Tootfinder

Miscalculation by Spanish power grid operator REE contributed to massive blackout in Spain and Portugal, report finds.
Not enough thermal power plants were in operation to control the voltage after a disruption. Utilities blame Spain's grid operator REE.

Integration of a categorical operad
Dominik Trnka
https://arxiv.org/abs/2506.12399 https://arxiv.org/pdf/2506.12399

Integration of a categorical operad
I describe Grothendieck construction for non-symmetric operads with values in categories, and hence in groupoids and posets. The construction produces a 2-category which is operadicaly fibered over the category $Δ_s$ of finite non-empty ordinals and surjections. I describe an inverse for the construction, yielding a 1-1 correspondence of non-symmetric categorical operads and operadic 2-categories (split-)fibered over $Δ_s$, which resembles the correspondence of categorical presheaves and fibe…

As the week's cyber news continues to heat up, check out today's Metacurity before you fall behind on the critical infosec developments you should know, including
--Operation Deep Sentinel took down infamous darknet drug marketplace Archetyp Market,
--Minnesota political assassin used online data brokers to find victims,
--Scattered Spider's latest target is insurance sector,
--Thai cops arrest ransomware actors targeting China,
--$10m reward for Cybe…

Operation Deep Sentinel took down infamous darknet drug marketplace Archetyp Market
Minnesota political assassin used online data brokers to find victims, Scattered Spider's latest target is insurance sector, Thai cops arrest ransomware actors targeting China, $10m reward for CyberAv3ngers hackers, WhatsApp ads worry privacy experts, Yes24 apologizes for attack, much more

Operators of Dirac's theory with mass and axial chemical potential
Ion I. Cotaescu
https://arxiv.org/abs/2506.12748 https://arxiv…

Operators of Dirac's theory with mass and axial chemical potential
The Dirac equation with mass and axial chemical potential is solved analytically obtaining the mode spinors and corresponding projection operators giving the spectral representations of the principal conserved operators. In this framework, the odd partner of the Pryce spin operator is defined for the first time showing how these operators may be combined for defining the particle and antiparticle spin and polarization operators of Dirac's theory of massive fermions either in the free case or in…

On Levi operators between normed and vector lattices
Eduard Emelyanov
https://arxiv.org/abs/2506.12578 https://arxiv.org/pdf/2506.125…

On Levi operators between normed and vector lattices
The notion of Levi operator is an operator abstraction of the Levy property of a norm. Various aspects of Levi operators have been studied recently by several authors. The present paper is devoted to Levi operators from a normed lattice to a vector lattice. It is proved that every finite rank operator is a Levi operator. An example is given showing that the sum of a positive rank one operator and a positive compact Levi operator need not to be a Levi operator. We prove that every quasi Levi ope…

2nd-year LB has a golden opportunity in 2025 https://insidethestar.com/2nd-year-lb-has-a-golden-opportunity-in-2025

Gannett says the Detroit Free Press' joint operating agreement with The Detroit News, signed in 1989, will be dissolved at the start of 2026 (Neal Rubin/Detroit Free Press)
https://www.freep.com/story/news/local/mic

Detroit Free Press, Detroit News to end joint operating agreement at end of 2025
The Detroit Free Press and Detroit News’ joint operating agreement combined the two newspapers’ business operations since 1989.

Temu entered into a US data storage deal with Oracle last week and offered few details, but says it is part of an effort to localize more of its US operations (Shen Lu/Wall Street Journal)
https://www.wsj.com/tech/temu-battles-tikt

Eagles' Jeremiah Trotter Jr. seizing first-team opportunity; how likely will linebacker start in Week 1?

https://www.cbssports.com/nfl/news/eagle…

Rota-Baxter operators on compact simple Lie groups and algebras
Saveliy V. Skresanov
https://arxiv.org/abs/2506.14324 https://arxiv.o…

Rota-Baxter operators on compact simple Lie groups and algebras
A Rota-Baxter operator on a Lie group $ G $ is a smooth map $ B : G \to G $ such that $ B(g)B(h) = B(gB(g)hB(g)^{-1}) $ for all $ g, h \in G $. This concept was introduced in 2021 by Guo, Lang and Sheng as a Lie group analogue of Rota-Baxter operators of weight 1 on Lie algebras. We show that the only Rota-Baxter operators on compact simple Lie groups are the trivial map and the inverse map. A similar description for Rota-Baxter operators of weight 1 on compact simple Lie algebras is provided.