattice packings in a family of dimensions by employing division algebras. This construction is a generalization of Venkatesh's lattice packing result Venkatesh (Int Math Res Notices 2013(7): 1628-1642, 2013). In ...
SPRINGER HEIDELBERG2023Moments of the number of points in a bounded set for number field lattices
Maryna Viazovska, Nihar Prakash Gargava, Vlad Serban
We examine the moments of the number of lattice points in a fixed ball of volume for lattices in Euclidean space which are modules over the ring of integers of a number field . In particular, denoting by the number of roots of unity in , we ...
arXiv2023Ultra long turbulent eddies, magnetic topology, and the triggering of internal transport barriers in tokamaks
Stephan Brunner, Justin Richard Ball, Arnas Volcokas
Local nonlinear gyrokinetic simulations of tokamak plasmas demonstrate that turbulent eddies can extend along magnetic field lines for hundreds of poloidal turns when the magnetic shear is very small. By accurately modeling different field line topologies ...
IOP Publishing Ltd2023On rationally connected varieties over C1 fields of characteristic 0
We use birational geometry to show that the existence of rational points on proper rationally connected varieties over fields of characteristic 0 is a consequence of the existence of rational points on terminal Fano varieties. We discuss several consequenc ...
MATHEMATICAL SCIENCE PUBL2022Latest findings on the behaviour factor q for the seismic design of URM buildings
Recent earthquakes as the 2012 Emilia earthquake sequence showed that recently built unreinforced masonry (URM) buildings behaved much better than expected and sustained, despite the maximum PGA values ranged between 0.20-0.30 g, either minor damage or str ...
SPRINGER2022Low-Rank Updates Of Matrix Functions Ii: Rational Krylov Methods
Daniel Kressner, Alice Cortinovis, Marcel Schweitzer
This work develops novel rational Krylov methods for updating a large-scale matrix function f(A) when A is subject to low-rank modifications. It extends our previous work in this context on polynomial Krylov methods, for which we present a simplified conve ...
SIAM PUBLICATIONS2021Two-dimensional nanochannel membranes for molecular and ionic separations
Shaoyu Wang, Guangwei He, Yifan Li, Zheyu Jiang
Two-dimensional (2D) nanosheets have emerged as promising functional materials owing to their atomic thickness and unique physical/chemical properties. By using 2D nanosheets as building blocks, diverse kinds of two-dimensional nanochannel membranes (2DNCM ...
ROYAL SOC CHEMISTRY2020Presymplectic convexity and (ir)rational polytopes
In this paper, we extend the Atiyah-Guillemin-Sternberg convexity theorem and Delzant's classification of symplectic toric manifolds to presymplectic manifolds. We also define and study the Morita equivalence of presymplectic toric manifolds and of their c ...
2019Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics
A set is called rational if it is well approximable by finite unions of arithmetic progressions, meaning that for every there exists a set , where $a_{1},\ldots ,a_ ...
2019