Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Iverson, Joseph W."'
We introduce a new infinite family of $d\times 2d$ equiangular tight frames. Many matrices in this family consist of two $d\times d$ circulant blocks. We conjecture that such equiangular tight frames exist for every $d$. We show that our conjecture h
Externí odkaz:
http://arxiv.org/abs/2410.17379
We describe a flexible technique that constructs tight fusion frames with prescribed transitive symmetry. Applying this technique with representations of the symmetric and alternating groups, we obtain several new infinite families of equi-isoclinic
Externí odkaz:
http://arxiv.org/abs/2406.19542
Every equi-isoclinic tight fusion frame (EITFF) is a type of optimal code in a Grassmannian, consisting of subspaces of a finite-dimensional Hilbert space for which the smallest principal angle between any pair of them is as large as possible. EITFFs
Externí odkaz:
http://arxiv.org/abs/2404.06417
Autor:
Fallon, Kean, Iverson, Joseph W.
We show the optimal coherence of $2d$ lines in $\mathbb{C}^{d}$ is given by the Welch bound whenever a skew Hadamard of order $d+1$ exists. Our proof uses a variant of Hadamard doubling that converts any equiangular tight frame of size $\tfrac{d-1}{2
Externí odkaz:
http://arxiv.org/abs/2312.09975
Consider the quotient of a Hilbert space by a subgroup of its automorphisms. We study whether this orbit space can be embedded into a Hilbert space by a bilipschitz map, and we identify constraints on such embeddings.
Externí odkaz:
http://arxiv.org/abs/2305.17241
In 1992, Godsil and Hensel published a ground-breaking study of distance-regular antipodal covers of the complete graph that, among other things, introduced an important connection with equi-isoclinic subspaces. This connection seems to have been ove
Externí odkaz:
http://arxiv.org/abs/2212.12617
Given a real inner product space $V$ and a group $G$ of linear isometries, we construct a family of $G$-invariant real-valued functions on $V$ that we call max filters. In the case where $V=\mathbb{R}^d$ and $G$ is finite, a suitable max filter bank
Externí odkaz:
http://arxiv.org/abs/2205.14039
Publikováno v:
In Linear Algebra and Its Applications 1 December 2024 702:240-249
An equi-isoclinic tight fusion frame (EITFF) is a type of Grassmannian code, being a sequence of subspaces of a finite-dimensional Hilbert space of a given dimension with the property that the smallest spectral distance between any pair of them is as
Externí odkaz:
http://arxiv.org/abs/2112.14267
Publikováno v:
In Applied and Computational Harmonic Analysis September 2024 72