Tootfinder

For the sake of completion I suppose I should explain what that 'desktop registration' setting does and why this could be useful for employees like @… or myself but perhaps less so for the general Vivaldi user base. 'Registering an install with the desktop environment' means adding entries to the application menus, allowing you to pin to the dock or ta…

Convergence rates for the vanishing viscosity approximation of fully nonlinear, non-convex, second-order Hamilton-Jacobi equations
Alekos Cecchin, Alessandro Goffi
https://arxiv.org/abs/2509.12144

Convergence rates for the vanishing viscosity approximation of fully nonlinear, non-convex, second-order Hamilton-Jacobi equations
We obtain new quantitative estimates of the vanishing viscosity approximation for time-dependent, degenerate, Hamilton-Jacobi equations that are neither concave nor convex in the gradient and Hessian entries of the form $\partial_t u+H(x,t,Du,D^2u)=0$ in the whole space. We approximate the PDE with a fully nonlinear, possibly degenerate, elliptic operator $\varepsilon F(x,t,D^2u)$. Assuming that $u\in C^α_x$, $u_0\in C^η$, $H\in C^β_x$ and having power growth $γ$ in the gradient entry, we e…

I just love this section at the end of your journal entries, @…! 🤩

Quantum Latin squares with all possible cardinalities
Ying Zhang, Xin Wang, Lijun Ji
https://arxiv.org/abs/2507.05642 https://arxiv.o…

Quantum Latin squares with all possible cardinalities
A quantum Latin square of order $n$ (denoted as QLS$(n)$) is an $n\times n$ array whose entries are unit column vectors from the $n$-dimensional Hilbert space $\mathcal{H}_n$, such that each row and column forms an orthonormal basis. Two unit vectors $|u\rangle, |v\rangle\in \mathcal{H}_n$ are regarded as identical if there exists a real number $θ$ such that $|u\rangle=e^{iθ}|v\rangle$; otherwise, they are considered distinct. The cardinality $c$ of a QLS$(n)$ is the numbe…

@… , the links in the latest newbotwiki entries goes 404.

Local laws and spectral properties of deformed sparse random matrices
Ji Oon Lee, Inyoung Yeo
https://arxiv.org/abs/2507.02298 https://

Local laws and spectral properties of deformed sparse random matrices
We consider deformed sparse random matrices of the form $H= W+ λV$, where $W$ is a real symmetric sparse random matrix, $V$ is a random or deterministic, real, diagonal matrix whose entries are independent of $W$, and $λ= O(1) $ is a coupling constant. Under mild assumptions on the matrix entries of $W$ and $V$, we prove local laws for $H$ that compares the empirical spectral measure of it with a refined version of the deformed semicircle law. By applying the local laws, we also prove several…

Ohhh, I just discovered that @… published a special edition with the collected entries of the “The Museum of Stolen History” series: https://www.thecontinent.org/archive

Archive | The Continent
The Continent is a free weekly newspaper, designed to be read and shared on WhatsApp. It showcases the best reporting from journalists across Africa.

Generalized Hilbert operators acting from Hardy spaces to weighted Bergman spaces
Liyi Wang, Shanli Ye
https://arxiv.org/abs/2506.19338 https://

Generalized Hilbert operators acting from Hardy spaces to weighted Bergman spaces
Let $μ$ be a positive Borel measure on the interval $[0,1)$. For $α>0$, the generalized Hankel matrix $\mathcal{H}_{μ, α}=(μ_{n, k, α})_{n, k \geq 0}$ with entries $μ_{n, k, α}=\int_{[0,1)} \frac{Γ(n+α)}{n ! Γ(α)} t^{n+k} \mathrm{d}μ(t)$ induces formally the operator \begin{equation*} \mathcal{H}_{μ, α}(f)(z)=\sum_{n=0}^{\infty}\left(\sum_{k=0}^{\infty} μ_{n, k, α} a_k\right) z^n \end{equation*} on the space of all analytic function $f(z)=\sum_{k=0}^{\infty} a_{k} z^{k}$ in the…

Bounded $H^\infty$-calculus for vectorial-valued operators with Gaussian kernel estimates
Davide Addona, Vincenzo Leone, Luca Lorenzi, Abdelaziz Rhandi
https://arxiv.org/abs/2507.16368

Bounded $H^\infty$-calculus for vectorial-valued operators with Gaussian kernel estimates
We prove that the vector-valued generator of a bounded holomorphic semigroup represented by a kernel satisfying Gaussian estimates with bounded $H^\infty$-calculus in $L^2(\mathbb R^d;\mathbb C^m)$ admits bounded $H^\infty$-calculus for every $p\in (1,\infty)$. We apply this result to the elliptic operator $-{\rm div}(Q\nabla)+V$, where the potential term V is a matrix-valued function whose entries belong to $L^1_{\rm loc}(\mathbb R^d)$ and, for almost every $x\in \mathbb R^d$, $V(x)$ is a symm…

Delocalization of Non-Mean-Field Random Matrices in Dimensions $d\ge 3$
Sofiia Dubova, Fan Yang, Horng-Tzer Yau, Jun Yin
https://arxiv.org/abs/2507.20274 https://

Delocalization of Non-Mean-Field Random Matrices in Dimensions $d\ge 3$
Consider an $N \times N$ random band matrix $H = \left(H_{xy}\right)$ with mean-zero complex Gaussian entries, where $x, y$ lie on the discrete torus $(\mathbb{Z} / \sqrt[d]{N} \mathbb{Z})^d$ in dimensions $d \ge 3$. The variance profile $\mathbb{E}\left|H_{xy}\right|^2 = S_{xy}$ vanishes when the distance between $x$ and $y$ exceeds a given bandwidth parameter $W$. We prove that if the bandwidth satisfies $W \geq N^{\mathfrak{c}}$ for some constant $\mathfrak{c} > 0$, then in the lar…

S-wave flavor-singlet meson mixing in QCD with light and charm quarks
Juan Andr\'es Urrea-Ni\~no, Jacob Finkenrath, Roman H\"ollwieser, Francesco Knechtli, Tomasz Korzec, Michael Peardon
https://arxiv.org/abs/2506.22132

S-wave flavor-singlet meson mixing in QCD with light and charm quarks
We investigate the mixing between flavor-singlet light meson and charmonium operators in the S-wave channels, i.e. pseudo-scalar and vector channel, at two different pion masses. We measure statistically significant non-zero correlations between operators with different quark content corresponding to off-diagonal entries of a flavor-singlet mixing correlation matrix. By solving a GEVP we extract the low-lying energy spectrum and compare it with the one obtained by the different types of operato…