On the distribution of angles between the N shortest vectors in a random lattice
From MaRDI portal
Publication:3103793
DOI10.1112/jlms/jdr032zbMath1268.60068arXiv1012.3376OpenAlexW3098285934MaRDI QIDQ3103793
Publication date: 8 December 2011
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1012.3376
eigenvalueseigenfunctionsjoint distributionangleslengthsLaplacian on flat torirandom n-dimensional latticeshortest lattice vectors
Lattices and convex bodies (number-theoretic aspects) (11H06) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Related Items (12)
On the distribution of lengths of short vectors in a random lattice ⋮ Bounding basis reduction properties ⋮ DANCo: an intrinsic dimensionality estimator exploiting angle and norm concentration ⋮ On the distribution of angles between increasingly many short lattice vectors ⋮ On the location of the zero-free half-plane of a random Epstein zeta function ⋮ On the universality of the Epstein zeta function ⋮ Adelic Rogers integral formula ⋮ On the generalized circle problem for a random lattice in large dimension ⋮ A volume estimate for the set of stable lattices ⋮ Volumes for \(\text{SL}_N(\mathbb{R})\), the Selberg integral and random lattices ⋮ On the geometry of nearly orthogonal lattices ⋮ Local angles and dimension estimation from data on manifolds
This page was built for publication: On the distribution of angles between the N shortest vectors in a random lattice
