Results 81 to 90 of about 274,693 (175)
Probing and Graph Coloring Techniques for Trace Estimation in Lattice QCD
ABSTRACT The computation of Tr[D−1]$\mathrm{Tr}[D^{-1}]$, where D$D$ is the Wilson–Dirac matrix of Lattice QCD, is a fundamental and computationally demanding task with applications to disconnected hadronic correlation functions. Since D−1$D^{-1}$ is a dense matrix of prohibitive size, its trace cannot be computed exactly, and one must resort to ...
Mario Papace +5 more
wiley +1 more source
On the additive image of zeroth persistent homology
Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
PerseusDL/canonical-latinLit: 0.0.3950043844
XML Canonical resources for Latin ...
Marius Jøhndal +19 more
core +1 more source
Rational points on even‐dimensional Fermat cubics
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem
Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
wiley +1 more source
A Low-Rank Tucker Decomposition-Based Channel Estimator for IRS-Assisted mmWave OFDM Systems
Intelligent reflecting surface (IRS)-assisted millimeter-wave (mmWave) systems have emerged as a promising solution to enhance coverage and spectral efficiency, while wideband transmission and frequency-selective fading lead to high-dimensional channel ...
Xi Han +5 more
doaj +1 more source
Shift invariant subspaces, factorization, and interpolation for matrices. I. the canonical case
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Ball, Joseph A., Gohberg, Israel
openaire +1 more source
The mod 2 Seiberg–Witten invariants of spin structures and spin families
Abstract We completely determine the mod 2 Seiberg–Witten invariants for any spin structure on any closed, oriented, smooth 4‐manifold X$X$. Our computation confirms the validity of the simple‐type conjecture mod 2 for spin structures. Our proof also works for families of spin 4‐manifolds and thus computes the mod 2 Seiberg–Witten invariants for spin ...
David Baraglia
wiley +1 more source
Mapping the structure of neural states associated with conscious experience
A central challenge in consciousness research concerns the relationship between neural activity and conscious experience. While decades of work have identified numerous neural correlates of consciousness, these findings increasingly indicate that ...
Francis G. Smith
doaj +1 more source
Proper affine deformations of positive representations
Abstract We define, for every positive Anosov representation of a nonabelian free group into SO(2n,2n−1)$\mathrm{SO}(2n,2n-1)$, a family of R4n−1$\mathbb {R}^{4n-1}$‐valued cocycles which induce proper affine actions on R4n−1$\mathbb {R}^{4n-1}$. We construct fundamental domains in R4n−1$\mathbb {R}^{4n-1}$ bounded by generalized crooked planes for ...
Jean‐Philippe Burelle +1 more
wiley +1 more source

